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On singular limits arising in the scale analysis of stratified fluid flows

Eduard Feireisl , Rupert Klein , Antonin Novotny , Ewelina Zatorska
Mathematical Models and Methods in Applied Sciences, 2016, 26 (3), pp.419-443
Article dans une revue hal-01313107v1
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Compressible Navier-Stokes system with general inflow-outflow boundary data

Tongkeun Chang , B J Jin , Antonin Novotny
SIAM Journal on Mathematical Analysis, 2019, 51 (2), pp.1238-1475
Article dans une revue hal-01756728v1

Existence of renormalized weak solutions to the steady equations describing compressible fluids in barotropic regime

Didier Jesslé , Antonin Novotny
Journal de Mathématiques Pures et Appliquées, 2013, 99 (3), pp.280--296. ⟨10.1016/j.matpur.2012.06.016⟩
Article dans une revue hal-01284104v1

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

Existence and uniqueness of stationary solutions for viscous compressible heat-conductive fluid with great potential and small nonpotential forces

Antonin Novotny
International Conference on Differential Equations, Vol. 1, 2 (Barcelona, 1991), World Sci. Publ., River Edge, NJ, pp.795--799, 1993
Chapitre d'ouvrage hal-01282992v1

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

Physically reasonable solutions to steady compressible Navier-Stokes equations in 3D-exterior domains (v_∞\not=0)

Antonin Novotny , Mariarosaria Padula
Mathematische Annalen, 1997, 308 (3), pp.439--489. ⟨10.1007/s002080050084⟩
Article dans une revue istex hal-01283012v1

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
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Implicit MAC scheme for compressible Navier-Stokes equations: Low Mach asymptotic error estimates

Thierry Gallouët , Raphaele Herbin , David Maltese , Antonin Novotny
2017
Pré-publication, Document de travail hal-01462822v1

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

Steady compressible Navier-Stokes equations in domains with non-compact boundaries

S. Novo , Antonin Novotny , M. Pokorný
Mathematical Methods in the Applied Sciences, 2005, 28 (12), pp.1445--1479. ⟨10.1002/mma.623⟩
Article dans une revue istex hal-01284045v1

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

The low Mach number limit for the full Navier-Stokes-Fourier system

Eduard Feireisl , Antonin Novotny
Archive for Rational Mechanics and Analysis, 2007, 186 (1), pp.77--107. ⟨10.1007/s00205-007-0066-4⟩
Article dans une revue istex hal-01284037v1

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

Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids

Eduard Feireisl , Antonin Novotny , Yongzhong Sun
Indiana University Mathematics Journal, 2011, 60 (2), pp.611--631. ⟨10.1512/iumj.2011.60.4406⟩
Article dans une revue hal-01284070v1

On Lighthill's acoustic analogy for low Mach number flows

William Layton , Antonin Novotny
New directions in mathematical fluid mechanics, Birkhäuser Verlag, Basel, pp.247--279, 2010, Adv. Math. Fluid Mech
Chapitre d'ouvrage hal-01284075v1

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

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

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

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

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

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

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

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

Lecture notes on Navier-Stokes-Fourier system

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

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

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

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