Edit Profile (opens in new tab) Kaplický, Petr Co-Author Distance Author ID: kaplicky.petr Published as: Kaplický, Petr; Kaplický, P.; Kaplicky, P. more...less External Links: ORCID Documents Indexed: 35 Publications since 1997 3 Contributions as Editor Co-Authors: 26 Co-Authors with 31 Joint Publications 538 Co-Co-Authors all top 5 Co-Authors 6 single-authored 10 Bulíček, Miroslav 6 Málek, Josef 5 Pražák, Dalibor 3 Diening, Lars 3 Schwarzacher, Sebastian 3 Stará, Jana 2 Ackermann, Nils 2 Bartsch, Thomas J. 2 Beirão da Veiga, Hugo 2 Burczak, Jan 2 Cúth, Marek 2 Ettwein, Frank 2 Kalenda, Ondřej F. K. 2 Kalousek, Martin 2 Růžička, Michael 1 Abbatiello, Anna 1 Ali, Hani 1 Byun, Sun-Sig 1 Feireisl, Eduard 1 Mácha, Václav 1 Nečasová, Šárka 1 Oh, Jehan 1 Quittner, Pavol 1 Steinhauer, Mark 1 Strará, J. 1 Tichý, Jakub all top 5 Serials 3 Journal of Mathematical Fluid Mechanics 3 Jindřich Nečas Center for Mathematical Modeling Lecture Notes 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Discrete and Continuous Dynamical Systems 2 Communications on Pure and Applied Analysis 1 Applicable Analysis 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Commentationes Mathematicae Universitatis Carolinae 1 Manuscripta Mathematica 1 Mathematika 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Calculus of Variations and Partial Differential Equations 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Dynamics of Partial Differential Equations 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 35 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 5 Dynamical systems and ergodic theory (37-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 346 times in 212 Documents Cited by ▼ Year ▼ BMO estimates for the \(p\)-Laplacian. Zbl 1233.35056Diening, L.; Kaplický, P.; Schwarzacher, S. 56 2012 Boundary regularity of shear thickening flows. Zbl 1270.35360Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael 40 2011 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046Kaplický, P.; Málek, J.; Stará, J. 35 1999 \(L^q\) theory for a generalized Stokes system. Zbl 1263.35175Diening, L.; Kaplický, P. 29 2013 Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions. Zbl 1094.35100Kaplický, P. 21 2005 Campanato estimates for the generalized Stokes system. Zbl 1330.35057Diening, L.; Kaplicky, P.; Schwarzacher, S. 17 2014 On uniqueness and time regularity of flows of power-law like non-Newtonian fluids. Zbl 1202.35152Bulíček, Miroslav; Ettwein, Frank; Kaplický, Petr; Pražák, Dalibor 17 2010 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066Kaplický, P.; Málek, J.; Strará, J. 17 2002 A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol 16 2008 Full regularity of weak solutions to a class of nonlinear fluids in two dimensions—stationary, periodic problem. Zbl 0946.76006Kaplický, P.; Málek, J.; Stará, J. 10 1997 Regularity of flow of anisotropic fluid. Zbl 1162.76304Kaplický, Petr 9 2008 Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian. Zbl 1365.35061Burczak, Jan; Kaplický, Petr 8 2017 Evolutionary, symmetric \(p\)-Laplacian. Interior regularity of time derivatives and its consequences. Zbl 1362.35160Burczak, Jan; Kaplický, P. 7 2016 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102Bulíček, Miroslav; Kaplický, Petr; Málek, Josef 7 2011 Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces. Zbl 1402.46007Cúth, Marek; Kalenda, Ondřej F. K.; Kaplický, Petr 7 2017 On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions. Zbl 0953.35120Kaplický, Petr; Málek, Josef; Stará, Jana 7 1999 Boundary regularity of flows under perfect slip boundary conditions. Zbl 1278.35040Kaplický, Petr; Tichý, Jakub 6 2013 Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth. Zbl 1425.35147Bulíček, Miroslav; Kaplický, Petr; Pražák, Dalibor 5 2019 The dimension of the attractor for the 3D flow of a non-Newtonian fluid. Zbl 1200.37074Bulíček, M.; Ettwein, F.; Kaplický, P.; Pražák, Dalibor 5 2009 On global \(L^q\) estimates for systems with \(p\)-growth in rough domains. Zbl 1423.35167Bulíček, Miroslav; Byun, Sun-Sig; Kaplický, Petr; Oh, Jehan; Schwarzacher, Sebastian 5 2019 Regularity theorems, up to the boundary, for shear thickening flows. Zbl 1352.35085Beirão da Veiga, Hugo; Kaplický, Petr; Růžička, Michael 5 2010 Incompressible fluids with shear rate and pressure dependent viscosity: regularity of steady planar flows. Zbl 1153.35314Bulíćek, M.; Kaplický, P. 3 2008 On existence of a classical solution to a generalized Kelvin-Voigt model. Zbl 1277.35087Bulíček, Miroslav; Kaplický, Petr; Steinhauer, Mark 3 2013 An invariant set generated by the domain topology for parabolic semiflows with small diffusion. Zbl 1139.35053Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr 2 2007 Some remarks to regularity of flow of generalized Newtonian fluid. Zbl 1101.76003Kaplický, Petr 2 2005 Differentiability of the solution operator and the dimension of the attractor for certain power–law fluids. Zbl 1105.35013Kaplický, Petr; Pražák, Dalibor 2 2007 Finitely additive measures and complementability of Lipschitz-free spaces. Zbl 1429.46013Cúth, Marek; Kalenda, Ondřej F. K.; Kaplický, Petr 2 2019 Lyapunov exponents and the dimension of the attractor for 2D shear-thinning incompressible flow. Zbl 1151.37060Kaplický, Petr; Pražák, Dalibor 1 2008 Existence and regularity of solutions to the Leray-\(\alpha\) model with Navier slip boundary conditions. Zbl 1358.35106Ali, Hani; Kaplický, Petr 1 2016 On existence of \(C^{1,\alpha}\)-solutions to a class of nonlinear fluid in 2D-stationary, periodic case. Zbl 0937.35146Kaplický, Petr 1 1998 Uniqueness and regularity of flows of non-Newtonian fluids with critical power-law growth. Zbl 1425.35147Bulíček, Miroslav; Kaplický, Petr; Pražák, Dalibor 5 2019 On global \(L^q\) estimates for systems with \(p\)-growth in rough domains. Zbl 1423.35167Bulíček, Miroslav; Byun, Sun-Sig; Kaplický, Petr; Oh, Jehan; Schwarzacher, Sebastian 5 2019 Finitely additive measures and complementability of Lipschitz-free spaces. Zbl 1429.46013Cúth, Marek; Kalenda, Ondřej F. K.; Kaplický, Petr 2 2019 Interior regularity of space derivatives to an evolutionary, symmetric \(\varphi\)-Laplacian. Zbl 1365.35061Burczak, Jan; Kaplický, Petr 8 2017 Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces. Zbl 1402.46007Cúth, Marek; Kalenda, Ondřej F. K.; Kaplický, Petr 7 2017 Evolutionary, symmetric \(p\)-Laplacian. Interior regularity of time derivatives and its consequences. Zbl 1362.35160Burczak, Jan; Kaplický, P. 7 2016 Existence and regularity of solutions to the Leray-\(\alpha\) model with Navier slip boundary conditions. Zbl 1358.35106Ali, Hani; Kaplický, Petr 1 2016 Campanato estimates for the generalized Stokes system. Zbl 1330.35057Diening, L.; Kaplicky, P.; Schwarzacher, S. 17 2014 \(L^q\) theory for a generalized Stokes system. Zbl 1263.35175Diening, L.; Kaplický, P. 29 2013 Boundary regularity of flows under perfect slip boundary conditions. Zbl 1278.35040Kaplický, Petr; Tichý, Jakub 6 2013 On existence of a classical solution to a generalized Kelvin-Voigt model. Zbl 1277.35087Bulíček, Miroslav; Kaplický, Petr; Steinhauer, Mark 3 2013 BMO estimates for the \(p\)-Laplacian. Zbl 1233.35056Diening, L.; Kaplický, P.; Schwarzacher, S. 56 2012 Boundary regularity of shear thickening flows. Zbl 1270.35360Beirão da Veiga, Hugo; Kaplický, Petr; Ružička, Michael 40 2011 An \(L^{2}\)-maximal regularity result for the evolutionary Stokes-Fourier system. Zbl 1209.35102Bulíček, Miroslav; Kaplický, Petr; Málek, Josef 7 2011 On uniqueness and time regularity of flows of power-law like non-Newtonian fluids. Zbl 1202.35152Bulíček, Miroslav; Ettwein, Frank; Kaplický, Petr; Pražák, Dalibor 17 2010 Regularity theorems, up to the boundary, for shear thickening flows. Zbl 1352.35085Beirão da Veiga, Hugo; Kaplický, Petr; Růžička, Michael 5 2010 The dimension of the attractor for the 3D flow of a non-Newtonian fluid. Zbl 1200.37074Bulíček, M.; Ettwein, F.; Kaplický, P.; Pražák, Dalibor 5 2009 A priori bounds, nodal equilibria and connecting orbits in indefinite superlinear parabolic problems. Zbl 1143.37049Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr; Quittner, Pavol 16 2008 Regularity of flow of anisotropic fluid. Zbl 1162.76304Kaplický, Petr 9 2008 Incompressible fluids with shear rate and pressure dependent viscosity: regularity of steady planar flows. Zbl 1153.35314Bulíćek, M.; Kaplický, P. 3 2008 Lyapunov exponents and the dimension of the attractor for 2D shear-thinning incompressible flow. Zbl 1151.37060Kaplický, Petr; Pražák, Dalibor 1 2008 An invariant set generated by the domain topology for parabolic semiflows with small diffusion. Zbl 1139.35053Ackermann, Nils; Bartsch, Thomas; Kaplický, Petr 2 2007 Differentiability of the solution operator and the dimension of the attractor for certain power–law fluids. Zbl 1105.35013Kaplický, Petr; Pražák, Dalibor 2 2007 Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions. Zbl 1094.35100Kaplický, P. 21 2005 Some remarks to regularity of flow of generalized Newtonian fluid. Zbl 1101.76003Kaplický, Petr 2 2005 Global-in-time Hölder continuity of the velocity gradients for fluids with shear-dependent viscosities. Zbl 0991.35066Kaplický, P.; Málek, J.; Strará, J. 17 2002 \(C^{1,\alpha}\)-solutions to a class of nonlinear fluids in two dimensions-stationary Dirichlet problem. Zbl 0978.35046Kaplický, P.; Málek, J.; Stará, J. 35 1999 On global existence of smooth two-dimensional steady flows for a class of non-Newtonian fluids under various boundary conditions. Zbl 0953.35120Kaplický, Petr; Málek, Josef; Stará, Jana 7 1999 On existence of \(C^{1,\alpha}\)-solutions to a class of nonlinear fluid in 2D-stationary, periodic case. Zbl 0937.35146Kaplický, Petr 1 1998 Full regularity of weak solutions to a class of nonlinear fluids in two dimensions—stationary, periodic problem. Zbl 0946.76006Kaplický, P.; Málek, J.; Stará, J. 10 1997 all cited Publications top 5 cited Publications all top 5 Cited by 238 Authors 17 Diening, Lars 16 Bulíček, Miroslav 15 Schwarzacher, Sebastian 14 Kaplický, Petr 11 Růžička, Michael 9 Cianchi, Andrea 8 Breit, Dominic 8 Byun, Sun-Sig 8 Sin, Cholmin 7 Beirão da Veiga, Hugo 7 Burczak, Jan 6 Bae, Hyeong-Ohk 6 Mácha, Václav 6 Málek, Josef 6 Pražák, Dalibor 6 Yao, Fengping 5 Balci, Anna Kh. 5 Berselli, Luigi Carlo 5 Kang, Kyungkeun 5 Scheven, Christoph 5 Zhang, Zhenqiu 4 Isernia, Teresa 4 Jin, Bumja 4 Ma, Lingwei 4 Maz’ya, Vladimir Gilelevich 4 Stroffolini, Bianca 3 Bögelein, Verena 3 Crispo, Francesca 3 Duzaar, Frank 3 Fuchs, Martin 3 Grasselli, Maurizio 3 Kaltenbach, Alex 3 Kuusi, Tuomo 3 Ok, Jihoon 3 Quittner, Pavol 3 Süli, Endre E. 3 Tichý, Jakub 3 Verde, Anna 3 Weimar, Markus 3 Wolf, Jörg 3 Youn, Yeonghun 3 Zhou, Feng 2 Aliaga, Ramón J. 2 Arada, Nadir 2 Bartsch, Thomas J. 2 Cho, Yumi 2 Conti, Sergio 2 Daniilidis, Aris 2 Ettwein, Frank 2 Focardi, Matteo 2 Grisanti, Carlo-Romano 2 Iurlano, Flaviana 2 Kalousek, Martin 2 Leone, Chiara 2 Lindfors, Casimir 2 Mingione, Giuseppe 2 Ostrovska, Sofiya 2 Ostrovskii, Mikhail Iosifovich 2 Passarelli di Napoli, Antonia 2 Patel, Victoria 2 Pernecká, Eva 2 Planas, Gabriela 2 Procházka, Antonín 2 Rădulescu, Vicenţiu D. 2 Rodríguez Seijo, José Manuel 2 Santos, Marcelo M. 2 Scilla, Giovanni 2 Şengül, Yasemin 2 Silvestre, Ana Leonor 2 So, Hyoungsuk 2 Taboada-Vázquez, Raquel 2 Tan, Zhong 2 Wang, Xingchang 2 Xing, Ruixiang 2 Ye, Xia 2 Žabenský, Josef 2 Zadrzyńska, Ewa 2 Zajączkowski, Wojciech M. 2 Zhang, Binlin 2 Zheng, Shenzhou 2 Zhou, Jianfeng 1 Abbatiello, Anna 1 Abels, Helmut 1 Ackermann, Nils 1 Amirat, Youcef Aït 1 Anceschi, Francesca 1 Antil, Harbir 1 Avelin, Benny 1 Bae, Hantaek 1 Baranovskiĭ, Evgeniĭ Sergeevich 1 Baroni, Paolo 1 Bates, Peter W. 1 Beauregard, Matthew A. 1 Beck, Lisa 1 Bildhauer, Michael 1 Biś, Andrzej 1 Bivas, Mira 1 Black, Kelly 1 Blechta, Jan 1 Bosia, Stefano ...and 138 more Authors all top 5 Cited in 76 Serials 24 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 22 Journal of Mathematical Analysis and Applications 13 Journal of Differential Equations 13 Journal of Mathematical Fluid Mechanics 8 Nonlinear Analysis. Real World Applications 6 SIAM Journal on Mathematical Analysis 5 Journal of Functional Analysis 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Communications in Contemporary Mathematics 5 Communications on Pure and Applied Analysis 4 Computers & Mathematics with Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calculus of Variations and Partial Differential Equations 4 NoDEA. Nonlinear Differential Equations and Applications 3 Archive for Rational Mechanics and Analysis 3 Mathematische Annalen 3 SIAM Journal on Numerical Analysis 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Central European Journal of Mathematics 3 Advances in Nonlinear Analysis 2 Communications in Mathematical Physics 2 Czechoslovak Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Nachrichten 2 Numerische Mathematik 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 St. Petersburg Mathematical Journal 1 Computer Methods in Applied Mechanics and Engineering 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Journal of Mathematical Sciences (New York) 1 Advances in Applied Clifford Algebras 1 Random Operators and Stochastic Equations 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Vietnam Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Inequalities & Applications 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Networks and Heterogeneous Media 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Cited in 25 Fields 192 Partial differential equations (35-XX) 97 Fluid mechanics (76-XX) 19 Functional analysis (46-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Mechanics of deformable solids (74-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Measure and integration (28-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year