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Multiscale analysis in the compressible rotating and heat conducting fluids

Antonin Novotny , Youngsam Kwon , David Maltese
Journal of Mathematical Fluid Mechanics, 2018, 20 (2), pp.421-444
Article dans une revue hal-01810439v1

Asymptotic preserving error estimates for numerical solutions of compressible Navier-Stokes equations in the low Mach number regime

Antonin Novotny , Eduard Feireisl , Maria Lukacova-Medvid'Ova , Sarka Necasova , Bangwei She
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2018, 16 (1), pp.150-183
Article dans une revue hal-01810441v1

Weak Solutions for Some Compressible Multicomponent Fluid Models

Antonin Novotny , Milan Pokorny
Archive for Rational Mechanics and Analysis, 2020, 235 (1), pp.355-403. ⟨10.1007/s00205-019-01424-2⟩
Article dans une revue hal-02953280v1

Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations

Antonin Novotny , Michael Røcircužička , Gudrun Thäter
Asymptotic Analysis, 2011, 75 (1-2), pp.93--123
Article dans une revue hal-01284069v1

Globally bounded trajectories for the barotropic Navier-Stokes system with general boundary conditions

Jan Brezina , Eduard Feireisl , Antonin Novotny
Communications in Partial Differential Equations, In press
Article dans une revue hal-02954156v1

On weak solutions to a dissipative Baer-Nunziato-type system for a mixture of two compressible haet conducting gases

Youngsam Kwon , Antonin Novotny , Arthur Cheng
Mathematical Models and Methods in Applied Sciences, 2020, 30 (8), pp.1517-1553
Article dans une revue hal-02954161v1

Stationary solutions of compressible Navier-Stokes equations with general boundary conditions

Antonin Novotny , Eduard Feireisl
Ann. IHP Analyse Nonlinéaire, 2018, 35, pp.1457--1475
Article dans une revue hal-01810445v1

Lecture notes on Navier-Stokes-Fourier system

Antonin Novotny
D. Bresch. Panorama et synthèses, SMF, 2016
Chapitre d'ouvrage hal-01810553v1

Viscous multipolar fluids. Physical background and mathematical theory

Antonin Novotny
Fortschritte der Physik / Progress of Physics, 1992, 40 (5), pp.445--517. ⟨10.1002/prop.2190400502⟩
Article dans une revue istex hal-01282973v1

Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system

Eduard Feireisl , Antonin Novotny
Applied Mathematics and Optimization, 2014, 70 (2), pp.279--307. ⟨10.1007/s00245-014-9243-7⟩
Article dans une revue hal-01284101v1

Existence and uniqueness of stationary solutions of equations of a compressible viscous heat-conducting fluid for large potential and small nonpotential external forces

Antonin Novotny , M. Padula
Sibirskij Matematičeskij Ž.., 1993, 34 (5), pp.120--146, iii, vii. ⟨10.1007/BF00971405⟩
Article dans une revue istex hal-01282990v1

On the steady transport equation

Antonin Novotny
Advanced topics in theoretical fluid mechanics (Paseky nad Jizerou, 1997), 392, Longman, Harlow, pp.118--146, 1998, Pitman Res. Notes Math. Ser
Chapitre d'ouvrage hal-01283007v1

Steady plane flow of viscoelastic fluid past an obstacle

Antonin Novotny , Milan Pokorny
Applications of Mathematics, 2002, 47 (3), pp.231--254. ⟨10.1023/A:1021745420954⟩
Article dans une revue hal-01284051v1

A remark on the well posedness of the problem of a steady flow of a viscous barotropic gas in a pipe

Antonin Novotny , M. Padula , P. Penel
Communications in Partial Differential Equations, 1996, 21 (1-2), pp.23--34. ⟨10.1080/03605309608821173⟩
Article dans une revue hal-01282983v1

Introduction to the mathematical theory of compressible flow

Antonin Novotny , I. Straškraba
Oxford University Press, Oxford, 27, pp.xx+506, 2004, Oxford Lecture Series in Mathematics and its Applications, 0-19-853084-6
Ouvrages hal-01284047v1

A convergent mixed numerical method for the Navier-Stokes-Fourier system.

Eduard Feireisl , Trygve Karper , Antonin Novotny
IMA Journal of Numerical Analysis, 2015, on line first
Article dans une revue hal-01313091v1

Discrete relative entropy for the compressible Stokes system

Thierry Gallouët , David Maltese , Antonin Novotny
Finite volumes for complex applications. VII. Methods and theoretical aspects, 77, Springer, Cham, pp.383--392, 2014, Springer Proc. Math. Stat., ⟨10.1007/978-3-319-05684-5_37⟩
Chapitre d'ouvrage hal-01284095v1

Dimension reduction for compressible viscous fluids

Peter Bella , Eduard Feireisl , Antonin Novotny
Acta Applicandae Mathematicae, 2014, 134, pp.111--121. ⟨10.1007/s10440-014-9872-5⟩
Article dans une revue hal-01284097v1

Global solution to the compressible isothermal multipolar fluid

J. Nečas , Antonin Novotny , M. Šilhavý
Journal of Mathematical Analysis and Applications, 1991, 162 (1), pp.223--241. ⟨10.1016/0022-247X(91)90189-7⟩
Article dans une revue hal-01282975v1

Note on decay of solutions of steady Navier-Stokes equations in 3-D exterior domains

Antonin Novotny , M. Padula
Differential and integral equations, 1995, 8 (7), pp.1833--1842
Article dans une revue hal-01282986v1

On the two-dimensional steady-state problem of a viscous gas in an exterior domain

G. P. Galdi , Antonin Novotny , M. Padula
Pacific Journal of Mathematics, 1997, 179 (1), pp.65--100. ⟨10.2140/pjm.1997.179.65⟩
Article dans une revue hal-01283011v1

Multi-scale analysis of compressible viscous and rotating fluids

Eduard Feireisl , Isabelle Gallagher , David Gérard-Varet , Antonin Novotny
Communications in Mathematical Physics, 2012, 314 (3), pp.641--670. ⟨10.1007/s00220-012-1533-9⟩
Article dans une revue hal-01284065v1
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Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data

Eduard Feireisl , Antonin Novotny
Communications in Partial Differential Equations, 2014, 39 (6), pp.1104-1127
Article dans une revue hal-00998356v1

Inviscid incompressible limits of strongly stratified fluids

Eduard Feireisl , Bum Ja Jin , Antonin Novotny
Asymptotic Analysis, 2014, 89 (3-4), pp.307--329
Article dans une revue hal-01284100v1

Singular limit of the equations of magnetohydrodynamics in the presence of strong stratification

Antonin Novotny , Michael Røcircužička , Gudrun Thäter
Mathematical Models and Methods in Applied Sciences, 2011, 21 (1), pp.115--147. ⟨10.1142/S0218202511005003⟩
Article dans une revue hal-01284072v1

Steady motions of viscoelastic fluids in three-dimensional exterior domains. Existence, uniqueness and asymptotic behaviour

Antonin Novotny , Adélia Sequeira , Juha H. Videman
Archive for Rational Mechanics and Analysis, 1999, 149 (1), pp.49--67. ⟨10.1007/s002050050167⟩
Article dans une revue istex hal-01283033v1

Error estimates for a numerical method for the compressible Navier-Stokes system on sufficiently smooth domains

Antonin Novotny , Eduard Feireisl , R. Hosek , David Maltese
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (1), pp.279-319
Article dans une revue hal-01810438v1

Compactness of steady compressible isentropic Navier-Stokes equations via the decomposition method (the whole 3-D space)

Antonin Novotny
Theory of the Navier-Stokes equations, 47, World Sci. Publ., River Edge, NJ, pp.106--120, 1998, Ser. Adv. Math. Appl. Sci., ⟨10.1142/9789812816740_0009⟩
Chapitre d'ouvrage hal-01283006v1

L^p-approach to steady flows of viscous compressible fluids in exterior domains

Antonin Novotny , Mariarosaria Padula
Archive for Rational Mechanics and Analysis, 1994, 126 (3), pp.243--297. ⟨10.1007/BF00375644⟩
Article dans une revue istex hal-01282988v1

Stabilization of weak solutions to compressible Navier-Stokes equations

Antonin Novotny , Ivan Straškraba
J. Math. Kyoto Univ., 2000, 40 (2), pp.217--245
Article dans une revue hal-01283029v1