BibTeX
On this page all publications of Prof. Dr. Michael Růžička are listed in BibTeX format.
preprints.bib
@article{KR24pressureFE,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Conditional quasi-optimal error estimate for a finite element discretization of the
$p$-{N}avier–{S}tokes equations: The case $p > 2$},
year = {2024},
note = {accepted}
}
@article{bgkr-optimal-dg,
author = {Blechta, J. and Gazca-Orozco, P.A. and A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Quasi-optimal {D}iscontinuous {G}alerkin discretisations of the
$p$-{D}irichlet problem},
year = {2024},
note = {submitted},
url = {https://arxiv.org/abs/2311.15737}
}
@article{rrt-poincare,
author = {Blechta, J. and Gazca-Orozco, P.A. and A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Exact Poincar{\'e} constants in three-dimensional annuli},
year = {2025},
note = {submitted},
url = {https://arxiv.org/abs/2506.13891}
}
articles.bib
@article{MR3373570,
author = {Ettwein, F. and R{\r{u}}{\v{z}}i{\v{c}}ka, M. and Weber,
B.},
title = {Existence of steady solutions for micropolar
electrorheological fluid flows},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal. Series A: Theory and
Methods},
volume = {125},
year = {2015},
pages = {1--29},
issn = {0362-546X},
mrclass = {35Q35 (35A01 35D30 76W05)},
mrnumber = {3373570},
doi = {10.1016/j.na.2015.05.004},
url = {http://dx.doi.org/10.1016/j.na.2015.05.004}
}
@article{MR3335220,
author = {Berselli, Luigi C. and Diening, Lars and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Optimal error estimate for semi-implicit space-time
discretization for the equations describing incompressible
generalized {N}ewtonian fluids},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {35},
year = {2015},
number = {2},
pages = {680--697},
issn = {0272-4979},
mrclass = {65M60 (65M15 76A05)},
mrnumber = {3335220},
mrreviewer = {Miloslav Feistauer},
doi = {10.1093/imanum/dru008},
url = {https://arxiv.org/abs/1307.7578}
}
@article{MR3281588,
author = {Kr{\"o}ner, Dietmar and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael
and Toulopoulos, Ioannis},
title = {Numerical solutions of systems with {$(p,\delta)$}-structure
using local discontinuous {G}alerkin finite element methods},
journal = {Internat. J. Numer. Methods Fluids},
fjournal = {International Journal for Numerical Methods in Fluids},
volume = {76},
year = {2014},
number = {11},
pages = {855--874},
issn = {0271-2091},
mrclass = {65M60},
mrnumber = {3281588},
mrreviewer = {Florin A. Radu},
doi = {10.1002/fld.3955},
url = {http://dx.doi.org/10.1002/fld.3955}
}
@article{MR3269432,
author = {Diening, Lars and K{\"o}ner, Dietmar and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael and Toulopoulos,
Ioannis},
title = {A local discontinuous {G}alerkin approximation for systems
with {$p$}-structure},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {34},
year = {2014},
number = {4},
pages = {1447--1488},
issn = {0272-4979},
mrclass = {65N30 (65N15)},
mrnumber = {3269432},
doi = {10.1093/imanum/drt040},
url = {http://dx.doi.org/10.1093/imanum/drt040}
}
@article{MR3209381,
author = {Kr{\"o}ner, Dietmar and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael
and Toulopoulos, Ioannis},
title = {Local discontinuous {G}alerkin numerical solutions of
non-{N}ewtonian incompressible flows modeled by
{$p$}-{N}avier-{S}tokes equations},
journal = {J. Comput. Phys.},
fjournal = {Journal of Computational Physics},
volume = {270},
year = {2014},
pages = {182--202},
issn = {0021-9991},
mrclass = {65M60 (76A05)},
mrnumber = {3209381},
doi = {10.1016/j.jcp.2014.03.045},
url = {http://dx.doi.org/10.1016/j.jcp.2014.03.045}
}
@article{MR3147436,
author = {Lengeler, Daniel and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Weak solutions for an incompressible {N}ewtonian fluid
interacting with a {K}oiter type shell},
journal = {Arch. Ration. Mech. Anal.},
fjournal = {Archive for Rational Mechanics and Analysis},
volume = {211},
year = {2014},
number = {1},
pages = {205--255},
issn = {0003-9527},
mrclass = {35Q35 (35D30 35Q74 74F10 74K25 76D05)},
mrnumber = {3147436},
mrreviewer = {Zhaoyin Xiang},
doi = {10.1007/s00205-013-0686-9},
url = {https://arxiv.org/abs/1207.3696}
}
@article{MR3015793,
author = {Shelukhin, V. V. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {On {C}osserat-{B}ingham fluids},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik.
Journal of Applied Mathematics and Mechanics},
volume = {93},
year = {2013},
number = {1},
pages = {57--72},
issn = {0044-2267},
mrclass = {76A10 (76D99)},
mrnumber = {3015793},
mrreviewer = {Marco Picasso},
doi = {10.1002/zamm.201200037},
url = {http://dx.doi.org/10.1002/zamm.201200037}
}
@article{MR2989738,
author = {Diening, L. and N{\"a}gele, P. and
R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {Monotone operator theory for unsteady problems in variable
exponent spaces},
journal = {Complex Var. Elliptic Equ.},
fjournal = {Complex Variables and Elliptic Equations. An International
Journal},
volume = {57},
year = {2012},
number = {11},
pages = {1209--1231},
issn = {1747-6933},
mrclass = {47H05 (35A16 35K20 35K59 46E35)},
mrnumber = {2989738},
mrreviewer = {Vitaly A. Volpert},
doi = {10.1080/17476933.2011.557157},
url = {http://dx.doi.org/10.1080/17476933.2011.557157}
}
@article{MR2964746,
author = {Eberlein, Hannes and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Existence of weak solutions for unsteady motions of
{H}erschel-{B}ulkley fluids},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {14},
year = {2012},
number = {3},
pages = {485--500},
issn = {1422-6928},
mrclass = {35Q35 (35D30)},
mrnumber = {2964746},
mrreviewer = {Nader Masmoudi},
doi = {10.1007/s00021-011-0080-z},
url = {http://dx.doi.org/10.1007/s00021-011-0080-z}
}
@article{MR2914267,
author = {Belenki, L. and Berselli, L. C. and Diening, L. and
R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {On the finite element approximation of {$p$}-{S}tokes systems},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {50},
year = {2012},
number = {2},
pages = {373--397},
issn = {0036-1429},
coden = {SJNAAM},
mrclass = {65N30 (76A05 76M10)},
mrnumber = {2914267},
mrreviewer = {Biyue Liu},
doi = {10.1137/10080436X},
url = {http://dx.doi.org/10.1137/10080436X}
}
@article{MR2884088,
author = {Novotn{\'y}, Anton{\'{\i}}n and R{\r{u}}{\v{z}}i{\v{c}}ka,
Michael and Th{\"a}ter, Gudrun},
title = {Rigorous derivation of the anelastic approximation to the
{O}berbeck-{B}oussinesq equations},
journal = {Asymptot. Anal.},
fjournal = {Asymptotic Analysis},
volume = {75},
year = {2011},
number = {1-2},
pages = {93--123},
issn = {0921-7134},
coden = {ASANEZ},
mrclass = {35Q35 (76N15)},
mrnumber = {2884088},
mrreviewer = {Tong Yang}
}
@article{MR2832214,
author = {Diening, L. and Lengeler, D. and
R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {The {S}tokes and {P}oisson problem in variable exponent
spaces},
journal = {Complex Var. Elliptic Equ.},
fjournal = {Complex Variables and Elliptic Equations. An International
Journal},
volume = {56},
year = {2011},
number = {7-9},
pages = {789--811},
issn = {1747-6933},
mrclass = {35Q35 (32A55 35A01 35D30 35D35 46E35)},
mrnumber = {2832214},
doi = {10.1080/17476933.2010.504843},
url = {https://arxiv.org/abs/1205.3287}
}
@article{MR2824490,
author = {Beir{\~a}o da Veiga, Hugo and Kaplick{\'y}, Petr and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Boundary regularity of shear thickening flows},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {13},
year = {2011},
number = {3},
pages = {387--404},
issn = {1422-6928},
mrclass = {35Q35 (35B65 35D30 76D03 76D05)},
mrnumber = {2824490},
mrreviewer = {Yong Wang},
doi = {10.1007/s00021-010-0025-y},
url = {http://dx.doi.org/10.1007/s00021-010-0025-y}
}
@article{MR2788333,
author = {Passerini, A. and Ferrario, C. and
R{\r{u}}{\v{z}}i{\v{c}}ka, M. and Th{\"a}ter, G.},
title = {Theoretical results on steady convective flows between
horizontal coaxial cylinders},
journal = {SIAM J. Appl. Math.},
fjournal = {SIAM Journal on Applied Mathematics},
volume = {71},
year = {2011},
number = {2},
pages = {465--486},
issn = {0036-1399},
coden = {SMJMAP},
mrclass = {76E09 (35Q35 76D03)},
mrnumber = {2788333},
doi = {10.1137/100791427},
url = {http://dx.doi.org/10.1137/100791427}
}
@article{MR2771335,
author = {Novotn{\'y}, Anton{\'{\i}}n and R{\r{u}}{\v{z}}i{\v{c}}ka,
Michael and Th{\"a}ter, Gudrun},
title = {Singular limit of the equations of magnetohydrodynamics in the
presence of strong stratification},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {21},
year = {2011},
number = {1},
pages = {115--147},
issn = {0218-2025},
mrclass = {76W05 (35Q35 35Q60 78A25)},
mrnumber = {2771335},
mrreviewer = {Bernard Ducomet},
doi = {10.1142/S0218202511005003},
url = {http://dx.doi.org/10.1142/S0218202511005003}
}
@incollection{MR2732010,
author = {Frehse, Jens and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Existence of a regular periodic solution to the {R}othe
approximation of the {N}avier-{S}tokes equation in arbitrary
dimension},
booktitle = {New directions in mathematical fluid mechanics},
series = {Adv. Math. Fluid Mech.},
pages = {181--192},
publisher = {Birkh\"auser Verlag, Basel},
year = {2010},
mrclass = {35Q30 (35A35 35B65 76D05)},
mrnumber = {2732010}
}
@article{MR2754072,
author = {Frehse, Jens and M{\'a}lek, Josef and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Large data existence result for unsteady flows of
inhomogeneous shear-thickening heat-conducting incompressible
fluids},
journal = {Comm. Partial Differential Equations},
fjournal = {Communications in Partial Differential Equations},
volume = {35},
year = {2010},
number = {10},
pages = {1891--1919},
issn = {0360-5302},
coden = {CPDIDZ},
mrclass = {35Q35 (35D30)},
mrnumber = {2754072},
mrreviewer = {Pawe{\l} Konieczny},
doi = {10.1080/03605300903380746},
url = {http://dx.doi.org/10.1080/03605300903380746}
}
@article{MR2645169,
author = {Beir{\~a}o da Veiga, Hugo and Kaplick{\'y}, Petr and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Regularity theorems, up to the boundary, for shear thickening
flows},
journal = {C. R. Math. Acad. Sci. Paris},
fjournal = {Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris},
volume = {348},
year = {2010},
number = {9-10},
pages = {541--544},
issn = {1631-073X},
mrclass = {35Q05 (76D03 76D05)},
mrnumber = {2645169},
mrreviewer = {Caidi Zhao},
doi = {10.1016/j.crma.2010.04.010},
url = {http://dx.doi.org/10.1016/j.crma.2010.04.010}
}
@article{MR2668872,
author = {Diening, Lars and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael and
Wolf, J{\"o}rg},
title = {Existence of weak solutions for unsteady motions of
generalized {N}ewtonian fluids},
journal = {Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)},
fjournal = {Annali della Scuola Normale Superiore di Pisa. Classe di
Scienze. Serie V},
volume = {9},
year = {2010},
number = {1},
pages = {1--46},
issn = {0391-173X},
mrclass = {76D03 (34A34 35D30 35Q35 76A05)},
mrnumber = {2668872},
mrreviewer = {Miroslav Bul{\'{\i}}{\v{c}}ek}
}
@article{MR2610563,
author = {Diening, Lars and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {An existence result for non-{N}ewtonian fluids in non-regular
domains},
journal = {Discrete Contin. Dyn. Syst. Ser. S},
fjournal = {Discrete and Continuous Dynamical Systems. Series S},
volume = {3},
year = {2010},
number = {2},
pages = {255--268},
issn = {1937-1632},
mrclass = {35Q35 (76A05 76D03)},
mrnumber = {2610563},
mrreviewer = {Francesca Crispo},
doi = {10.3934/dcdss.2010.3.255},
url = {http://dx.doi.org/10.3934/dcdss.2010.3.255}
}
@article{MR2602916,
author = {Berselli, Luigi C. and Diening, Lars and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Existence of strong solutions for incompressible fluids with
shear dependent viscosities},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {12},
year = {2010},
number = {1},
pages = {101--132},
issn = {1422-6928},
mrclass = {76A05 (35D35 35Q35)},
mrnumber = {2602916},
mrreviewer = {Ilia S. Mogilevski{\u\i}},
doi = {10.1007/s00021-008-0277-y},
url = {http://dx.doi.org/10.1007/s00021-008-0277-y}
}
@article{MR2531382,
author = {Passerini, Arianna and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael
and Th{\"a}ter, Gudrun},
title = {Natural convection between two horizontal coaxial cylinders},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik.
Journal of Applied Mathematics and Mechanics},
volume = {89},
year = {2009},
number = {5},
pages = {399--413},
issn = {0044-2267},
mrclass = {76R10},
mrnumber = {2531382},
doi = {10.1002/zamm.200800222},
url = {http://dx.doi.org/10.1002/zamm.200800222}
}
@article{MR2519599,
author = {Berselli, Luigi C. and Diening, Lars and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Optimal error estimates for a semi-implicit {E}uler scheme for
incompressible fluids with shear dependent viscosities},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {47},
year = {2009},
number = {3},
pages = {2177--2202},
issn = {0036-1429},
mrclass = {76A05 (35Q35 65M15)},
mrnumber = {2519599},
mrreviewer = {Georgios C. Georgiou},
doi = {10.1137/080720024},
url = {http://dx.doi.org/10.1137/080720024}
}
@article{MR2429617,
author = {Frehse, Jens and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Non-homogeneous generalized {N}ewtonian fluids},
journal = {Math. Z.},
fjournal = {Mathematische Zeitschrift},
volume = {260},
year = {2008},
number = {2},
pages = {355--375},
issn = {0025-5874},
coden = {MAZEAX},
mrclass = {35Q35 (35D05 76A05 76D03)},
mrnumber = {2429617},
mrreviewer = {Marco A. Fontelos},
doi = {10.1007/s00209-007-0278-1},
url = {http://dx.doi.org/10.1007/s00209-007-0278-1}
}
@incollection{MR2657118,
author = {R{\r{u}}{\v{z}}i{\v{c}}ka, Michael and Diening, Lars},
title = {Non-{N}ewtonian fluids and function spaces},
booktitle = {N{AFSA} 8--{N}onlinear analysis, function spaces and
applications. {V}ol. 8},
pages = {94--143},
publisher = {Czech. Acad. Sci., Prague},
year = {2007},
mrclass = {35Q30 (31C15 46E35 46N20 76A05 76D03 76W05)},
mrnumber = {2657118},
mrreviewer = {Fran{\c{c}}ois Vigneron}
}
@article{MR2346460,
author = {Diening, L. and Ettwein, F. and R{\r{u}}{\v{z}}i{\v{c}}ka,
M.},
title = {{$C^{1,\alpha}$}-regularity for electrorheological fluids
in two dimensions},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {14},
year = {2007},
number = {1-2},
pages = {207--217},
issn = {1021-9722},
coden = {NDEAFL},
mrclass = {76A05 (35B65 35Q35 76D03 76W05)},
mrnumber = {2346460},
doi = {10.1007/s00030-007-5026-z},
url = {http://dx.doi.org/10.1007/s00030-007-5026-z}
}
@article{MR2317830,
author = {Diening, L. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {Interpolation operators in {O}rlicz-{S}obolev spaces},
journal = {Numer. Math.},
fjournal = {Numerische Mathematik},
volume = {107},
year = {2007},
number = {1},
pages = {107--129},
issn = {0029-599X},
coden = {NUMMA7},
mrclass = {65N30 (35J60 46E30 46E35 46N40)},
mrnumber = {2317830},
doi = {10.1007/s00211-007-0079-9},
url = {http://dx.doi.org/10.1007/s00211-007-0079-9}
}
@article{MR2323712,
author = {Ettwein, F. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {Existence of local strong solutions for motions of
electrorheological fluids in three dimensions},
journal = {Comput. Math. Appl.},
fjournal = {Computers \& Mathematics with Applications. An International
Journal},
volume = {53},
year = {2007},
number = {3-4},
pages = {595--604},
issn = {0898-1221},
coden = {CMAPDK},
mrclass = {76D03 (35Q35 76A99 76W05)},
mrnumber = {2323712},
mrreviewer = {Ruxandra Stavre},
doi = {10.1016/j.camwa.2006.02.032},
url = {http://dx.doi.org/10.1016/j.camwa.2006.02.032}
}
@article{MR2300281,
author = {Diening, Lars and Ebmeyer, Carsten and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Optimal convergence for the implicit space-time discretization
of parabolic systems with {$p$}-structure},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {45},
year = {2007},
number = {2},
pages = {457--472 (electronic)},
issn = {0036-1429},
mrclass = {65M60},
mrnumber = {2300281},
mrreviewer = {Srinivasan Kesavan},
doi = {10.1137/05064120X},
url = {http://dx.doi.org/10.1137/05064120X}
}
@article{MR2314329,
author = {Kagei, Yoshiyuki and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael
and Th{\"a}ter, Gudrun},
title = {A limit problem in natural convection},
journal = {NoDEA Nonlinear Differential Equations Appl.},
fjournal = {NoDEA. Nonlinear Differential Equations and Applications},
volume = {13},
year = {2006},
number = {4},
pages = {447--467},
issn = {1021-9722},
coden = {NDEAFL},
mrclass = {35K55 (35B20 35D05 35Q35 76E20 76R99)},
mrnumber = {2314329},
mrreviewer = {Alberto Valli},
doi = {10.1007/s00030-006-4020-1},
url = {http://dx.doi.org/10.1007/s00030-006-4020-1}
}
@article{MR2231860,
author = {Diening, Lars and Prohl, Andreas and
R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Semi-implicit {E}uler scheme for generalized {N}ewtonian
fluids},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {44},
year = {2006},
number = {3},
pages = {1172--1190 (electronic)},
issn = {0036-1429},
mrclass = {65M06 (35Q35 76A05 76M25)},
mrnumber = {2231860},
mrreviewer = {Komali S. Sastri},
doi = {10.1137/050634335},
url = {http://dx.doi.org/10.1137/050634335}
}
@article{MR2189915,
author = {M{\'a}lek, J. and R{\r{u}}{\v{z}}i{\v{c}}ka, M. and
Shelukhin, V. V.},
title = {Herschel-{B}ulkley fluids: existence and regularity of steady
flows},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {15},
year = {2005},
number = {12},
pages = {1845--1861},
issn = {0218-2025},
mrclass = {76A05 (35Q35 76D03)},
mrnumber = {2189915},
mrreviewer = {Ilia S. Mogilevski{\u\i}},
doi = {10.1142/S0218202505000996},
url = {http://dx.doi.org/10.1142/S0218202505000996}
}
@article{MR2166983,
author = {Diening, Lars and R{\r{u}}{\v{z}}i{\v{c}}ka, Michael},
title = {Strong solutions for generalized {N}ewtonian fluids},
journal = {J. Math. Fluid Mech.},
fjournal = {Journal of Mathematical Fluid Mechanics},
volume = {7},
year = {2005},
number = {3},
pages = {413--450},
issn = {1422-6928},
mrclass = {76A05 (35D05 35D10 35Q35 76D03)},
mrnumber = {2166983},
mrreviewer = {Thomas Hagen},
doi = {10.1007/s00021-004-0124-8},
url = {http://dx.doi.org/10.1007/s00021-004-0124-8}
}
@article{MR2086976,
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journal = {J. Math. Anal. Appl.},
year = {2017},
url = {https://arxiv.org/abs/1607.06297},
doi = {10.1016/j.jmaa.2017.01.016},
volume = {450},
number = {2},
pages = {839–-871}
}
@article{br-mperf,
author = {B\"aumle, E. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {Existence of weak solutions for unsteady motions of
micro-polar electrorheological fluids},
journal = {SIAM J. Math. Anal.},
fjournal = {SIAM Journal on Mathematical Analysis},
volume = {49},
year = {2017},
number = {1},
pages = {115--141},
doi = {10.1137/15M1042188},
url = {https://arxiv.org/abs/1510.00161}
}
@article{br-hirano,
author = {B{\"a}umle, E. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
title = {Note on the existence theory for evolution equations with
pseudo-monotone operators},
year = {2017},
doi = {10.1007/s11587-016-0285-9},
url = {https://arxiv.org/abs/1510.00151},
journal = {Ric. Mat.},
pages = {35--50},
volume = {66},
number = {1}
}
@article{rss-cb-steady,
author = {R{\r{u}}{\v{z}}i{\v{c}}ka, M. and Shelukhin, V. V. and
dos Santos, M. M.},
title = {Steady flows of {C}osserat-{B}ingham fluids},
journal = {Math. Methods Appl. Sci.},
fjournal = {Mathematical Methods in the Applied Sciences},
volume = {40},
year = {2017},
number = {7},
pages = {2746--2761},
issn = {0170-4214},
mrclass = {76D03 (35Q35 76A10)},
mrnumber = {3636727},
doi = {10.1002/mma.4195},
url = {http://dx.doi.org/10.1002/mma.4195}
}
@article{rrt-poincare,
author = {Rummler, B. and R{\r u}{\v{z}}i{\v{c}}ka, M. and
Th{\"a}ter, G.},
title = {Exact {P}oincar\'e constants in two-dimensional annuli},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"ur Angewandte Mathematik und Mechanik.
Journal of Applied Mathematics and Mechanics},
volume = {97},
year = {2017},
number = {1},
pages = {110--122},
issn = {0044-2267},
mrclass = {35A23 (35J05 35J08 35Q35 76D07)},
mrnumber = {3601955},
doi = {10.1002/zamm.201500299},
url = {http://dx.doi.org/10.1002/zamm.201500299}
}
@article{sip,
author = {Malkmus, T. and R{\r u}{\v z}i{\v c}ka, M. and Eckstein, S. and Toulopoulos,
I.},
title = {Generalizations of {SIP} methods to systems with
{$p$-structure}},
journal = {IMA J. Numer. Anal.},
fjournal = {IMA Journal of Numerical Analysis},
volume = {38},
year = {2018},
number = {3},
pages = {1420--1451},
issn = {0272-4979},
mrclass = {Prelim},
mrnumber = {3829165},
doi = {10.1093/imanum/drx040},
url = {https://doi.org/10.1093/imanum/drx040}
}
@article{nr-moving,
author = {N\"agele, P. and R{\r u}{\v z}i{\v c}ka, M.},
title = {Generalized {N}ewtonian fluids in moving domains},
journal = {J. Differential Equations},
fjournal = {Journal of Differential Equations},
volume = {264},
year = {2018},
number = {2},
pages = {835--866},
issn = {0022-0396},
mrclass = {76D03 (35K55 35R37 46B50 74F10 76A05)},
mrnumber = {3720831},
mrreviewer = {Lorenzo Fusi},
doi = {10.1016/j.jde.2017.09.022},
url = {https://doi.org/10.1016/j.jde.2017.09.022}
}
@article{kr-nekorn,
author = {M. K{\v r}epela and M. R{\r u}{\v z}i{\v c}ka},
title = {A counterexample related to the regularity of the $p$-{S}tokes problem},
journal = {J. Math. Science},
note = {translated from Problemy Matematicheskogo Analiza 92, 2018, pp. 159--168},
volume = {232 (3)},
pages = {390--401},
url = {http://arxiv.org/abs/1711.07834},
doi = {https://doi.org/10.1007/s10958-018-3879-9},
year = {2018}
}
@article{sarah-phd,
author = {S. Eckstein and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {On the full space--time discretization of the generalized
{S}tokes equations: The {D}irichlet case},
url = {https://arxiv.org/abs/1610.06320},
journal = {SIAM J. Numer. Anal.},
fjournal = {SIAM Journal on Numerical Analysis},
volume = {56},
year = {2018},
number = {4},
pages = {2234--2261},
doi = {https://doi.org/10.1137/16M1099741}
}
@article{br-plasticity,
author = {L. C. Berselli and M. R{\r u}{\v z}i{\v c}ka},
title = {Global regularity for systems with {$p$}-structure depending
on the symmetric gradient},
journal = {Adv. Nonlinear Anal.},
fjournal = {Advances in Nonlinear Analysis},
volume = {9},
year = {2020},
number = {1},
pages = {176--192},
issn = {2191-9496},
mrclass = {76D03 (35B65 35D35 35Q35)},
mrnumber = {3935869},
doi = {10.1515/anona-2018-0090},
url = {http://arxiv.org/abs/1712.02649}
}
@article{kr-diff-free,
author = {K\v{r}epela, M. and R\r{u}\v{z}i\v{c}ka, M.},
title = {Solenoidal difference quotients and their application to the
regularity theory of the $p$-{S}tokes system},
journal = {Calc. Var. Partial Differential Equations},
fjournal = {Calculus of Variations and Partial Differential Equations},
volume = {59},
year = {2020},
number = {1},
pages = {Paper No. 34, 24},
issn = {0944-2669},
mrclass = {42B37 (35B45 35B65 35Q30 42B20 76D07)},
mrnumber = {4054868},
doi = {10.1007/s00526-019-1691-0},
url = {http://arxiv.org/abs/1903.06443}
}
@article{br-fully,
author = {S. Bartels and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Convergence of fully discrete implicit
and semi-implicit approximations of singular parabolic equations},
year = {2020},
journal = {SIAM J. Numer. Anal.},
volume = {58},
number = {1},
pages = {811--833},
doi = {10.1137/19M126551X},
url = {http://arxiv.org/abs/1902.08122}
}
@article{alex-rose-hirano,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Note on the existence theory for pseudo-monotone evolution problems},
year = {2021},
journal = {J. Evol. Equ.},
volume = {21},
number = {1},
pages = {247--276},
doi = {10.1007/s00028-020-00577-y},
url = {http://arxiv.org/abs/1905.13591}
}
@article{br-parabolic-repovs,
author = {L. C. Berselli and M. R{\r u}{\v z}i{\v c}ka},
title = {On the regularity of solution to the time-dependent $p$-{S}tokes system},
journal = {Opuscula Math.},
volume = {40},
number = {1},
pages = {49--69},
doi = {10.7494/OpMath.2020.40.1.49},
year = {2020}
}
@article{kr-nekorn-add,
author = {M. K{\v r}epela and M. R{\r u}{\v z}i{\v c}ka},
title = {Addendum to "{}{A} counterexample related to the regularity of the $p$-{S}tokes problem{}"{}},
journal = {J. Math. Science},
volume = {247},
number = {6},
pages = {957--959},
year = {2020}
}
@article{alex-rose-lptx-sym,
author = {Kaltenbach, A. and R\ocirc{u}\v{z}i\v{c}ka, M.},
title = {Variable exponent {B}ochner-{L}ebesgue spaces with symmetric
gradient structure},
journal = {J. Math. Anal. Appl.},
fjournal = {Journal of Mathematical Analysis and Applications},
volume = {503},
year = {2021},
number = {2},
pages = {Paper No.~125355, 34},
issn = {0022-247X},
mrclass = {46E35 (35K52 46E30)},
mrnumber = {4264192},
doi = {10.1016/j.jmaa.2021.125355},
url = {http://arxiv.org/abs/2010.05745}
}
@article{julius-steady,
author = {Je{\ss}berger, J. and R\ocirc{u}\v{z}i\v{c}ka, M.},
title = {Existence of weak solutions for inhomogeneous generalized
{N}avier-{S}tokes equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {212},
year = {2021},
pages = {Paper No.~112538, 16},
issn = {0362-546X},
mrclass = {35Q35 (35B45 35J92 76D03)},
mrnumber = {4299100},
doi = {10.1016/j.na.2021.112538},
url = {http://arxiv.org/abs/2006.11087}
}
@article{alex-rose-nonconform,
author = {Berselli, L. C. and Kaltenbach, A. and R\ocirc{u}\v{z}i\v{c}ka, M.},
title = {Analysis of fully discrete, quasi non-conforming
approximations of evolution equations and applications},
journal = {Math. Models Methods Appl. Sci.},
fjournal = {Mathematical Models and Methods in Applied Sciences},
volume = {31},
year = {2021},
number = {11},
pages = {2297--2343},
issn = {0218-2025},
mrclass = {47H05 (35A01 35K90 65M12)},
mrnumber = {4344263},
doi = {10.1142/S0218202521500494},
url = {https://arxiv.org/abs/2007.15449}
}
@article{br-pnse,
author = {Berselli, L. C. and R\ocirc{u}\v{z}i\v{c}ka, M.},
title = {Optimal error estimate for a space-time discretization for
incompressible generalized {N}ewtonian fluids: the {D}irichlet
problem},
journal = {Partial Differ. Equ. Appl.},
fjournal = {Partial Differential Equations and Applications},
volume = {2},
year = {2021},
number = {4},
pages = {Paper No.~59},
issn = {2662-2963},
mrnumber = {4338304},
doi = {10.1007/s42985-021-00082-y},
url = {http://arXiv.org/abs/2011.12796}
}
@article{eber-ru-phd,
author = {H. Eberlein and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Global weak solutions for an {N}ewtonian fluid interacting
with a {K}oiter type shell under natural boundary conditions},
year = {2021},
pages = {4093--4140},
journal = {DCDS-S},
doi = {10.3934/dcdss.2020419},
url = {http://arxiv.org/abs/1807.07348}
}
@article{br-parabolic,
author = {L. C. Berselli and M. R{\r u}{\v z}i{\v c}ka},
title = {Space-time discretization for nonlinear parabolic systems with $p$-structure},
journal = {IMA J. Numerical Analysis},
volume = {42},
year = {2022},
pages = {260--299},
url = {http://arxiv.org/abs/2001.09888},
doi = {10.1093/imanum/draa079}
}
@article{br-multiple-approx,
title = {Natural second-order regularity for parabolic systems with
operators having $(p,\delta)$-structure and depending only on the
symmetric gradient},
author = {L. C. Berselli and M. R\r{u}\v{z}i\v{c}ka},
year = {2022},
journal = {Calc. Var. PDEs},
vol = {61},
pages = {Paper No.~137},
doi = {10.1007/s00526-022-02247-y},
url = {http://arxiv.org/abs/2111.02211}
}
@incollection{br-volume-chung,
author = {Berselli, L. C. and R{\r{u}}{\v{z}}i{\v{c}}ka, M.},
editor = {Carapau, F. Vaidya, A.},
title = {Natural Second-Order Regularity for Systems in the Case $1<p\le 2$ Using the ${A}$-Approximation},
booktitle = {Recent Advances in Mechanics and Fluid-Structure Interaction with Applications: The Bong Jae Chung Memorial Volume},
year = {2022},
publisher = {Springer International Publishing},
pages = {3--37},
url = {http://arxiv.org/abs/2112.12225},
doi = {10.1007/978-3-031-14324-3_1}
}
@article{roger,
title = {On the existence of weak solutions for a family of unsteady rotational
{S}magorinsky models},
author = {L. C. Berselli and A. Kaltenbach and R. Lewandowski and M. R\r{u}\v{z}i\v{c}ka},
year = {2023},
volume = {8},
number = {1},
pages = {83--102},
journal = {Pure Appl. Funct. Anal.},
url = {http://arxiv.org/abs/2107.00236},
doi = {http://yokohamapublishers.jp/online2/oppafa/vol8/p83.html}
}
@article{kr-non-log,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Existence of steady solutions for a model for micropolar electrorheological fluid
flows with not globally $\log$--{H}ölder continuous shear exponent},
year = {2023},
volume = {25},
pages = {Paper No.~40},
journal = {J. Math. Fluid Mech.},
url = {http://arxiv.org/abs/2112.08026},
doi = {10.1007/s00021-023-00782-y}
}
@article{kr-orlicz-ldg,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Convergence analysis of a {L}ocal {D}iscontinuous {G}alerkin approximation for
nonlinear systems with balanced {O}rlicz-structure},
year = {2023},
volume = {57},
number = {3},
pages = {1381--1411},
journal = {ESAIM Math. Model. Numer. Anal.},
url = {http://arxiv.org/abs/2204.09984},
doi = {https://doi.org/10.1051/m2an/2023028}
}
@article{kr-pnse-ldg-1,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {A {L}ocal {D}iscontinuous {G}alerkin approximation for the $p$-{N}avier-{S}tokes system, {P}art~{I}: {C}onvergence analysis},
year = {2023},
volume = {61},
pages = {1613--1640},
journal = {SIAM J. Num. Anal.},
url = {https://arxiv.org/abs/2208.04106},
doi = {10.1137/22M151474X}
}
@article{kr-pnse-ldg-2,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {A {L}ocal {D}iscontinuous {G}alerkin approximation for the $p$-{N}avier-{S}tokes system, {P}art~{II}: {C}onvergence rates for the velocity},
year = {2023},
volume = {61},
pages = {1641--1663},
journal = {SIAM J. Num. Anal.},
doi = {10.1137/22M1514751},
url = {https://arxiv.org/abs/2208.04107}
}
@article{kr-pnse-ldg-3,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {A {L}ocal {D}iscontinuous {G}alerkin approximation for the $p$-{N}avier-{S}tokes system, {P}art~{III}: {C}onvergence rates for the pressure},
year = {2023},
volume = {61},
pages = {1763--1782},
journal = {SIAM J. Num. Anal.},
doi = {10.1137/22M1541472},
url = {https://arxiv.org/abs/2210.06985}
}
@article{kr-unsteady-dg,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications},
year = {2023},
journal = {Math. Models Methods Appl. Sci.},
volume = {33},
pages = {1147--1192},
url = {https://arxiv.org/abs/2212.06648},
doi = {10.1142/S0218202523500197}
}
@article{kr-micro,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Existence of steady solutions for a general model for micropolar electrorheological fluid flows},
year = {2023},
journal = {SIAM J. Math. Anal.},
volume = {55},
pages = {2238--2260},
doi = {10.1137/22M1500599},
url = {http://arxiv.org/abs/2112.06512}
}
@article{kang-halfspace,
author = {K. Kang and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {{L}iouville type problem for the steady $p$-{S}tokes system in the half-space},
year = {2024},
journal = {J. Diff. Equa.},
volume = {414},
pages = {455--486},
doi = {https://doi.org/10.1016/j.jde.2024.09.014}
}
@article{KR24pressureDG,
author = {A. Kaltenbach and M. R{\r{u}}{\v{z}}i{\v{c}}ka},
title = {Note on quasi-optimal error estimates for the pressure for shear-thickening fluids},
journal = {ESAIM Math. Model. Numer. Anal.},
fjournal = {ESAIM. Mathematical Modelling and Numerical Analysis},
volume = {58},
year = {2024},
number = {5},
pages = {1907--1933},
url = {https://arxiv.org/abs/2402.03056},
doi = {https://doi.org/10.1051/m2an/2024051}
}
@article{arrt-poincare,
author = {Passerini, A. and Rummler, B. and R{\r u}{\v{z}}i{\v{c}}ka, M. and
Th{\"a}ter, G.},
title = {Natural convection in the horizontal annulus: {C}ritical {R}ayleigh
number for the steady problem},
journal = {ZAMM Z. Angew. Math. Mech.},
fjournal = {ZAMM. Zeitschrift f\"{u}r Angewandte Mathematik und Mechanik.
Journal of Applied Mathematics and Mechanics},
volume = {105},
year = {2025},
number = {3},
pages = {Paper No. e202300535, 23},
doi = {https://doi.org/10.1002/zamm.202300535}
}
@article{bkr-halfspace-energy,
author = {Berselli, L. C. and Kaltenbach, A. and R{\r{u}}\v{z}i\v{c}ka, M.},
title = {Energy conservation for weak solutions of incompressible {N}ewtonian fluid
equations in {H}{\"o}lder spaces with {D}irichlet boundary conditions in the half-space},
journal = {Math. Ann.},
fjournal = {Mathematische Annalen},
volume = {391},
year = {2025},
number = {4},
pages = {5911--5940},
url = {https://arxiv.org/abs/2408.05077},
doi = {https://doi.org/10.1007/s00208-024-03065-7}
}
@article{julius-steady-ext,
author = {Je{\ss}berger, J. and R{\r{u}}\v{z}i\v{c}ka, M.},
title = {Weak solutions for steady, fully inhomogeneous generalized
{N}avier-{S}tokes equations},
journal = {Nonlinear Anal.},
fjournal = {Nonlinear Analysis. Theory, Methods \& Applications. An
International Multidisciplinary Journal},
volume = {253},
year = {2025},
pages = {Paper No. 113715, 12},
doi = {10.1016/j.na.2024.113715},
url = {http://arxiv.org/abs/2006.11087}
}