## Růžička, Michael

Compute Distance To:
 Author ID: ruzicka.michael Published as: Růžička, Michael; Růžička, M.; Ružička, Michael; Ružička, M.; Ruzicka, Michael; Růžiçka, Michael; Ruzicka, M. more...less Homepage: http://aam.uni-freiburg.de/abtlg/ls/lsru External Links: MGP
 Documents Indexed: 103 Publications since 1986, including 6 Books 2 Contributions as Editor · 1 Further Contribution Co-Authors: 44 Co-Authors with 92 Joint Publications 898 Co-Co-Authors
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### Co-Authors

 13 single-authored 20 Diening, Lars 12 Berselli, Luigi Carlo 12 Frehse, Jens 9 Málek, Josef 7 Nečas, Jindřich 7 Thäter, Gudrun 4 Ettwein, Frank 4 Novotný, Antonín 4 Rajagopal, Kumbakonam Ramamani 3 Beirão da Veiga, Hugo 3 Kagei, Yoshiyuki 3 Kaltenbach, Alex 3 Křepela, Martin 3 Lengeler, Daniel 3 Nägele, Philipp 3 Prohl, Andreas 3 Shelukhin, Vladimir 3 Toulopoulos, Ioannis 2 Bäumle, Erik 2 Constantin, Peter 2 Eberlein, Hannes 2 Eckstein, Sarah 2 Kaplický, Petr 2 Kröner, Dietmar 2 Passerini, Arianna 2 Rokyta, Mirko 2 Šverák, Vladimír 1 Bartels, Sören 1 Belenki, Liudmila 1 Buckmaster, Tristan 1 Čanić, Sunčica 1 Crispo, Francesca 1 Debussche, Arnaud 1 Ebmeyer, Carsten 1 Feireisl, Eduard 1 Ferrario, Carlo 1 Flandoli, Franco 1 Galdi, Giovanni Paolo 1 Harjulehto, Petteri 1 Hästö, Peter A. 1 Jeßberger, Julius 1 Kiselev, Alexander A. 1 Malkmus, T. 1 Maremonti, Paolo 1 Molitor, E. 1 Padula, Mariarosaria 1 Pick, Luboš 1 Santos, Marcelo M. 1 Schumacher, Katrin 1 Seregin, Gregory A. 1 Srinivasa, Arun R. 1 Wolf, Jörg
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### Serials

 7 SIAM Journal on Numerical Analysis 6 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 IMA Journal of Numerical Analysis 4 Journal of Mathematical Fluid Mechanics 4 Lecture Notes in Mathematics 3 Journal of Mathematical Analysis and Applications 3 Complex Variables and Elliptic Equations 2 Archive for Rational Mechanics and Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Acta Applicandae Mathematicae 2 Applications of Mathematics 2 Continuum Mechanics and Thermodynamics 2 Calculus of Variations and Partial Differential Equations 2 Journal of Mathematical Sciences (New York) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Discrete and Continuous Dynamical Systems. Series S 1 Archives of Mechanics 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Acta Mathematica 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Commentationes Mathematicae Universitatis Carolinae 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Mechanics Research Communications 1 Numerische Mathematik 1 Ricerche di Matematica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Asymptotic Analysis 1 Differential and Integral Equations 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Opuscula Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Journal of Evolution Equations 1 International Journal of Applied Mechanics and Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Applied Mathematics and Mathematical Computation 1 Bonner Mathematische Schriften 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 Masterclass 1 SN Partial Differential Equations and Applications
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### Fields

 86 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 18 Numerical analysis (65-XX) 15 Functional analysis (46-XX) 13 Operator theory (47-XX) 9 Mechanics of deformable solids (74-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Optics, electromagnetic theory (78-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 3,924 times in 2,445 Documents Cited by Year
Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002
Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael
2011
Electrorheological fluids: Modeling and mathematical theory. Zbl 0968.76531
Růžička, M.
2000
Electrorheological fluids: modeling and mathematical theory. Zbl 0962.76001
Růžička, Michael
2000
Weak and measure-valued solutions to evolutionary PDEs. Zbl 0851.35002
Nečas, J.; Málek, J.; Rokyta, M.; Růžička, M.
1996
Mathematical modeling of electrorheological materials. Zbl 0971.76100
Rajagopal, K. R.; Růžička, M.
2001
Calderón-Zygmund operators on generalized Lebesgue spaces $$L^p(\cdot)$$ and problems related to fluid dynamics. Zbl 1072.76071
Diening, L.; Růžička, M.
2003
On Leray’s self-similar solutions of the Navier-Stokes equations. Zbl 0884.35115
Nečas, J.; Růžička, M.; Šverák, V.
1996
Existence of weak solutions for unsteady motions of generalized Newtonian fluids. Zbl 1253.76017
Diening, Lars; Růžička, Michael; Wolf, Jörg
2010
A decomposition technique for John domains. Zbl 1194.26022
Diening, Lars; Růžička, Michael; Schumacher, Katrin
2010
On the modeling of electrorheological materials. Zbl 0890.76007
Rajagopal, K. R.; Růžička, M.
1996
On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case $$p\geq 2$$. Zbl 1021.35085
Málek, J.; Nečas, J.; Růžička, M.
2001
Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005
Málek, J.; Rajagopal, K. R.; Růžička, M.
1995
An example of a space of $$L^{p(x)}$$ on which the Hardy-Littlewood maximal operator is not bounded. Zbl 1003.42013
Pick, Luboš; Růžička, Michael
2001
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
1996
On the non-Newtonian incompressible fluids. Zbl 0787.35067
Málek, Josef; Nečas, Jindřich; Růžička, Michael
1993
Strong solutions for generalized Newtonian fluids. Zbl 1080.76005
Diening, Lars; Ružička, Michael
2005
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
2010
Flow of shear dependent electrorheological fluids. Zbl 0954.76097
Růžička, Michael
1999
Modeling, mathematical and numerical analysis of electrorheological fluids. Zbl 1099.35103
Růžička, Michael
2004
Boundary regularity of shear thickening flows. Zbl 1270.35360
Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael
2011
Interpolation operators in Orlicz–Sobolev spaces. Zbl 1131.46023
Diening, L.; Růžička, M.
2007
Monotone operator theory for unsteady problems in variable exponent spaces. Zbl 1283.47070
Diening, L.; Nägele, P.; Růžička, M.
2012
Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell. Zbl 1293.35211
Lengeler, Daniel; Růžička, Michael
2014
Non-Newtonian fluids and function spaces. Zbl 1289.35104
Růžička, Michael; Diening, Lars
2007
Optimal convergence for the implicit space-time discretization of parabolic systems with $$p$$-structure. Zbl 1140.65060
Diening, Lars; Ebmeyer, Carsten; Růžička, Michael
2007
A note on steady flow of fluids with shear dependent viscosity. Zbl 0906.35076
Růžička, Michael
1997
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
2012
Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008
Málek, J.; Růžička, M.; Shelukhin, V. V.
2005
$$C^{1,\alpha}$$-regularity for electrorheological fluids in two dimensions. Zbl 1132.76301
Diening, L.; Ettwein, F.; Růžička, M.
2007
Existence of local strong solutions for motions of electrorheological fluids in three dimensions. Zbl 1122.76092
Ettwein, F.; Růžička, M.
2007
The Stokes and Poisson problem in variable exponent spaces. Zbl 1241.35157
Diening, L.; Lengeler, D.; Růžička, M.
2011
Natural convection with dissipative heating. Zbl 0986.76083
Kagei, Y.; Růžička, M.; Thäter, G.
2000
Nonlinear functional analysis. An introduction. (Nichtlineare Funktionalanalysis. Eine Einführung.) Zbl 1043.46002
Růžička, Michael
2004
Semi-implicit Euler scheme for generalized Newtonian fluids. Zbl 1388.76014
Diening, Lars; Prohl, Andreas; Růžička, Michael
2006
Flow of shear dependent electrorheological fluids: Unsteady space periodic case. Zbl 0954.35138
Růžička, Michael
1999
Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348
Frehse, Jens; Málek, Josef; Růžička, Michael
2010
Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Existence of regular solutions to the stationary Navier-Stokes equations. Zbl 0861.35074
Frehse, Jens; Růžička, Michael
1995
Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains. Zbl 0884.35120
Frehse, Jens; Růžiçka, Michael
1996
On the regularity of the stationary Navier-Stokes equations. Zbl 0823.35141
Frehse, Jens; Růžička, Michael
1994
Non-homogeneous generalized Newtonian fluids. Zbl 1143.76007
Frehse, Jens; Růžička, Michael
2008
Integral operators on the halfspace in generalized Lebesgue spaces $$L^{p(\cdot)}$$. I, II. Zbl 1128.47044
Diening, L.; Růžička, M.
2004
Regularity for the stationary Navier-Stokes equations in bounded domains. Zbl 0832.35108
Frehse, Jens; Růžička, Michael
1994
Fractal dimension, attractors, and the Boussinesq approximation in three dimensions. Zbl 0815.35084
Málek, Josef; Růžička, Michael; Thäter, Gudrun
1994
On fully implicit space-time discretization for motions of incompressible fluids with shear-dependent viscosities: The case $$p \leq 2$$. Zbl 1008.76047
Prohl, Andreas; Ruzicka, Michael
2001
Analysis of generalized Newtonian fluids. Zbl 1301.35112
Růžička, Michael
2013
On Cosserat-Bingham fluids. Zbl 1372.76009
Shelukhin, V. V.; Růžička, M.
2013
A local discontinuous Galerkin approximation for systems with $$p$$-structure. Zbl 1305.65227
Diening, Lars; Kröner, Dietmar; Růžička, Michael; Toulopoulos, Ioannis
2014
Theoretical results on steady convective flows between horizontal coaxial cylinders. Zbl 1432.76099
Passerini, A.; Ferrario, C.; Růžička, M.; Thäter, G.
2011
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
2017
Functional setting for unsteady problems in moving domains and applications. Zbl 1372.35171
Nägele, P.; Růžička, M.; Lengeler, D.
2017
Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056
Berselli, Luigi C.; Diening, Lars; Růžička, Michael
2015
Modeling micropolar electrorheological fluids. Zbl 1196.76015
Eckart, W.; Růžička, M.
2006
Regularity theorems, up to the boundary, for shear thickening flows. Zbl 1352.35085
Beirão da Veiga, Hugo; Kaplický, Petr; Růžička, Michael
2010
An existence result for non-Newtonian fluids in non-regular domains. Zbl 1193.35150
Diening, Lars; Růžička, Michael
2010
Global regularity for systems with $$p$$-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
2020
Existence of strong solutions for electrorheological fluids in two dimensions: Steady Dirichlet problem. Zbl 1039.35084
Ettwein, Frank; Růžička, Michael
2003
Natural convection between two horizontal coaxial cylinders. Zbl 1162.76053
Passerini, Arianna; Růžička, Michael; Thäter, Gudrun
2009
Existence of steady solutions for micropolar electrorheological fluid flows. Zbl 1329.35248
Ettwein, F.; Ružička, M.; Weber, B.
2015
Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by $$p$$-Navier-Stokes equations. Zbl 1349.76228
Kröner, Dietmar; Ružička, Michael; Toulopoulos, Ioannis
2014
Regular solutions to the steady Navier-Stokes equations. Zbl 0843.35072
Frehse, Jens; Růžička, Michael
1995
Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006
Berselli, Luigi C.; Diening, Lars; Růžička, Michael
2009
On time discretizations for generalized Newtonian fluids. Zbl 1037.76002
Diening, Lars; Prohl, Andreas; Růžička, Michael
2002
Global solution to the incompressible viscous-multipolar material problem. Zbl 0765.73006
Nečas, Jindřich; Růžička, Michael
1992
A new regularity criterion for steady Navier-Stokes equations. Zbl 1008.35048
Frehse, Jens; Růžička, Michael
1998
Regularity for steady solutions of the Navier-Stokes equations. Zbl 0934.35118
Růžička, Michael; Frehse, Jens
1998
The Oberbeck-Boussinesq approximation as a constitutive limit. Zbl 1355.76055
Kagei, Yoshiyuki; Růžička, Michael
2016
On the full space-time discretization of the generalized Stokes equations: the Dirichlet case. Zbl 1433.65184
Eckstein, Sarah; Ružička, Michael
2018
Existence of weak solutions for unsteady motions of micropolar electrorheological fluids. Zbl 1457.35033
Bäumle, Erik; Ružička, M.
2017
Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Existence of weak solutions for unsteady motions of Herschel-Bulkley fluids. Zbl 1253.35097
Eberlein, Hannes; Růžička, Michael
2012
Note on the existence theory for evolution equations with pseudo-monotone operators. Zbl 06804795
Bäumle, E.; Růžička, M.
2017
Steady flows of Cosserat-Bingham fluids. Zbl 1365.35126
Růžička, Michael; Shelukhin, Vladimir; dos Santos, Marcelo Martins
2017
Multipolar materials. Zbl 0847.73002
Růžička, Michael
1993
A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cube. Zbl 0842.35077
Málek, J.; Padula, M.; Růžička, M.
1995
On a remark of J. Leray regarding the construction of singular solutions of the Navier-Stokes equations. (Sur une remarque de J. Leray concernant la construction de solutions singulières des équations de Navier-Stokes.) Zbl 0859.35091
Nečas, Jindřich; Růžička, Michael; Šverák, Vladimir
1996
Weighted estimates for the stationary Navier-Stokes equations. Zbl 0880.76015
Frehse, Jens; Růžička, Michael
1996
Weighted estimates for stationary Navier-Stokes equations. Zbl 0814.35094
Frehse, Jens; Růžička, Michael
1994
On inhomogeneous $$p$$-Navier-Stokes systems. Zbl 1348.76018
Molitor, E.; Růžička, M.
2016
Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068
Bartels, Sören; Růžička, Michael
2020
Mathematical and physical theory of multipolar viscoelasticity. Zbl 0821.73024
Růžička, Michael
1992
A limit problem in natural convection. Zbl 1147.35326
Kagei, Yoshiyuki; Růžička, Michael; Thäter, Gudrun
2006
Space-time discretization for nonlinear parabolic systems with $$p$$-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
2022
A counterexample related to the regularity of the $$p$$-Stokes problem. Zbl 1458.35337
Křepela, M.; Ružička, M.
2018
Note on the existence theory for pseudo-monotone evolution problems. Zbl 07340071
Kaltenbach, A.; Růžička, M.
2021
Space-time discretization for nonlinear parabolic systems with $$p$$-structure. Zbl 07465498
Berselli, Luigi C.; Růžička, Michael
2022
Note on the existence theory for pseudo-monotone evolution problems. Zbl 07340071
Kaltenbach, A.; Růžička, M.
2021
Global regularity for systems with $$p$$-structure depending on the symmetric gradient. Zbl 1417.76004
Berselli, Luigi C.; Ružička, Michael
2020
Convergence of fully discrete implicit and semi-implicit approximations of singular parabolic equations. Zbl 1447.65068
Bartels, Sören; Růžička, Michael
2020
On the full space-time discretization of the generalized Stokes equations: the Dirichlet case. Zbl 1433.65184
Eckstein, Sarah; Ružička, Michael
2018
A counterexample related to the regularity of the $$p$$-Stokes problem. Zbl 1458.35337
Křepela, M.; Ružička, M.
2018
Global regularity properties of steady shear thinning flows. Zbl 1378.35236
Berselli, Luigi C.; Růžička, Michael
2017
Functional setting for unsteady problems in moving domains and applications. Zbl 1372.35171
Nägele, P.; Růžička, M.; Lengeler, D.
2017
Existence of weak solutions for unsteady motions of micropolar electrorheological fluids. Zbl 1457.35033
Bäumle, Erik; Ružička, M.
2017
Note on the existence theory for evolution equations with pseudo-monotone operators. Zbl 06804795
Bäumle, E.; Růžička, M.
2017
Steady flows of Cosserat-Bingham fluids. Zbl 1365.35126
Růžička, Michael; Shelukhin, Vladimir; dos Santos, Marcelo Martins
2017
The Oberbeck-Boussinesq approximation as a constitutive limit. Zbl 1355.76055
Kagei, Yoshiyuki; Růžička, Michael
2016
On inhomogeneous $$p$$-Navier-Stokes systems. Zbl 1348.76018
Molitor, E.; Růžička, M.
2016
Optimal error estimate for semi-implicit space-time discretization for the equations describing incompressible generalized Newtonian fluids. Zbl 1326.76056
Berselli, Luigi C.; Diening, Lars; Růžička, Michael
2015
Existence of steady solutions for micropolar electrorheological fluid flows. Zbl 1329.35248
Ettwein, F.; Ružička, M.; Weber, B.
2015
Weak solutions for an incompressible Newtonian fluid interacting with a Koiter type shell. Zbl 1293.35211
Lengeler, Daniel; Růžička, Michael
2014
A local discontinuous Galerkin approximation for systems with $$p$$-structure. Zbl 1305.65227
Diening, Lars; Kröner, Dietmar; Růžička, Michael; Toulopoulos, Ioannis
2014
Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by $$p$$-Navier-Stokes equations. Zbl 1349.76228
Kröner, Dietmar; Ružička, Michael; Toulopoulos, Ioannis
2014
Analysis of generalized Newtonian fluids. Zbl 1301.35112
Růžička, Michael
2013
On Cosserat-Bingham fluids. Zbl 1372.76009
Shelukhin, V. V.; Růžička, M.
2013
Monotone operator theory for unsteady problems in variable exponent spaces. Zbl 1283.47070
Diening, L.; Nägele, P.; Růžička, M.
2012
On the finite element approximation of p-Stokes systems. Zbl 1426.76221
Belenki, L.; Berselli, L. C.; Diening, L.; Růžička, M.
2012
Existence of weak solutions for unsteady motions of Herschel-Bulkley fluids. Zbl 1253.35097
Eberlein, Hannes; Růžička, Michael
2012
Lebesgue and Sobolev spaces with variable exponents. Zbl 1222.46002
Diening, Lars; Harjulehto, Petteri; Hästö, Peter; Růžička, Michael
2011
Boundary regularity of shear thickening flows. Zbl 1270.35360
Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael
2011
The Stokes and Poisson problem in variable exponent spaces. Zbl 1241.35157
Diening, L.; Lengeler, D.; Růžička, M.
2011
Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Theoretical results on steady convective flows between horizontal coaxial cylinders. Zbl 1432.76099
Passerini, A.; Ferrario, C.; Růžička, M.; Thäter, G.
2011
Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Existence of weak solutions for unsteady motions of generalized Newtonian fluids. Zbl 1253.76017
Diening, Lars; Růžička, Michael; Wolf, Jörg
2010
A decomposition technique for John domains. Zbl 1194.26022
Diening, Lars; Růžička, Michael; Schumacher, Katrin
2010
Existence of strong solutions for incompressible fluids with shear-dependent viscosities. Zbl 1261.35118
Berselli, Luigi C.; Diening, Lars; Ružička, Michael
2010
Large data existence result for unsteady flows of inhomogeneous shear-thickening heat-conducting incompressible fluids. Zbl 1213.35348
Frehse, Jens; Málek, Josef; Růžička, Michael
2010
Regularity theorems, up to the boundary, for shear thickening flows. Zbl 1352.35085
Beirão da Veiga, Hugo; Kaplický, Petr; Růžička, Michael
2010
An existence result for non-Newtonian fluids in non-regular domains. Zbl 1193.35150
Diening, Lars; Růžička, Michael
2010
Natural convection between two horizontal coaxial cylinders. Zbl 1162.76053
Passerini, Arianna; Růžička, Michael; Thäter, Gudrun
2009
Optimal error estimates for a semi-implicit Euler scheme for incompressible fluids with shear dependent viscosities. Zbl 1406.76006
Berselli, Luigi C.; Diening, Lars; Růžička, Michael
2009
Non-homogeneous generalized Newtonian fluids. Zbl 1143.76007
Frehse, Jens; Růžička, Michael
2008
Interpolation operators in Orlicz–Sobolev spaces. Zbl 1131.46023
Diening, L.; Růžička, M.
2007
Non-Newtonian fluids and function spaces. Zbl 1289.35104
Růžička, Michael; Diening, Lars
2007
Optimal convergence for the implicit space-time discretization of parabolic systems with $$p$$-structure. Zbl 1140.65060
Diening, Lars; Ebmeyer, Carsten; Růžička, Michael
2007
$$C^{1,\alpha}$$-regularity for electrorheological fluids in two dimensions. Zbl 1132.76301
Diening, L.; Ettwein, F.; Růžička, M.
2007
Existence of local strong solutions for motions of electrorheological fluids in three dimensions. Zbl 1122.76092
Ettwein, F.; Růžička, M.
2007
Semi-implicit Euler scheme for generalized Newtonian fluids. Zbl 1388.76014
Diening, Lars; Prohl, Andreas; Růžička, Michael
2006
Modeling micropolar electrorheological fluids. Zbl 1196.76015
Eckart, W.; Růžička, M.
2006
A limit problem in natural convection. Zbl 1147.35326
Kagei, Yoshiyuki; Růžička, Michael; Thäter, Gudrun
2006
Strong solutions for generalized Newtonian fluids. Zbl 1080.76005
Diening, Lars; Ružička, Michael
2005
Herschel-Bulkley fluids: existence and regularity of steady flows. Zbl 1098.76008
Málek, J.; Růžička, M.; Shelukhin, V. V.
2005
Modeling, mathematical and numerical analysis of electrorheological fluids. Zbl 1099.35103
Růžička, Michael
2004
Nonlinear functional analysis. An introduction. (Nichtlineare Funktionalanalysis. Eine Einführung.) Zbl 1043.46002
Růžička, Michael
2004
Integral operators on the halfspace in generalized Lebesgue spaces $$L^{p(\cdot)}$$. I, II. Zbl 1128.47044
Diening, L.; Růžička, M.
2004
Calderón-Zygmund operators on generalized Lebesgue spaces $$L^p(\cdot)$$ and problems related to fluid dynamics. Zbl 1072.76071
Diening, L.; Růžička, M.
2003
Existence of strong solutions for electrorheological fluids in two dimensions: Steady Dirichlet problem. Zbl 1039.35084
Ettwein, Frank; Růžička, Michael
2003
On time discretizations for generalized Newtonian fluids. Zbl 1037.76002
Diening, Lars; Prohl, Andreas; Růžička, Michael
2002
Mathematical modeling of electrorheological materials. Zbl 0971.76100
Rajagopal, K. R.; Růžička, M.
2001
On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case $$p\geq 2$$. Zbl 1021.35085
Málek, J.; Nečas, J.; Růžička, M.
2001
An example of a space of $$L^{p(x)}$$ on which the Hardy-Littlewood maximal operator is not bounded. Zbl 1003.42013
Pick, Luboš; Růžička, Michael
2001
On fully implicit space-time discretization for motions of incompressible fluids with shear-dependent viscosities: The case $$p \leq 2$$. Zbl 1008.76047
Prohl, Andreas; Ruzicka, Michael
2001
Electrorheological fluids: Modeling and mathematical theory. Zbl 0968.76531
Růžička, M.
2000
Electrorheological fluids: modeling and mathematical theory. Zbl 0962.76001
Růžička, Michael
2000
Natural convection with dissipative heating. Zbl 0986.76083
Kagei, Y.; Růžička, M.; Thäter, G.
2000
Flow of shear dependent electrorheological fluids. Zbl 0954.76097
Růžička, Michael
1999
Flow of shear dependent electrorheological fluids: Unsteady space periodic case. Zbl 0954.35138
Růžička, Michael
1999
A new regularity criterion for steady Navier-Stokes equations. Zbl 1008.35048
Frehse, Jens; Růžička, Michael
1998
Regularity for steady solutions of the Navier-Stokes equations. Zbl 0934.35118
Růžička, Michael; Frehse, Jens
1998
A note on steady flow of fluids with shear dependent viscosity. Zbl 0906.35076
Růžička, Michael
1997
Weak and measure-valued solutions to evolutionary PDEs. Zbl 0851.35002
Nečas, J.; Málek, J.; Rokyta, M.; Růžička, M.
1996
On Leray’s self-similar solutions of the Navier-Stokes equations. Zbl 0884.35115
Nečas, J.; Růžička, M.; Šverák, V.
1996
On the modeling of electrorheological materials. Zbl 0890.76007
Rajagopal, K. R.; Růžička, M.
1996
On the Oberbeck-Boussinesq approximation. Zbl 0883.76078
Rajagopal, K. R.; Ruzicka, M.; Srinivasa, A. R.
1996
Existence of regular solutions to the steady Navier-Stokes equations in bounded six-dimensional domains. Zbl 0884.35120
Frehse, Jens; Růžiçka, Michael
1996
On a remark of J. Leray regarding the construction of singular solutions of the Navier-Stokes equations. (Sur une remarque de J. Leray concernant la construction de solutions singulières des équations de Navier-Stokes.) Zbl 0859.35091
Nečas, Jindřich; Růžička, Michael; Šverák, Vladimir
1996
Weighted estimates for the stationary Navier-Stokes equations. Zbl 0880.76015
Frehse, Jens; Růžička, Michael
1996
Existence and regularity of solutions and the stability of the rest state for fluids with shear dependent viscosity. Zbl 0838.76005
Málek, J.; Rajagopal, K. R.; Růžička, M.
1995
Existence of regular solutions to the stationary Navier-Stokes equations. Zbl 0861.35074
Frehse, Jens; Růžička, Michael
1995
Regular solutions to the steady Navier-Stokes equations. Zbl 0843.35072
Frehse, Jens; Růžička, Michael
1995
A note on derivative estimates for a Hopf solution to the Navier-Stokes system in a three-dimensional cube. Zbl 0842.35077
Málek, J.; Padula, M.; Růžička, M.
1995
On the regularity of the stationary Navier-Stokes equations. Zbl 0823.35141
Frehse, Jens; Růžička, Michael
1994
Regularity for the stationary Navier-Stokes equations in bounded domains. Zbl 0832.35108
Frehse, Jens; Růžička, Michael
1994
Fractal dimension, attractors, and the Boussinesq approximation in three dimensions. Zbl 0815.35084
Málek, Josef; Růžička, Michael; Thäter, Gudrun
1994
Weighted estimates for stationary Navier-Stokes equations. Zbl 0814.35094
Frehse, Jens; Růžička, Michael
1994
On the non-Newtonian incompressible fluids. Zbl 0787.35067
Málek, Josef; Nečas, Jindřich; Růžička, Michael
1993
Multipolar materials. Zbl 0847.73002
Růžička, Michael
1993
Global solution to the incompressible viscous-multipolar material problem. Zbl 0765.73006
Nečas, Jindřich; Růžička, Michael
1992
Mathematical and physical theory of multipolar viscoelasticity. Zbl 0821.73024
Růžička, Michael
1992
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### Cited by 2,115 Authors

 45 Rădulescu, Vicenţiu D. 44 Růžička, Michael 33 Shimomura, Tetsu 31 Zhang, Qihu 30 Byun, Sun-Sig 29 Hästö, Peter A. 29 Zhan, Huashui 28 Diening, Lars 28 Málek, Josef 27 Antontsev, Stanislav Nikolaevich 27 Samko, Stefan Grigorievich 26 Bulíček, Miroslav 26 Xu, Jingshi 25 Rafeiro, Humberto 24 Yang, Dachun 23 Ok, Jihoon 22 Fu, Yongqiang 22 Mizuta, Yoshihiro 21 Harjulehto, Petteri 21 Ohno, Takao 20 Fan, Xianling 19 Azroul, Elhoussine 19 Ho, Kwok-Pun 18 Ouaro, Stanislas 18 Schwarzacher, Sebastian 17 Breit, Dominic 17 Kim, Yunho 17 Mihăilescu, Mihai 17 Repovš, Dušan D. 16 Papageorgiou, Nikolaos S. 16 Simsen, Jacson 15 Dai, Guowei 15 Fiorenza, Alberto 15 Ge, Bin 15 Nečasová, Šárka 14 Chae, Dongho 14 Cruz-Uribe, David Vincente 14 Gao, Wenjie 14 Górka, Przemysław 14 Kaplický, Petr 14 Kokilashvili, Vakhtang Mikhailovich 14 Rajagopal, Kumbakonam Ramamani 14 Zhang, Chao 13 Afrouzi, Ghasem Alizadeh 13 Alves, Claudianor Oliveira 13 Berselli, Luigi Carlo 13 Gwiazda, Piotr 13 Zhang, Binlin 12 Avci, Mustafa 12 Bandaliev, Rovshan Alifaga ogly 12 Beirão da Veiga, Hugo 12 Galewski, Marek 12 Kang, Kyungkeun 12 Meskhi, Alexander 12 Yuan, Wen 12 Zhao, Caidi 11 Ayazoglu (Mashiyev), Rabil A. 11 Benkirane, Abdelmoujib 11 Borges de Oliveira, Hermenegildo 11 Guliyev, Vagif Sabir 11 Messaoudi, Salim A. 11 Mingione, Giuseppe 11 Nguyen Thanh Chung 11 Passerini, Arianna 11 Pastukhova, Svetlana Evgenievna 11 Sawano, Yoshihiro 11 Surnachëv, Mikhaĭl Dmitrievich 11 Tan, Jian 11 Tsouli, Najib 11 Zheng, Shenzhou 10 Bakery, Awad A. 10 Heidarkhani, Shapour 10 Kopaliani, Tengiz 10 Liu, Bingchen 10 Simsen, Mariza Stefanello 10 Yuan, Hongjun 10 Zhuo, Ciqiang 9 Abbatiello, Anna 9 Adamowicz, Tomasz 9 Almeida, Alexandre 9 Bae, Hyeong-Ohk 9 Boureanu, Maria-Magdalena 9 Crispo, Francesca 9 Feireisl, Eduard 9 Ho, Ky 9 Kefi, Khaled 9 Kim, Jaemyoung 9 Rhoudaf, Mohamed 9 Shmarev, Sergey I. 9 Sin, Cholmin 9 Tan, Zhong 9 Weisz, Ferenc 9 Wittbold, Petra 9 Zhang, Xia 9 Zhikov, Vasiliĭ Vasil’evich 8 Alkhutov, Yuriy Alexandrovich 8 Aouaoui, Sami 8 Čanić, Sunčica 8 Cianchi, Andrea 8 Consiglieri, Luisa ...and 2,015 more Authors
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### Cited in 378 Serials

 206 Journal of Mathematical Analysis and Applications 167 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 71 Journal of Differential Equations 52 Nonlinear Analysis. Real World Applications 51 Complex Variables and Elliptic Equations 45 Journal of Mathematical Fluid Mechanics 44 Computers & Mathematics with Applications 44 Journal of Function Spaces 42 Boundary Value Problems 36 Applicable Analysis 35 Journal of Functional Analysis 34 Mediterranean Journal of Mathematics 32 ZAMP. Zeitschrift für angewandte Mathematik und Physik 30 Mathematical Methods in the Applied Sciences 29 Calculus of Variations and Partial Differential Equations 27 Journal of Inequalities and Applications 26 Journal of Mathematical Sciences (New York) 24 Applied Mathematics and Computation 23 Journal of Mathematical Physics 23 NoDEA. Nonlinear Differential Equations and Applications 22 Abstract and Applied Analysis 22 Journal of Elliptic and Parabolic Equations 21 Annali di Matematica Pura ed Applicata. Serie Quarta 21 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 20 Archive for Rational Mechanics and Analysis 20 SIAM Journal on Mathematical Analysis 19 Mathematische Nachrichten 18 Communications on Pure and Applied Analysis 18 Advances in Nonlinear Analysis 17 Discrete and Continuous Dynamical Systems 16 Acta Applicandae Mathematicae 16 Georgian Mathematical Journal 16 Revista Matemática Complutense 14 Manuscripta Mathematica 14 Transactions of the American Mathematical Society 14 Discrete and Continuous Dynamical Systems. Series S 14 Analysis and Mathematical Physics 13 International Journal of Engineering Science 13 Applied Mathematics Letters 12 Communications in Mathematical Physics 12 Proceedings of the American Mathematical Society 12 Acta Mathematica Scientia. Series B. (English Edition) 12 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Rendiconti del Circolo Matemàtico di Palermo. Serie II 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Mathematical Notes 10 Ukrainian Mathematical Journal 10 Numerische Mathematik 10 The Journal of Geometric Analysis 10 Communications in Contemporary Mathematics 10 Banach Journal of Mathematical Analysis 10 Open Mathematics 9 Integral Equations and Operator Theory 9 Potential Analysis 9 Integral Transforms and Special Functions 9 Acta Mathematica Sinica. English Series 9 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 9 Science China. Mathematics 8 Czechoslovak Mathematical Journal 8 Ricerche di Matematica 8 SIAM Journal on Numerical Analysis 8 Chinese Annals of Mathematics. Series B 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 St. Petersburg Mathematical Journal 8 Opuscula Mathematica 8 Journal of Function Spaces and Applications 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Advances in Operator Theory 7 Computer Methods in Applied Mechanics and Engineering 7 Mathematics of Computation 7 Applied Mathematics and Optimization 7 Journal of Computational and Applied Mathematics 7 Mathematische Annalen 7 Mathematische Zeitschrift 7 Results in Mathematics 7 Zeitschrift für Analysis und ihre Anwendungen 7 Asymptotic Analysis 7 Applications of Mathematics 7 Electronic Journal of Differential Equations (EJDE) 7 Bulletin des Sciences Mathématiques 7 The Journal of Fourier Analysis and Applications 7 Annales Academiae Scientiarum Fennicae. Mathematica 7 Taiwanese Journal of Mathematics 7 Journal of Applied Mechanics and Technical Physics 7 Advances in Mathematical Physics 7 Journal of Pseudo-Differential Operators and Applications 7 Afrika Matematika 6 Bulletin of the Australian Mathematical Society 6 Nonlinearity 6 Advances in Mathematics 6 Collectanea Mathematica 6 Monatshefte für Mathematik 6 Numerical Functional Analysis and Optimization 6 Acta Mathematica Hungarica 6 Forum Mathematicum 6 Communications in Partial Differential Equations 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Fractional Calculus & Applied Analysis 6 Journal of Evolution Equations ...and 278 more Serials
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### Cited in 43 Fields

 1,680 Partial differential equations (35-XX) 627 Fluid mechanics (76-XX) 571 Functional analysis (46-XX) 333 Harmonic analysis on Euclidean spaces (42-XX) 199 Operator theory (47-XX) 139 Calculus of variations and optimal control; optimization (49-XX) 120 Numerical analysis (65-XX) 93 Mechanics of deformable solids (74-XX) 73 Global analysis, analysis on manifolds (58-XX) 70 Real functions (26-XX) 54 Ordinary differential equations (34-XX) 45 Functions of a complex variable (30-XX) 45 Probability theory and stochastic processes (60-XX) 43 Classical thermodynamics, heat transfer (80-XX) 34 Potential theory (31-XX) 32 Approximations and expansions (41-XX) 31 Dynamical systems and ergodic theory (37-XX) 24 Biology and other natural sciences (92-XX) 17 Difference and functional equations (39-XX) 17 Integral equations (45-XX) 12 Geophysics (86-XX) 11 Measure and integration (28-XX) 11 Optics, electromagnetic theory (78-XX) 8 Differential geometry (53-XX) 8 General topology (54-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Abstract harmonic analysis (43-XX) 5 Mechanics of particles and systems (70-XX) 5 Systems theory; control (93-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Integral transforms, operational calculus (44-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 Sequences, series, summability (40-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)