## Novotný, Antonín

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 Author ID: novotny.antonin Published as: Novotný, Antonín; Novotný, A.; Novotny, Antonin; Novotný, Antonin; Novotny, A.; Novotný, Antoní more...less
 Documents Indexed: 138 Publications since 1989, including 4 Books 3 Contributions as Editor · 1 Further Contribution Co-Authors: 57 Co-Authors with 128 Joint Publications 1,483 Co-Co-Authors
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### Co-Authors

 9 single-authored 57 Feireisl, Eduard 16 Pokorný, Milan 12 Padula, Mariarosaria 10 Maltese, David 9 Kwon, Young-Sam 7 Petzeltová, Hana 6 Nečas, Jindřich 5 Jin, Bumja 5 Nečasová, Šárka 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-Medvid’ová, Mária 1 Maslowski, Bohdan 1 Michálek, Martin 1 Nazarov, Sergeĭ Aleksandrovich 1 Perepelitsa, Misha 1 Rokyta, Mirko 1 She, Bangwei 1 Solonnikov, Vsevolod Alekseevich 1 Šverák, Vladimír 1 Takahashi, Takéo 1 Yang, Minsuk
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### 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 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 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 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations 1 Nečas Center Series
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### Fields

 135 Partial differential equations (35-XX) 130 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)

### Citations contained in zbMATH Open

133 Publications have been cited 2,107 times in 1,149 Documents Cited by Year
On the existence of globally defined weak solutions to the Navier-Stokes equations. Zbl 0997.35043
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2001
Singular limits in thermodynamics of viscous fluids. Zbl 1176.35126
Feireisl, Eduard; Novotný, Antonín
2009
Introduction to the mathematical theory of compressible flow. Zbl 1088.35051
Novotný, Antonín; Straškraba, Ivan
2004
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system. Zbl 1256.35054
Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2012
Weak-strong uniqueness property for the full Navier-Stokes-Fourier system. Zbl 1285.76034
Feireisl, Eduard; Novotný, Antonín
2012
Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids. Zbl 1248.35143
Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong
2011
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
The low Mach number limit for the full Navier-Stokes-Fourier system. Zbl 1147.76049
Feireisl, Eduard; Novotný, Antonín
2007
On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid. Zbl 0996.35051
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2002
A singular limit for compressible rotating fluids. Zbl 1263.76077
Feireisl, Eduard; Gallagher, Isabelle; Novotný, Antonín
2012
Estimates of Oseen kernels in weighted $$L^p$$ spaces. Zbl 0988.76021
Kračmar, Stanislav; Novotný, Antonín; Pokorný, Milan
2001
Singular limits in thermodynamics of viscous fluids. 2nd edition. Zbl 1432.76002
Feireisl, Eduard; Novotný, Antonín
2017
Inviscid incompressible limits of the full Navier-Stokes-Fourier system. Zbl 1291.35178
Feireisl, Eduard; Novotný, Antonín
2013
Multi-scale analysis of compressible viscous and rotating fluids. Zbl 1251.35069
Feireisl, Eduard; Gallagher, Isabelle; Gerard-Varet, David; Novotný, Antonín
2012
Global solution to the compressible isothermal multipolar fluid. Zbl 0757.35060
Nečas, J.; Novotný, A.; Šilhavý, M.
1991
Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations. Zbl 1273.76354
Novotný, A.; Pokorný, M.
2011
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
2009
Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062
Novotný, Antonín; Pokorný, Milan
2020
Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106
Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina
2016
Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187
Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan
2012
Dimension reduction for compressible viscous fluids. Zbl 1306.35093
Bella, Peter; Feireisl, Eduard; Novotný, Antonín
2014
Weak and variational solutions to steady equations for compressible heat conducting fluids. Zbl 1432.76208
Novotný, Antonín; Pokorný, Milan
2011
On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable. Zbl 1050.35074
Novo, Sébastien; Novotný, Antonín
2002
Stabilization of weak solutions to compressible Navier-Stokes equations. Zbl 0970.35097
Novotný, Antonín; Straškraba, Ivan
2000
On a simple model of reacting compressible flows arising in astrophysics. Zbl 1130.35108
Feireisl, Eduard; Novotný, Antonín
2005
Scale analysis of a hydrodynamic model of plasma. Zbl 1308.76339
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2015
Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime. Zbl 1457.35028
Jesslé, Didier; Novotný, Antonín
2013
On the incompressible limit for the Navier-Stokes-Fourier system in domains with wavy bottoms. Zbl 1158.35072
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2008
$$L^ p$$-approach to steady flows of viscous compressible fluids in exterior domains. Zbl 0809.76080
1994
On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210
Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina
2016
On weak solutions of steady Navier-Stokes equations for monatomic gas. Zbl 1212.35345
Březina, J.; Novotný, A.
2008
On steady compressible Navier-Stokes equations in plane domains with corners. Zbl 0844.35083
Nazarov, S. A.; Novotný, A.; Pileckas, K.
1996
Scale interactions in compressible rotating fluids. Zbl 1302.76200
Feireisl, Eduard; Novotný, Antonín
2014
Compressible Navier-Stokes system with general inflow-outflow boundary data. Zbl 1411.76149
Chang, T.; Jin, B. J.; Novotný, A.
2019
Compressible fluid flows driven by stochastic forcing. Zbl 1336.35374
Feireisl, Eduard; Maslowski, Bohdan; Novotný, Antonín
2013
Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Zbl 1194.35304
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2010
Note on decay of solutions of steady Navier-Stokes equations in 3-D exterior domains. Zbl 0828.35104
1995
Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains. Zbl 1284.35310
Feireisl, Eduard; Novotny, Antonin; Sun, Yongzhong
2014
Convergence to equilibria for compressible Navier-Stokes equations with large data. Zbl 1038.76037
Novotný, Antonín; Straškraba, Ivan
2001
Multiple scales and singular limits for compressible rotating fluids with general initial data. Zbl 1307.35220
Feireisl, Eduard; Novotný, Antonín
2014
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
2021
Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification. Zbl 1270.35340
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2010
A convergent numerical method for the Navier-Stokes-Fourier system. Zbl 1433.76107
Feireisl, Eduard; Karper, Trygve; Novotný, Antonín
2016
Navier-Stokes-Fourier system on unbounded domains: weak solutions, relative entropies, weak-strong uniqueness. Zbl 1291.35183
Jesslé, Didier; Jin, Bum Ja; Novotný, Antonín
2013
Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073
Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan
2008
Homogenization and singular limits for the complete Navier-Stokes-Fourier system. Zbl 1193.35152
Feireisl, Eduard; Novotný, Antonín; Takahashi, Takéo
2010
Rotating compressible fluids under strong stratification. Zbl 1367.76063
Feireisl, Eduard; Lu, Yong; Novotný, Antonín
2014
Large time behaviour of flows of compressible, viscous, and heat conducting fluids. Zbl 1105.35075
Feireisl, Eduard; Novotný, Antoní
2006
Compressible Navier-Stokes equations on thin domains. Zbl 1308.35170
Maltese, David; Novotný, Antonín
2014
Stationary solutions to the compressible Navier-Stokes system with general boundary conditions. Zbl 1405.35138
Feireisl, Eduard; Novotný, Antonín
2018
Some qualitative properties of the viscous compressible heat conductive multipolar fluid. Zbl 0777.35061
Nečas, J.; Novotný, A.
1991
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 0806.76076
Fujita-Yashima, H.; Padula, M.; Novotný, A.
1993
About steady transport equation. I: $$L^ p$$-approach in domains with smooth boundaries. Zbl 0852.35115
Novotný, Antonín
1996
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
2016
Global solution to the ideal compressible heat conductive multipolar fluid. Zbl 0702.35205
Nečas, Jindřich; Novotný, Antonín; Šilhavý, Miroslav
1989
On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. Zbl 1259.35157
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2012
A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system. Zbl 1293.35239
Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong
2014
Inviscid incompressible limits of strongly stratified fluids. Zbl 1304.35540
Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2014
Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253
Gallouët, Thierry; Maltese, David; Novotny, Antonin
2019
Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer. Zbl 0774.76008
Málek, Josef; Nečas, Jindřich; Novotný, Antonín
1992
Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei
2018
Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054
Feireisl, Eduard; Málek, Josef; Novotný, Antonín
2008
About steady transport equation. II: Schauder estimates in domains with smooth boundaries. Zbl 0893.35105
Novotny, Antonin
1997
Existence and uniqueness of stationary solutions for a viscous compressible heat-conducting fluid with large potential and small nonpotential external forces. Zbl 0808.76083
1993
Measure-valued solution for non-Newtonian compressible isothermal monopolar fluid. Zbl 0814.76006
Matušů-Nečasová, Š.; Novotný, A.
1994
Physically reasonable solutions to steady compressible Navier-Stokes equations in 3D exterior domains $$(v_ \infty\neq 0)$$. Zbl 0883.76072
1997
Steady Navier-Stokes-Fourier system with slip boundary conditions. Zbl 1430.76409
Jesslé, Didier; Novotný, Antonín; Pokorný, Milan
2014
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness. Zbl 07312806
Kwon, Young-Sam; Novotny, Antonin
2021
Weak-strong uniqueness for a bi-fluid model for a mixture of non-interacting compressible fluids. Zbl 1428.35297
Jin, B. J.; Novotný, A.
2019
Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law. Zbl 1402.35222
Feireisl, Eduard; Lu, Yong; Novotný, Antonín
2018
Steady flows of viscous compressible fluids in exterior domains under small perturbations of great potential forces. Zbl 0803.76072
Novotný, Antonín
1993
Three-dimensional steady flow of viscoelastic fluid past an obstacle. Zbl 0974.35094
Novotný, Antonín; Pokorný, Milan
2000
Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001
2018
Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system. Zbl 1308.76231
Feireisl, Eduard; Novotný, Antonín
2014
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids. Zbl 1464.76179
Novotný, Antonin
2020
Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains. Zbl 1360.35144
Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín
2017
Multiscale analysis in the compressible rotating and heat conducting fluids. Zbl 1444.76126
Kwon, Young-Sam; Maltese, David; Novotný, Antonín
2018
Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions. Zbl 1224.76108
Novotný, A.; Pokorný, M.
2011
A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. Zbl 1099.35088
Novo, Sébastien; Novotný, Antonín
2005
On the two-dimensional steady-state problem of a viscous gas in an exterior domain. Zbl 0894.76070
Galdi, G. P.; Novotný, A.; Padula, M.
1997
Global solution to the viscous compressible barotropic multipolar gas. Zbl 0761.76006
Nečas, J.; Novotný, A.; Šilhavý, M.
1992
Physically reasonable solutions to steady compressible Navier-Stokes equations in $$3D$$-exterior domains $$(v_ \infty=0)$$. Zbl 0874.76074
1996
Uniqueness of solutions to the systems for thermoelastic bodies with strong viscosity. Zbl 0725.73012
Nečas, J.; Novotný, A.; Šverák, V.
1990
Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass. Zbl 1122.76076
Novotný, A.; Pokorný, M.
2007
Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Estimates of three-dimensional Oseen kernels in weighted $$L^p$$ spaces. Zbl 0961.35105
Kračmar, Stanislav; Novotný, Antonín; Pokorný, Milan
1999
Steady compressible Navier-Stokes equations with large potential forces via a method of decomposition. Zbl 0914.76070
Novotny, Antonin; Pileckas, Konstantin
1998
Some notes to the transport equation and to the Green formula. Zbl 1165.35427
Novotný, Antonín; Novo, Sébastien; Pokorný, Milan
2001
Some remarks to the compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method. Zbl 0852.76077
Novotný, Antonín
1996
On the steady transport equation. Zbl 0941.35079
Novotný, Antonín
1998
The motion of a compressible viscous fluid around rotating body. Zbl 1302.35296
Kračmar, S.; Nečasová, Š.; Novotný, A.
2014
An iterative scheme for steady compressible viscous flow, modified to treat large potential forces. Zbl 1028.76041
Bause, Markus; Heywood, John G.; Novotný, Antonín; Padula, Mariarosaria
2001
Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions. Zbl 1414.35146
Choe, H. J.; Novotný, A.; Yang, M.
2019
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 07465494
Kwon, Young-Sam; Novotný, Antonín
2022
Suitable weak solutions: From compressible viscous to incompressible inviscid fluid flows. Zbl 1287.35068
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2013
Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification. Zbl 1143.76562
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2008
Physically reasonable solutions to steady compressible Navier-Stokes equations in 2D exterior domains with nonzero velocity at infinity. Zbl 1103.76363
Dutto, Patrick; Novotny, Antonin
2001
Existence of three-dimensional flows of second-grade fluids past an obstacle. Zbl 0893.35106
Novotný, Antonin; Sequeira, Adélia; Videman, Juha H.
1997
On a class of physically admissible variational solutions to the Navier-Stokes-Fourier system. Zbl 1081.35075
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2005
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 07465494
Kwon, Young-Sam; Novotný, Antonín
2022
Mathematics of open fluid systems. Zbl 07471541
Feireisl, Eduard; Novotný, Antonin
2022
Weak solutions for a bifluid model for a mixture of two compressible noninteracting fluids with general boundary data. Zbl 07475770
Kračmar, Stanislav; Kwon, Young-Sam; Nečasová, Šárka; Novotný, Antonín
2022
Generalized solutions to models of compressible viscous fluids. Zbl 1460.35274
Abbatiello, Anna; Feireisl, Eduard; Novotný, Antoní
2021
Dissipative solutions to compressible Navier-Stokes equations with general inflow-outflow data: existence, stability and weak strong uniqueness. Zbl 07312806
Kwon, Young-Sam; Novotny, Antonin
2021
Navier-Stokes-Fourier system with general boundary conditions. Zbl 1477.35161
Feireisl, Eduard; Novotný, Antonín
2021
Existence and stability of dissipative turbulent solutions to a simple bi-fluid model of compressible fluids. Zbl 1479.35670
Jin, Bumja; Kwon, Young-Sam; Nečasová, Šárka; Novotný, Antonín
2021
Weak-strong uniqueness property for models of compressible viscous fluids near vacuum. Zbl 1479.35609
Feireisl, Eduard; Novotný, Antonín
2021
Stability of planar rarefaction waves under general viscosity perturbation of the isentropic Euler system. Zbl 07411896
Feireisl, Eduard; Novotný, Antonín
2021
On the long-time behavior of dissipative solutions to models of non-Newtonian compressible fluids. Zbl 1472.35294
Feireisl, Eduard; Kwon, Young-Sam; Novotný, Antonín
2021
Implicit MAC scheme for compressible Navier-Stokes equations: low Mach asymptotic error estimates. Zbl 1460.65108
Maltese, David; Novotný, Antonín
2021
Continuity equation and vacuum regions in compressible flows. Zbl 07451391
Novotný, Antonín; Pokorný, Milan
2021
Weak solutions for some compressible multicomponent fluid models. Zbl 1434.35062
Novotný, Antonín; Pokorný, Milan
2020
Weak solutions for a bi-fluid model for a mixture of two compressible non interacting fluids. Zbl 1464.76179
Novotný, Antonin
2020
Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions. Zbl 1462.35239
Březina, Jan; Feireisl, Eduard; Novotný, Antonín
2020
Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data. Zbl 1427.35179
Kwon, Young-Sam; Novotny, Antonin
2020
Stability of strong solutions to the Navier-Stokes-Fourier system. Zbl 1439.35365
Březina, Jan; Feireisl, Eduard; Novotný, Antonín
2020
On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible heat conducting gases. Zbl 1450.35218
Kwon, Young-Sam; Novotny, Antonin; Cheng, C. H. Arthur
2020
Compressible Navier-Stokes system with general inflow-outflow boundary data. Zbl 1411.76149
Chang, T.; Jin, B. J.; Novotný, A.
2019
Error estimates for the implicit MAC scheme for the compressible Navier-Stokes equations. Zbl 1412.35253
Gallouët, Thierry; Maltese, David; Novotny, Antonin
2019
Weak-strong uniqueness for a bi-fluid model for a mixture of non-interacting compressible fluids. Zbl 1428.35297
Jin, B. J.; Novotný, A.
2019
Compressible Navier-Stokes system with hard sphere pressure law and general inflow-outflow boundary conditions. Zbl 1414.35146
Choe, H. J.; Novotný, A.; Yang, M.
2019
Stationary solutions to the compressible Navier-Stokes system with general boundary conditions. Zbl 1405.35138
Feireisl, Eduard; Novotný, Antonín
2018
Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime. Zbl 1397.35171
Feireisl, Eduard; Lukáčová-Medviďová, Mária; Nečasová, Šárka; Novotný, Antonín; She, Bangwei
2018
Weak-strong uniqueness for the compressible Navier-Stokes equations with a hard-sphere pressure law. Zbl 1402.35222
Feireisl, Eduard; Lu, Yong; Novotný, Antonín
2018
Handbook of mathematical analysis in mechanics of viscous fluids. Zbl 1386.76001
2018
Multiscale analysis in the compressible rotating and heat conducting fluids. Zbl 1444.76126
Kwon, Young-Sam; Maltese, David; Novotný, Antonín
2018
Singular limits in thermodynamics of viscous fluids. 2nd edition. Zbl 1432.76002
Feireisl, Eduard; Novotný, Antonín
2017
Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains. Zbl 1360.35144
Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín
2017
Unconditional convergence and error estimates for bounded numerical solutions of the barotropic Navier-Stokes system. Zbl 1439.76067
Feireisl, Eduard; Hošek, Radim; Maltese, David; Novotný, Antonín
2017
Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem. Zbl 07313829
Gallouët, T.; Herbin, R.; Maltese, D.; Novotny, A.
2017
Existence of weak solutions for compressible Navier-Stokes equations with entropy transport. Zbl 1351.35106
Maltese, David; Michálek, Martin; Mucha, Piotr B.; Novotný, Antonin; Pokorný, Milan; Zatorska, Ewelina
2016
On singular limits arising in the scale analysis of stratified fluid flows. Zbl 1339.35210
Feireisl, Eduard; Klein, Rupert; Novotný, Antonín; Zatorska, Ewelina
2016
A convergent numerical method for the Navier-Stokes-Fourier system. Zbl 1433.76107
Feireisl, Eduard; Karper, Trygve; Novotný, Antonín
2016
Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations. Zbl 1433.76083
Gallouët, Thierry; Herbin, Raphaèle; Maltese, David; Novotny, Antonin
2016
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects. Zbl 1406.35258
Bella, Peter; Feireisl, Eduard; Lewicka, Marta; Novotný, Antonín
2016
On the motion of viscous, compressible, and heat-conducting liquids. Zbl 1346.76178
Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong
2016
Scale analysis of a hydrodynamic model of plasma. Zbl 1308.76339
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2015
Robustness of strong solutions to the compressible Navier-Stokes system. Zbl 1326.35234
Bella, Peter; Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2015
Dimension reduction for compressible viscous fluids. Zbl 1306.35093
Bella, Peter; Feireisl, Eduard; Novotný, Antonín
2014
Scale interactions in compressible rotating fluids. Zbl 1302.76200
Feireisl, Eduard; Novotný, Antonín
2014
Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains. Zbl 1284.35310
Feireisl, Eduard; Novotny, Antonin; Sun, Yongzhong
2014
Multiple scales and singular limits for compressible rotating fluids with general initial data. Zbl 1307.35220
Feireisl, Eduard; Novotný, Antonín
2014
Rotating compressible fluids under strong stratification. Zbl 1367.76063
Feireisl, Eduard; Lu, Yong; Novotný, Antonín
2014
Compressible Navier-Stokes equations on thin domains. Zbl 1308.35170
Maltese, David; Novotný, Antonín
2014
A regularity criterion for the weak solutions to the Navier-Stokes-Fourier system. Zbl 1293.35239
Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong
2014
Inviscid incompressible limits of strongly stratified fluids. Zbl 1304.35540
Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2014
Steady Navier-Stokes-Fourier system with slip boundary conditions. Zbl 1430.76409
Jesslé, Didier; Novotný, Antonín; Pokorný, Milan
2014
Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system. Zbl 1308.76231
Feireisl, Eduard; Novotný, Antonín
2014
The motion of a compressible viscous fluid around rotating body. Zbl 1302.35296
Kračmar, S.; Nečasová, Š.; Novotný, A.
2014
Inviscid incompressible limits of the full Navier-Stokes-Fourier system. Zbl 1291.35178
Feireisl, Eduard; Novotný, Antonín
2013
Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime. Zbl 1457.35028
Jesslé, Didier; Novotný, Antonín
2013
Compressible fluid flows driven by stochastic forcing. Zbl 1336.35374
Feireisl, Eduard; Maslowski, Bohdan; Novotný, Antonín
2013
Navier-Stokes-Fourier system on unbounded domains: weak solutions, relative entropies, weak-strong uniqueness. Zbl 1291.35183
Jesslé, Didier; Jin, Bum Ja; Novotný, Antonín
2013
Suitable weak solutions: From compressible viscous to incompressible inviscid fluid flows. Zbl 1287.35068
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2013
Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system. Zbl 1256.35054
Feireisl, Eduard; Jin, Bum Ja; Novotný, Antonín
2012
Weak-strong uniqueness property for the full Navier-Stokes-Fourier system. Zbl 1285.76034
Feireisl, Eduard; Novotný, Antonín
2012
A singular limit for compressible rotating fluids. Zbl 1263.76077
Feireisl, Eduard; Gallagher, Isabelle; Novotný, Antonín
2012
Multi-scale analysis of compressible viscous and rotating fluids. Zbl 1251.35069
Feireisl, Eduard; Gallagher, Isabelle; Gerard-Varet, David; Novotný, Antonín
2012
Time-periodic solutions to the full Navier-Stokes-Fourier system. Zbl 1287.76187
Feireisl, Eduard; Mucha, Piotr B.; Novotný, Antonín; Pokorný, Milan
2012
On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media. Zbl 1259.35157
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2012
Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids. Zbl 1248.35143
Feireisl, Eduard; Novotný, Antonín; Sun, Yongzhong
2011
Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations. Zbl 1273.76354
Novotný, A.; Pokorný, M.
2011
Weak and variational solutions to steady equations for compressible heat conducting fluids. Zbl 1432.76208
Novotný, Antonín; Pokorný, Milan
2011
Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification. Zbl 1429.76124
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
Weak solutions for steady compressible Navier-Stokes-Fourier system in two space dimensions. Zbl 1224.76108
Novotný, A.; Pokorný, M.
2011
Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations. Zbl 1306.35097
Novotný, Antonín; Růžička, Michael; Thäter, Gudrun
2011
On incompressible limits for the Navier-Stokes system on unbounded domains under slip boundary conditions. Zbl 1194.35304
Donatelli, Donatella; Feireisl, Eduard; Novotný, Antonín
2010
Low Mach number limit for the Navier-Stokes system on unbounded domains under strong stratification. Zbl 1270.35340
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2010
Homogenization and singular limits for the complete Navier-Stokes-Fourier system. Zbl 1193.35152
Feireisl, Eduard; Novotný, Antonín; Takahashi, Takéo
2010
On Lighthill’s acoustic analogy for low Mach number flows. Zbl 1204.35135
Layton, William; Novotný, Antonín
2010
Singular limits in thermodynamics of viscous fluids. Zbl 1176.35126
Feireisl, Eduard; Novotný, Antonín
2009
The Oberbeck-Boussinesq approximation as a singular limit of the full Navier-Stokes-Fourier system. Zbl 1214.76008
Feireisl, Eduard; Novotný, Antonin
2009
On the incompressible limit for the Navier-Stokes-Fourier system in domains with wavy bottoms. Zbl 1158.35072
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2008
On weak solutions of steady Navier-Stokes equations for monatomic gas. Zbl 1212.35345
Březina, J.; Novotný, A.
2008
Anelastic approximation as a singular limit of the compressible Navier-Stokes system. Zbl 1146.35073
Feireisl, Eduard; Málek, Josef; Novotný, Antonín; Straškraba, Ivan
2008
Navier’s slip and incompressible limits in domains with variable bottoms. Zbl 1159.35054
Feireisl, Eduard; Málek, Josef; Novotný, Antonín
2008
Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification. Zbl 1143.76562
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2008
The low Mach number limit for the full Navier-Stokes-Fourier system. Zbl 1147.76049
Feireisl, Eduard; Novotný, Antonín
2007
Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass. Zbl 1122.76076
Novotný, A.; Pokorný, M.
2007
Large time behaviour of flows of compressible, viscous, and heat conducting fluids. Zbl 1105.35075
Feireisl, Eduard; Novotný, Antoní
2006
On the existence of weak solutions to the steady compressible Navier-Stokes equations in domains with conical outlets. Zbl 1184.35244
Novo, S.; Novotný, A.
2006
On a simple model of reacting compressible flows arising in astrophysics. Zbl 1130.35108
Feireisl, Eduard; Novotný, Antonín
2005
A remark on the smoothness of bounded regions filled with a steady compressible and isentropic fluid. Zbl 1099.35088
Novo, Sébastien; Novotný, Antonín
2005
On a class of physically admissible variational solutions to the Navier-Stokes-Fourier system. Zbl 1081.35075
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2005
Steady compressible Navier-Stokes equations in domains with non-compact boundaries. Zbl 1075.35040
Novo, S.; Novotný, A.; Pokorný, M.
2005
Weak sequential stability of the set of admissible variational solutions to the Navier–Stokes–Fourier system. Zbl 1099.35078
Feireisl, Eduard; Novotný, Antonín
2005
Introduction to the mathematical theory of compressible flow. Zbl 1088.35051
Novotný, Antonín; Straškraba, Ivan
2004
On some approximation schemes for steady compressible viscous flow. Zbl 1036.76054
Bause, Markus; Heywood, John G.; Novotny, Antonin; Padula, Mariarosaria
2003
An interior regularity of a weak solution to the Navier-Stokes equations in dependence on one component of velocity. Zbl 1050.35073
Neustupa, Jirí; Novotný, Antonín; Penel, Patrick
2002
On the domain dependence of solutions to the compressible Navier-Stokes equations of a barotropic fluid. Zbl 0996.35051
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2002
On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable. Zbl 1050.35074
Novo, Sébastien; Novotný, Antonín
2002
Steady plane flow of viscoelastic fluid past an obstacle. Zbl 1090.35038
Novotný, Antonín; Pokorný, Milan
2002
On the existence of globally defined weak solutions to the Navier-Stokes equations. Zbl 0997.35043
Feireisl, Eduard; Novotný, Antonín; Petzeltová, Hana
2001
Estimates of Oseen kernels in weighted $$L^p$$ spaces. Zbl 0988.76021
Kračmar, Stanislav; Novotný, Antonín; Pokorný, Milan
2001
Convergence to equilibria for compressible Navier-Stokes equations with large data. Zbl 1038.76037
Novotný, Antonín; Straškraba, Ivan
2001
Some notes to the transport equation and to the Green formula. Zbl 1165.35427
Novotný, Antonín; Novo, Sébastien; Pokorný, Milan
2001
An iterative scheme for steady compressible viscous flow, modified to treat large potential forces. Zbl 1028.76041
Bause, Markus; Heywood, John G.; Novotný, Antonín; Padula, Mariarosaria
2001
Physically reasonable solutions to steady compressible Navier-Stokes equations in 2D exterior domains with nonzero velocity at infinity. Zbl 1103.76363
Dutto, Patrick; Novotny, Antonin
2001
Stabilization of weak solutions to compressible Navier-Stokes equations. Zbl 0970.35097
Novotný, Antonín; Straškraba, Ivan
2000
...and 33 more Documents
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### Cited by 886 Authors

 101 Feireisl, Eduard 71 Novotný, Antonín 51 Nečasová, Šárka 37 Tan, Zhong 32 Jiang, Song 32 Pokorný, Milan 30 Jiang, Fei 30 Kwon, Young-Sam 19 Ducomet, Bernard 18 Zatorska, Ewelina 17 Bresch, Didier 17 Donatelli, Donatella 17 Kreml, Ondřej 17 Li, Fucai 17 Wang, Dehua 17 Xin, Zhouping 16 Mucha, Piotr Bogusław 16 Zhu, Changjiang 15 Zhang, Zujin 14 Li, Jing 14 Wen, Huanyao 13 Fanelli, Francesco 13 Ju, Qiangchang 12 Ou, Yaobin 12 Piasecki, Tomasz 12 Sun, Yongzhong 12 Trivisa, Konstantina 11 Dou, Changsheng 11 Huang, Xiangdi 11 Mácha, Václav 11 Plotnikov, Pavel I. 11 Tang, Tong 11 Wang, Weiwei 11 Zhang, Jianwen 11 Zhong, Xin 10 Kračmar, Stanislav 10 Lukáčová-Medvid’ová, Mária 10 Prokudin, Dmitriĭ Alekseevich 9 Breit, Dominic 9 Fan, Jishan 9 Guo, Boling 9 Lu, Yong 9 Penel, Patrick 9 She, Bangwei 9 Vasseur, Alexis F. 9 Yu, Cheng 8 Březina, Jan 8 Deuring, Paul 8 Guo, Zhenhua 8 Gwiazda, Piotr 8 Hofmanová, Martina 8 Hu, Xianpeng 8 Jiu, Quansen 8 Wu, Guochun 7 Guillén González, Francisco M. 7 Jüngel, Ansgar 7 Kweon, Jae Ryong 7 Li, Jinkai 7 Málek, Josef 7 Mamontov, Aleksandr Evgen’evich 7 Sokołowski, Jan 7 Yuan, Hongjun 6 Amrouche, Chérif 6 Caggio, Matteo 6 Frehse, Jens 6 Hu, Yuxi 6 Kukavica, Igor 6 Liang, Zhilei 6 Marcati, Pierangelo 6 Neustupa, Jiří 6 Petzeltová, Hana 6 Qin, Yuming 6 Rodríguez-Bellido, Maria Angeles 6 Skalák, Zdeněk 6 Süli, Endre E. 6 Vodák, Rostislav 6 Wang, Shu 6 Wróblewska-Kamińska, Aneta 6 Zhao, Youyi 5 Bae, Hyeong-Ohk 5 Bella, Peter 5 Cai, Hong 5 Choe, Hi Jun 5 Danchin, Raphaël 5 Druet, Pierre-Étienne 5 Fang, Daoyuan 5 Gallouët, Thierry 5 Gao, Hongjun 5 Giovangigli, Vincent 5 Hamdache, Kamel 5 Huang, Bingkang 5 Kim, Hyunseok 5 Lasarzik, Robert 5 Li, Hailiang 5 Maltese, David 5 Mensah, Prince Romeo 5 Pereira, Marcone Corrêa 5 Razafison, Ulrich 5 Roubíček, Tomáš 5 Rueda-Gómez, Diego Armando ...and 786 more Authors
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### Cited in 163 Serials

 114 Journal of Differential Equations 78 Journal of Mathematical Fluid Mechanics 63 Journal of Mathematical Analysis and Applications 47 Archive for Rational Mechanics and Analysis 46 Nonlinear Analysis. Real World Applications 38 SIAM Journal on Mathematical Analysis 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal de Mathématiques Pures et Appliquées. Neuvième Série 31 Discrete and Continuous Dynamical Systems 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 Journal of Mathematical Physics 26 Mathematical Methods in the Applied Sciences 22 Communications in Partial Differential Equations 19 Acta Applicandae Mathematicae 18 Communications in Mathematical Physics 16 Nonlinearity 16 Journal of Evolution Equations 15 Applications of Mathematics 15 Boundary Value Problems 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Applied Mathematics Letters 11 Communications on Pure and Applied Analysis 10 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Numerische Mathematik 9 Calculus of Variations and Partial Differential Equations 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Science China. Mathematics 8 Applicable Analysis 8 Computers & Mathematics with Applications 8 Advances in Mathematics 8 NoDEA. Nonlinear Differential Equations and Applications 8 Acta Mathematica Scientia. Series B. (English Edition) 8 Journal of Hyperbolic Differential Equations 7 Journal of Functional Analysis 7 Quarterly of Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 6 Mathematische Annalen 6 SIAM Journal on Numerical Analysis 6 Chinese Annals of Mathematics. Series B 6 Journal of Nonlinear Science 6 Journal of Elliptic and Parabolic Equations 5 Czechoslovak Mathematical Journal 5 Siberian Mathematical Journal 5 Physica D 5 Journal of Dynamics and Differential Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Kinetic and Related Models 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Scientific Computing 4 Topological Methods in Nonlinear Analysis 4 Journal of Mathematical Sciences (New York) 4 Abstract and Applied Analysis 4 Journal of Inequalities and Applications 4 Discrete and Continuous Dynamical Systems. Series B 4 Analysis and Applications (Singapore) 4 Electronic Research Archive 3 Journal of Computational Physics 3 Journal of Fluid Mechanics 3 Applied Mathematics and Computation 3 Indiana University Mathematics Journal 3 Journal of the Mathematical Society of Japan 3 Mathematische Nachrichten 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Control and Optimization 3 Doklady Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Acta Mathematica Sinica. English Series 3 Advances in Mathematical Physics 3 Evolution Equations and Control Theory 2 Mathematics of Computation 2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 2 Applied Mathematics and Optimization 2 Manuscripta Mathematica 2 Rendiconti del Seminario Matematico della Università di Padova 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Bulletin of the Korean Mathematical Society 2 Applied Numerical Mathematics 2 Discrete & Computational Geometry 2 Asymptotic Analysis 2 Journal of Elasticity 2 Izvestiya: Mathematics 2 Mathematical Problems in Engineering 2 Communications in Contemporary Mathematics 2 Foundations of Computational Mathematics 2 Central European Journal of Mathematics 2 Multiscale Modeling & Simulation 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Proceedings of the Steklov Institute of Mathematics 2 Advances in Nonlinear Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 2 Open Mathematics 2 Séminaire Laurent Schwartz. EDP et Applications 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 AIMS Mathematics 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics ...and 63 more Serials
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### Cited in 35 Fields

 1,080 Partial differential equations (35-XX) 988 Fluid mechanics (76-XX) 65 Classical thermodynamics, heat transfer (80-XX) 57 Numerical analysis (65-XX) 32 Mechanics of deformable solids (74-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Biology and other natural sciences (92-XX) 17 Probability theory and stochastic processes (60-XX) 16 Geophysics (86-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Functional analysis (46-XX) 12 Optics, electromagnetic theory (78-XX) 12 Astronomy and astrophysics (85-XX) 10 Dynamical systems and ergodic theory (37-XX) 7 Systems theory; control (93-XX) 6 Mechanics of particles and systems (70-XX) 5 Integral equations (45-XX) 4 Ordinary differential equations (34-XX) 4 Operator theory (47-XX) 3 Real functions (26-XX) 3 Functions of a complex variable (30-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX)