Edit Profile (opens in new tab) Novotný, Antonín Co-Author Distance Author ID: novotny.antonin Published as: Novotný, Antonín; Novotný, A.; Novotny, Antonin; Novotný, Antonin; Novotny, A.; Novotný, Antoní more...less Documents Indexed: 140 Publications since 1989, including 4 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 58 Co-Authors with 130 Joint Publications 1,632 Co-Co-Authors all top 5 Co-Authors 9 single-authored 58 Feireisl, Eduard 16 Pokorný, Milan 12 Padula, Mariarosaria 10 Maltese, David 9 Kwon, Young-Sam 7 Petzeltová, Hana 6 Nečas, Jindřich 6 Nečasová, Šárka 5 Jin, Bumja 5 Novo, Sébastien 4 Gallouët, Thierry 4 Kračmar, Stanislav 4 Málek, Josef 4 Růžička, Michael 4 Straškraba, Ivan 4 Sun, Yongzhong 3 Bella, Peter 3 Březina, Jan 3 Donatelli, Donatella 3 Jesslé, Didier 3 Penel, Patrick 3 Pileckas, Konstantin 3 Šilhavý, Miroslav 2 Bause, Markus 2 Dutto, Patrick 2 Galdi, Giovanni Paolo 2 Gallagher, Isabelle 2 Herbin, Raphaèle 2 Heywood, John G. 2 Hošek, Radim 2 Jin, Byoung Jae 2 Lu, Yong 2 Mucha, Piotr Bogusław 2 Neustupa, Jiří 2 Sequeira, Adélia 2 Thäter, Gudrun 2 Videman, Juha Hans 2 Zatorska, Ewelina 1 Abbatiello, Anna 1 Bresch, Didier 1 Cheng, Ching-Hsiao Arthur 1 Choe, Hi Jun 1 Danchin, Raphaël 1 Farwig, Reinhard 1 Fujita-Yashima, Hisao 1 Gérard-Varet, David 1 Giga, Yoshikazu 1 Impagliazzo, Jean-Luc 1 Karper, Trygve G. 1 Klein, Rupert 1 Layton, William J. 1 Lewicka, Marta 1 Lukáčová-Medviďová, Mária 1 Maslowski, Bohdan 1 Michálek, Martin 1 Nazarov, Sergeĭ Aleksandrovich 1 Perepelitsa, Misha 1 Rokyta, Mirko 1 Roy, Arnab 1 She, Bangwei 1 Solonnikov, Vsevolod Alekseevich 1 Šverák, Vladimír 1 Takahashi, Takéo 1 Yang, Minsuk all top 5 Serials 10 Journal of Mathematical Fluid Mechanics 8 Archive for Rational Mechanics and Analysis 8 SIAM Journal on Mathematical Analysis 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Communications in Partial Differential Equations 5 Journal of Differential Equations 5 Applications of Mathematics 4 IMA Journal of Numerical Analysis 4 Mathematical Methods in the Applied Sciences 4 Commentationes Mathematicae Universitatis Carolinae 4 Mathematische Annalen 4 Discrete and Continuous Dynamical Systems 3 Communications in Mathematical Physics 3 Journal of Mathematics of Kyoto University 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Numerische Mathematik 2 Rendiconti del Seminario Matematico della Università di Padova 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Applicandae Mathematicae 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Discrete and Continuous Dynamical Systems. Series S 2 Science China. Mathematics 2 Advances in Mathematical Fluid Mechanics 1 Computers & Mathematics with Applications 1 International Journal of Non-Linear Mechanics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theoretical and Computational Fluid Dynamics 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Applied Mathematics and Optimization 1 Czechoslovak Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Differential and Integral Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Oxford Lecture Series in Mathematics and its Applications 1 Panoramas et Synthèses 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 Nečas Center Series all top 5 Fields 138 Partial differential equations (35-XX) 131 Fluid mechanics (76-XX) 13 Classical thermodynamics, heat transfer (80-XX) 10 Numerical analysis (65-XX) 4 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 136 Publications have been cited 2,541 times in 1,384 Documents Cited by ▼ Year ▼ On the existence of globally defined weak solutions to the Navier-Stokes equations. Zbl 0997.35043Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 462 2001 Singular limits in thermodynamics of viscous fluids. Zbl 1176.35126Feireisl, Eduard; Novotný, Antonín 290 2009 Introduction to the mathematical theory of compressible flow. Zbl 1088.35051Novotný, Antonín; Straškraba, Ivan 250 2004 Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system. Zbl 1256.35054Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín 125 2012 Weak-strong uniqueness property for the full Navier-Stokes-Fourier system. Zbl 1285.76034Feireisl, Eduard; Novotný, Antonín 78 2012 Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids. Zbl 1248.35143Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong 60 2011 An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 59 2002 The low Mach number limit for the full Navier-Stokes-Fourier system. Zbl 1147.76049Feireisl, Eduard; Novotný, Antonín 53 2007 Singular limits in thermodynamics of viscous fluids. 2nd edition. Zbl 1432.76002Feireisl, Eduard; Novotný, Antonín 47 2017 On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid. Zbl 0996.35051Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 34 2002 Estimates of Oseen kernels in weighted \(L^p\) spaces. Zbl 0988.76021Kračmar, Stanislav; Novotný, Antonín; Pokorný, Milan 31 2001 A singular limit for compressible rotating fluids. Zbl 1263.76077Feireisl, Eduard; Gallagher, Isabelle; Novotný, Antonín 31 2012 Inviscid incompressible limits of the full Navier-Stokes-Fourier system. Zbl 1291.35178Feireisl, Eduard; Novotný, Antonín 30 2013 Multi-scale analysis of compressible viscous and rotating fluids. Zbl 1251.35069Feireisl, Eduard; Gallagher, Isabelle; Gerard-Varet, David; Novotný, Antonín 29 2012 Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062Novotný, Antonín; Pokorný, Milan 29 2020 Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan 23 2012 The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008Feireisl, Eduard; Novotný, Antonin 22 2009 Global solution to the compressible isothermal multipolar fluid. Zbl 0757.35060Nečas, J.; Novotný, A.; Šilhavý, M. 22 1991 Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina 22 2016 Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations. Zbl 1273.76354Novotný, A.; Pokorný, M. 22 2011 Dimension reduction for compressible viscous fluids. Zbl 1306.35093Bella, Peter; Feireisl, Eduard; Novotný, Antonín 21 2014 Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní 21 2021 On a simple model of reacting compressible flows arising in astrophysics. Zbl 1130.35108Feireisl, Eduard; Novotný, Antonín 20 2005 Weak and variational solutions to steady equations for compressible heat conducting fluids. Zbl 1432.76208Novotný, Antonín; Pokorný, Milan 20 2011 Compressible Navier-Stokes system with general inflow-outflow boundary data. Zbl 1411.76149Chang, T.; Jin, B. J.; Novotný, A. 20 2019 On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina 19 2016 Scale analysis of a hydrodynamic model of plasma. Zbl 1308.76339Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 19 2015 Stabilization of weak solutions to compressible Navier-Stokes equations. Zbl 0970.35097Novotný, Antonín; Straškraba, Ivan 18 2000 Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime. Zbl 1457.35028Jesslé, Didier; Novotný, Antonín 18 2013 On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable. Zbl 1050.35074Novo, Sébastien; Novotný, Antonín 18 2002 Homogenization and singular limits for the complete Navier-Stokes-Fourier system. Zbl 1193.35152Feireisl, Eduard; Novotný, Antonín; Takahashi, Takéo 17 2010 On weak solutions of steady Navier-Stokes equations for monatomic gas. Zbl 1212.35345Březina, J.; Novotný, A. 16 2008 Compressible fluid flows driven by stochastic forcing. Zbl 1336.35374Feireisl, Eduard; Maslowski, Bohdan; Novotný, Antonín 16 2013 On the incompressible limit for the Navier-Stokes-Fourier system in domains with wavy bottoms. Zbl 1158.35072Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 16 2008 \(L^ p\)-approach to steady flows of viscous compressible fluids in exterior domains. Zbl 0809.76080Novotný, Antonín; Padula, Mariarosaria 15 1994 On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Zbl 1194.35304Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 15 2010 Note on decay of solutions of steady Navier-Stokes equations in 3-D exterior domains. Zbl 0828.35104Novotny, A.; Padula, M. 15 1995 On steady compressible Navier-Stokes equations in plane domains with corners. Zbl 0844.35083Nazarov, S. A.; Novotný, A.; Pileckas, K. 14 1996 Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains. Zbl 1284.35310Feireisl, Eduard; Novotny, Antonin; Sun, Yongzhong 14 2014 Scale interactions in compressible rotating fluids. Zbl 1302.76200Feireisl, Eduard; Novotný, Antonín 14 2014 Convergence to equilibria for compressible Navier-Stokes equations with large data. Zbl 1038.76037Novotný, Antonín; Straškraba, Ivan 14 2001 Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124Novotný, Antonín; Růžička, Michael; Thäter, Gudrun 14 2011 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 14 2016 Navier-Stokes-Fourier system on unbounded domains: weak solutions, relative entropies, weak-strong uniqueness. Zbl 1291.35183Jesslé, Didier; Jin, Bum Ja; Novotný, Antonín 13 2013 Multiple scales and singular limits for compressible rotating fluids with general initial data. Zbl 1307.35220Feireisl, Eduard; Novotný, Antonín 13 2014 Stationary solutions to the compressible Navier-Stokes system with general boundary conditions. Zbl 1405.35138Feireisl, Eduard; Novotný, Antonín 13 2018 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 12 2008 Rotating compressible fluids under strong stratification. Zbl 1367.76063Feireisl, Eduard; Lu, Yong; Novotný, Antonín 12 2014 Compressible Navier-Stokes equations on thin domains. Zbl 1308.35170Maltese, David; Novotný, Antonín 12 2014 A convergent numerical method for the Navier-Stokes-Fourier system. Zbl 1433.76107Feireisl, Eduard; Karper, Trygve; Novotný, Antonín 12 2016 Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification. Zbl 1270.35340Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 11 2010 Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253Gallouët, Thierry; Maltese, David; Novotny, Antonin 11 2019 Large time behaviour of flows of compressible, viscous, and heat conducting fluids. Zbl 1105.35075Feireisl, Eduard; Novotný, Antoní 10 2006 On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. Zbl 1259.35157Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 10 2012 Global solution to the ideal compressible heat conductive multipolar fluid. Zbl 0702.35205Nečas, Jindřich; Novotný, Antonín; Šilhavý, Miroslav 10 1989 A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system. Zbl 1293.35239Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong 10 2014 Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001 10 2018 Inviscid incompressible limits of strongly stratified fluids. Zbl 1304.35540Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín 10 2014 Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids. Zbl 1464.76179Novotný, Antonin 10 2020 One-dimensional equation of viscous heat-conducting gas under less restrictive initial conditions. (Equation monodimensionnelle d’un gaz visqueux et calorifère avec des conditions initiales moins restrictives.) Zbl 0806.76076Fujita-Yashima, H.; Padula, M.; Novotný, A. 9 1993 Measure-valued solution for non-Newtonian compressible isothermal monopolar fluid. Zbl 0814.76006Matušů-Nečasová, Š.; Novotný, A. 9 1994 Some qualitative properties of the viscous compressible heat conductive multipolar fluid. Zbl 0777.35061Nečas, J.; Novotný, A. 9 1991 About steady transport equation. I: \(L^ p\)-approach in domains with smooth boundaries. Zbl 0852.35115Novotný, Antonín 9 1996 Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei 9 2018 Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law. Zbl 1402.35222Feireisl, Eduard; Lu, Yong; Novotný, Antonín 9 2018 Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. Zbl 0774.76008Málek, Josef; Nečas, Jindřich; Novotný, Antonín 8 1992 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains. Zbl 1360.35144Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín 8 2017 Weak-strong uniqueness for a bi-fluid model for a mixture of non-interacting compressible fluids. Zbl 1428.35297Jin, B. J.; Novotný, A. 8 2019 Existence and uniqueness of stationary solutions for a viscous compressible heat-conducting fluid with large potential and small nonpotential external forces. Zbl 0808.76083Novotný, A.; Padula, M. 7 1993 Steady Navier-Stokes-Fourier system with slip boundary conditions. Zbl 1430.76409Jesslé, Didier; Novotný, Antonín; Pokorný, Milan 7 2014 Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces. Zbl 0803.76072Novotný, Antonín 6 1993 Physically reasonable solutions to steady compressible Navier-Stokes equations in 3D exterior domains \((v_ \infty\neq 0)\). Zbl 0883.76072Novotny, Antonin; Padula, Mariarosaria 6 1997 On the two-dimensional steady-state problem of a viscous gas in an exterior domain. Zbl 0894.76070Galdi, G. P.; Novotný, A.; Padula, M. 6 1997 About steady transport equation. II: Schauder estimates in domains with smooth boundaries. Zbl 0893.35105Novotny, Antonin 6 1997 Stability of strong solutions to the Navier-Stokes-Fourier system. Zbl 1439.35365Březina, Jan; Feireisl, Eduard; Novotný, Antonín 6 2020 Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system. Zbl 1439.76067Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín 6 2017 Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness. Zbl 1497.76068Kwon, Young-Sam; Novotny, Antonin 6 2021 A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. Zbl 1099.35088Novo, Sébastien; Novotný, Antonín 5 2005 Three-dimensional steady flow of viscoelastic fluid past an obstacle. Zbl 0974.35094Novotný, Antonín; Pokorný, Milan 5 2000 Navier-Stokes-Fourier system with general boundary conditions. Zbl 1477.35161Feireisl, Eduard; Novotný, Antonín 5 2021 Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system. Zbl 1308.76231Feireisl, Eduard; Novotný, Antonín 5 2014 The motion of a compressible viscous fluid around rotating body. Zbl 1302.35296Kračmar, S.; Nečasová, Š.; Novotný, A. 5 2014 Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097Novotný, Antonín; Růžička, Michael; Thäter, Gudrun 5 2011 Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions. Zbl 1224.76108Novotný, A.; Pokorný, M. 5 2011 Multiscale analysis in the compressible rotating and heat conducting fluids. Zbl 1444.76126Kwon, Young-Sam; Maltese, David; Novotný, Antonín 5 2018 Consistency, convergence and error estimates for a mixed finite element-finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data. Zbl 07465494Kwon, Young-Sam; Novotný, Antonín 5 2022 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions. Zbl 1414.35146Choe, H. J.; Novotný, A.; Yang, M. 5 2019 Global solution to the viscous compressible barotropic multipolar gas. Zbl 0761.76006Nečas, J.; Novotný, A.; Šilhavý, M. 4 1992 Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass. Zbl 1122.76076Novotný, A.; Pokorný, M. 4 2007 Uniqueness of solutions to the systems for thermoelastic bodies with strong viscosity. Zbl 0725.73012Nečas, J.; Novotný, A.; Šverák, V. 4 1990 Physically reasonable solutions to steady compressible Navier-Stokes equations in \(3D\)-exterior domains \((v_ \infty=0)\). Zbl 0874.76074Novotny, Antonin; Padula, Mariarosaria 4 1996 On the steady transport equation. Zbl 0941.35079Novotný, Antonín 4 1998 Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239Březina, Jan; Feireisl, Eduard; Novotný, Antonín 4 2020 Mathematics of open fluid systems. Zbl 1504.76003Feireisl, Eduard; Novotný, Antonin 4 2022 Some notes to the transport equation and to the Green formula. Zbl 1165.35427Novotný, Antonín; Novo, Sébastien; Pokorný, Milan 3 2001 An iterative scheme for steady compressible viscous flow, modified to treat large potential forces. Zbl 1028.76041Bause, Markus; Heywood, John G.; Novotný, Antonín; Padula, Mariarosaria 3 2001 Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition. Zbl 0914.76070Novotny, Antonin; Pileckas, Konstantin 3 1998 Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method. Zbl 0852.76077Novotný, Antonín 3 1996 Consistency, convergence and error estimates for a mixed finite element-finite volume scheme to compressible Navier-Stokes equations with general inflow/outflow boundary data. Zbl 07465494Kwon, Young-Sam; Novotný, Antonín 5 2022 Mathematics of open fluid systems. Zbl 1504.76003Feireisl, Eduard; Novotný, Antonin 4 2022 Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data. Zbl 1513.76115Kračmar, Stanislav; Kwon, Young-Sam; Nečasová, Šárka; Novotný, Antonín 2 2022 Compressible Navier-Stokes system with the hard sphere pressure law in an exterior domain. Zbl 1496.35323Nečasová, Šárka; Novotný, Antonin; Roy, Arnab 1 2022 Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní 21 2021 Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness. Zbl 1497.76068Kwon, Young-Sam; Novotny, Antonin 6 2021 Navier-Stokes-Fourier system with general boundary conditions. Zbl 1477.35161Feireisl, Eduard; Novotný, Antonín 5 2021 Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system. Zbl 1494.35132Feireisl, Eduard; Novotný, Antonín 3 2021 Construction of weak solutions to compressible Navier-Stokes equations with general inflow/outflow boundary conditions via a numerical approximation. Zbl 1479.35621Kwon, Young-Sam; Novotný, Antonin 3 2021 Weak-strong uniqueness property for models of compressible viscous fluids near vacuum. Zbl 1479.35609Feireisl, Eduard; Novotný, Antonín 3 2021 Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids. Zbl 1479.35670Jin, Bumja; Kwon, Young-Sam; Nečasová, Šárka; Novotný, Antonín 3 2021 On the long-time behavior of dissipative solutions to models of non-Newtonian compressible fluids. Zbl 1472.35294Feireisl, Eduard; Kwon, Young-Sam; Novotný, Antonín 2 2021 Continuity equation and vacuum regions in compressible flows. Zbl 1490.76179Novotný, Antonín; Pokorný, Milan 2 2021 Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108Maltese, David; Novotný, Antonín 1 2021 Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062Novotný, Antonín; Pokorný, Milan 29 2020 Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids. Zbl 1464.76179Novotný, Antonin 10 2020 Stability of strong solutions to the Navier-Stokes-Fourier system. Zbl 1439.35365Březina, Jan; Feireisl, Eduard; Novotný, Antonín 6 2020 Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239Březina, Jan; Feireisl, Eduard; Novotný, Antonín 4 2020 Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data. Zbl 1427.35179Kwon, Young-Sam; Novotny, Antonin 2 2020 On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible heat conducting gases. Zbl 1450.35218Kwon, Young-Sam; Novotny, Antonin; Cheng, C. H. Arthur 2 2020 Compressible Navier-Stokes system with general inflow-outflow boundary data. Zbl 1411.76149Chang, T.; Jin, B. J.; Novotný, A. 20 2019 Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253Gallouët, Thierry; Maltese, David; Novotny, Antonin 11 2019 Weak-strong uniqueness for a bi-fluid model for a mixture of non-interacting compressible fluids. Zbl 1428.35297Jin, B. J.; Novotný, A. 8 2019 Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions. Zbl 1414.35146Choe, H. J.; Novotný, A.; Yang, M. 5 2019 Stationary solutions to the compressible Navier-Stokes system with general boundary conditions. Zbl 1405.35138Feireisl, Eduard; Novotný, Antonín 13 2018 Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001 10 2018 Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei 9 2018 Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law. Zbl 1402.35222Feireisl, Eduard; Lu, Yong; Novotný, Antonín 9 2018 Multiscale analysis in the compressible rotating and heat conducting fluids. Zbl 1444.76126Kwon, Young-Sam; Maltese, David; Novotný, Antonín 5 2018 Singular limits in thermodynamics of viscous fluids. 2nd edition. Zbl 1432.76002Feireisl, Eduard; Novotný, Antonín 47 2017 Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains. Zbl 1360.35144Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín 8 2017 Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system. Zbl 1439.76067Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín 6 2017 Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A. 5 2017 Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina 22 2016 On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina 19 2016 Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin 14 2016 A convergent numerical method for the Navier-Stokes-Fourier system. Zbl 1433.76107Feireisl, Eduard; Karper, Trygve; Novotný, Antonín 12 2016 Lecture notes on the Navier-Stokes-Fourier system: weak solutions, relative entropy inequality, weak strong uniqueness. Zbl 1369.35066Novotný, Antonin 2 2016 A rigorous justification of the Euler and Navier-Stokes equations with geometric effects. Zbl 1406.35258Bella, Peter; Feireisl, Eduard; Lewicka, Marta; Novotný, Antonín 2 2016 On the motion of viscous, compressible, and heat-conducting liquids. Zbl 1346.76178Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong 1 2016 Scale analysis of a hydrodynamic model of plasma. Zbl 1308.76339Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 19 2015 Robustness of strong solutions to the compressible Navier-Stokes system. Zbl 1326.35234Bella, Peter; Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín 2 2015 Dimension reduction for compressible viscous fluids. Zbl 1306.35093Bella, Peter; Feireisl, Eduard; Novotný, Antonín 21 2014 Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains. Zbl 1284.35310Feireisl, Eduard; Novotny, Antonin; Sun, Yongzhong 14 2014 Scale interactions in compressible rotating fluids. Zbl 1302.76200Feireisl, Eduard; Novotný, Antonín 14 2014 Multiple scales and singular limits for compressible rotating fluids with general initial data. Zbl 1307.35220Feireisl, Eduard; Novotný, Antonín 13 2014 Rotating compressible fluids under strong stratification. Zbl 1367.76063Feireisl, Eduard; Lu, Yong; Novotný, Antonín 12 2014 Compressible Navier-Stokes equations on thin domains. Zbl 1308.35170Maltese, David; Novotný, Antonín 12 2014 A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system. Zbl 1293.35239Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong 10 2014 Inviscid incompressible limits of strongly stratified fluids. Zbl 1304.35540Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín 10 2014 Steady Navier-Stokes-Fourier system with slip boundary conditions. Zbl 1430.76409Jesslé, Didier; Novotný, Antonín; Pokorný, Milan 7 2014 Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system. Zbl 1308.76231Feireisl, Eduard; Novotný, Antonín 5 2014 The motion of a compressible viscous fluid around rotating body. Zbl 1302.35296Kračmar, S.; Nečasová, Š.; Novotný, A. 5 2014 Inviscid incompressible limits of the full Navier-Stokes-Fourier system. Zbl 1291.35178Feireisl, Eduard; Novotný, Antonín 30 2013 Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime. Zbl 1457.35028Jesslé, Didier; Novotný, Antonín 18 2013 Compressible fluid flows driven by stochastic forcing. Zbl 1336.35374Feireisl, Eduard; Maslowski, Bohdan; Novotný, Antonín 16 2013 Navier-Stokes-Fourier system on unbounded domains: weak solutions, relative entropies, weak-strong uniqueness. Zbl 1291.35183Jesslé, Didier; Jin, Bum Ja; Novotný, Antonín 13 2013 Suitable weak solutions: From compressible viscous to incompressible inviscid fluid flows. Zbl 1287.35068Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 2 2013 Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system. Zbl 1256.35054Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín 125 2012 Weak-strong uniqueness property for the full Navier-Stokes-Fourier system. Zbl 1285.76034Feireisl, Eduard; Novotný, Antonín 78 2012 A singular limit for compressible rotating fluids. Zbl 1263.76077Feireisl, Eduard; Gallagher, Isabelle; Novotný, Antonín 31 2012 Multi-scale analysis of compressible viscous and rotating fluids. Zbl 1251.35069Feireisl, Eduard; Gallagher, Isabelle; Gerard-Varet, David; Novotný, Antonín 29 2012 Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan 23 2012 On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. Zbl 1259.35157Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 10 2012 Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids. Zbl 1248.35143Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong 60 2011 Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations. Zbl 1273.76354Novotný, A.; Pokorný, M. 22 2011 Weak and variational solutions to steady equations for compressible heat conducting fluids. Zbl 1432.76208Novotný, Antonín; Pokorný, Milan 20 2011 Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124Novotný, Antonín; Růžička, Michael; Thäter, Gudrun 14 2011 Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097Novotný, Antonín; Růžička, Michael; Thäter, Gudrun 5 2011 Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions. Zbl 1224.76108Novotný, A.; Pokorný, M. 5 2011 Homogenization and singular limits for the complete Navier-Stokes-Fourier system. Zbl 1193.35152Feireisl, Eduard; Novotný, Antonín; Takahashi, Takéo 17 2010 On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Zbl 1194.35304Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín 15 2010 Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification. Zbl 1270.35340Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 11 2010 On Lighthill’s acoustic analogy for low Mach number flows. Zbl 1204.35135Layton, William; Novotný, Antonín 1 2010 Singular limits in thermodynamics of viscous fluids. Zbl 1176.35126Feireisl, Eduard; Novotný, Antonín 290 2009 The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008Feireisl, Eduard; Novotný, Antonin 22 2009 On weak solutions of steady Navier-Stokes equations for monatomic gas. Zbl 1212.35345Březina, J.; Novotný, A. 16 2008 On the incompressible limit for the Navier-Stokes-Fourier system in domains with wavy bottoms. Zbl 1158.35072Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 16 2008 Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan 12 2008 Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054Feireisl, Eduard; Málek, Josef; Novotný, Antonín 8 2008 Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification. Zbl 1143.76562Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 2 2008 The low Mach number limit for the full Navier-Stokes-Fourier system. Zbl 1147.76049Feireisl, Eduard; Novotný, Antonín 53 2007 Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass. Zbl 1122.76076Novotný, A.; Pokorný, M. 4 2007 Large time behaviour of flows of compressible, viscous, and heat conducting fluids. Zbl 1105.35075Feireisl, Eduard; Novotný, Antoní 10 2006 On the existence of weak solutions to the steady compressible Navier-Stokes equations in domains with conical outlets. Zbl 1184.35244Novo, S.; Novotný, A. 1 2006 On a simple model of reacting compressible flows arising in astrophysics. Zbl 1130.35108Feireisl, Eduard; Novotný, Antonín 20 2005 A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. Zbl 1099.35088Novo, Sébastien; Novotný, Antonín 5 2005 On a class of physically admissible variational solutions to the Navier-Stokes-Fourier system. Zbl 1081.35075Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 2 2005 Steady compressible Navier-Stokes equations in domains with non-compact boundaries. Zbl 1075.35040Novo, S.; Novotný, A.; Pokorný, M. 2 2005 Weak sequential stability of the set of admissible variational solutions to the Navier–Stokes–Fourier system. Zbl 1099.35078Feireisl, Eduard; Novotný, Antonín 2 2005 Introduction to the mathematical theory of compressible flow. Zbl 1088.35051Novotný, Antonín; Straškraba, Ivan 250 2004 On some approximation schemes for steady compressible viscous flow. Zbl 1036.76054Bause, Markus; Heywood, John G.; Novotny, Antonin; Padula, Mariarosaria 1 2003 An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073Neustupa, Jirí; Novotný, Antonín; Penel, Patrick 59 2002 On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid. Zbl 0996.35051Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 34 2002 On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable. Zbl 1050.35074Novo, Sébastien; Novotný, Antonín 18 2002 Steady plane flow of viscoelastic fluid past an obstacle. Zbl 1090.35038Novotný, Antonín; Pokorný, Milan 2 2002 On the existence of globally defined weak solutions to the Navier-Stokes equations. Zbl 0997.35043Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana 462 2001 Estimates of Oseen kernels in weighted \(L^p\) spaces. Zbl 0988.76021Kračmar, Stanislav; Novotný, Antonín; Pokorný, Milan 31 2001 Convergence to equilibria for compressible Navier-Stokes equations with large data. Zbl 1038.76037Novotný, Antonín; Straškraba, Ivan 14 2001 Some notes to the transport equation and to the Green formula. Zbl 1165.35427Novotný, Antonín; Novo, Sébastien; Pokorný, Milan 3 2001 ...and 36 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,053 Authors 115 Feireisl, Eduard 74 Novotný, Antonín 65 Nečasová, Šárka 38 Tan, Zhong 36 Pokorný, Milan 34 Jiang, Song 33 Kwon, Young-Sam 32 Jiang, Fei 22 Bresch, Didier 22 Ducomet, Bernard 21 Zatorska, Ewelina 19 Wang, Dehua 19 Zhu, Changjiang 18 Donatelli, Donatella 18 Li, Fucai 18 Mucha, Piotr Bogusław 18 Xin, Zhouping 17 Kreml, Ondřej 16 Fanelli, Francesco 16 Lukáčová-Medviďová, Mária 16 Mácha, Václav 16 Tang, Tong 16 Wen, Huanyao 16 Zhang, Zujin 15 Ju, Qiangchang 15 Li, Jing 14 Gwiazda, Piotr 14 Zhong, Xin 13 Breit, Dominic 13 Ou, Yaobin 13 Plotnikov, Pavel I. 13 Sun, Yongzhong 13 Trivisa, Konstantina 12 Bulíček, Miroslav 12 Lu, Yong 12 Piasecki, Tomasz 12 She, Bangwei 12 Wang, Weiwei 12 Zhang, Jianwen 11 Dou, Changsheng 11 Guo, Zhenhua 11 Huang, Xiangdi 11 Jiu, Quansen 11 Kračmar, Stanislav 11 Prokudin, Dmitriĭ Alekseevich 10 Deuring, Paul 10 Guo, Boling 10 Hofmanová, Martina 10 Li, Jinkai 10 Li, Yang 10 Wu, Guochun 9 Fan, Jishan 9 Hu, Xianpeng 9 Jüngel, Ansgar 9 Liang, Zhilei 9 Málek, Josef 9 Penel, Patrick 9 Świerczewska-Gwiazda, Agnieszka 9 Vasseur, Alexis F. 9 Wróblewska-Kamińska, Aneta 9 Yu, Cheng 9 Zhao, Youyi 8 Bella, Peter 8 Březina, Jan 8 Danchin, Raphaël 8 Guillén González, Francisco M. 8 Mamontov, Aleksandr Evgen’evich 8 Rueda-Gómez, Diego Armando 8 Villamizar-Roa, Elder Jesús 8 Wiedemann, Emil 8 Zhai, Xiaoping 8 Zhang, Ting 7 Basarić, Danica 7 Frehse, Jens 7 Hu, Yuxi 7 Kukavica, Igor 7 Kweon, Jae Ryong 7 Liu, Xin 7 Mizerová, Hana 7 Roubíček, Tomáš 7 Skalák, Zdeněk 7 Sokołowski, Jan 7 Süli, Endre E. 7 Wang, Huaqiao 7 Wang, Shu 7 Wang, Yongfu 7 Yuan, Hongjun 6 Amrouche, Chérif 6 Bae, Hyeong-Ohk 6 Caggio, Matteo 6 Druet, Pierre-Étienne 6 Gallouët, Thierry 6 Gao, Hongjun 6 Giovangigli, Vincent 6 Hamdache, Kamel 6 Huang, Bingkang 6 Lasarzik, Robert 6 Li, Hailiang 6 Li, Zilai 6 Maltese, David ...and 953 more Authors all top 5 Cited in 190 Serials 133 Journal of Differential Equations 108 Journal of Mathematical Fluid Mechanics 67 Journal of Mathematical Analysis and Applications 57 Nonlinear Analysis. 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