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Error estimates for a numerical approximation to the compressible barotropic Navier-Stokes equations

 Thierry Gallouët , Raphaèle Herbin , David Maltese , Antonin Novotny
IMA Journal of Numerical Analysis, 2016, 36 (2), pp.543-592. ⟨10.1093/imanum/drv028⟩
Article dans une revue hal-01108579v1

On weak solutions of steady Navier-Stokes equations for monatomic gas

 J. Březina , Antonin Novotny
Comment. Math. Univ. Carolin., 2008, 49 (4), pp.611--632
Article dans une revue hal-01284079v1

Convergence to equilibria for compressible Navier-Stokes equations with large data

 Antonin Novotny , Ivan Straškraba
Annali di Matematica Pura ed Applicata, 2001, 179, pp.263--287. ⟨10.1007/BF02505958⟩
Article dans une revue istex hal-01284053v1

Suitable weak solutions: from compressible viscous to incompressible inviscid fluid flows

 Eduard Feireisl , Antonin Novotny , Hana Petzeltová
Mathematische Annalen, 2013, 356 (2), pp.683--702. ⟨10.1007/s00208-012-0862-5⟩
Article dans une revue istex hal-01284106v1

Stabilization to equilibria of compressible Navier-Stokes equations with infinite mass

 Antonin Novotny , M. Pokorný
Computers & Mathematics with Applications, 2007, 53 (3-4), pp.437--451. ⟨10.1016/j.camwa.2006.02.044⟩
Article dans une revue hal-01284036v1
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Multi-scale analysis of compressible viscous and rotating fluids

 Eduard Feireisl , Isabelle Gallagher , David Gérard-Varet , Antonin Novotny
SIAM Journal on Mathematical Analysis, 2012
Article dans une revue hal-00586234v1

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

 David Maltese , Antonin Novotny
IMA Journal of Numerical Analysis, In press
Article dans une revue hal-02954151v1
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Error Estimates for the implicit MAC scheme for the compressible Navier-Stokes equations

 Thierry Gallouët , David Maltese , Antonin Novotny
Numerische Mathematik, 2019, 141 (2), pp.495-567
Article dans une revue hal-02078390v1

Small Péclet number approximation as a singular limit of full Navier-Stokes-Fourier system with radiation

 Eduard Feireisl , Antonin Novotny
New directions in mathematical fluid mechanics, Birkhäuser Verlag, Basel, pp.123--152, 2010, Adv. Math. Fluid Mech
Chapitre d'ouvrage hal-01284074v1

Weak sequential stability of the set of admissible variational solutions to the Navier-Stokes-Fourier system

 Eduard Feireisl , Antonin Novotny
SIAM Journal on Mathematical Analysis, 2005, 37 (2), pp.619--650 (electronic). ⟨10.1137/04061458X⟩
Article dans une revue hal-01284043v1

Navier's slip and incompressible limits in domains with variable bottoms

 Eduard Feireisl , Josef Malek , Antonin Novotny
Discrete and Continuous Dynamical Systems - Series S, 2008, 1 (3), pp.427--460. ⟨10.3934/dcdss.2008.1.427⟩
Article dans une revue hal-01284035v1

Convergence of the marker-and-cell scheme for the semi-stationary compressible Stokes problem

 Thierry Gallouët , Raphaèle Herbin , David Maltese , Antonin Novotny
6th International Conference on Approximation Methods and Numerical Modeling in Environment and Natural Resources (MAMERN), Univ Pau; CNRS; Univ Mohammed I; CNRST; Univ Granada; Int Assoc Math & Comp Simulat, Jun 2015, Pau, France. pp.325 - 349, ⟨10.1016/j.matcom.2016.10.003⟩
Communication dans un congrès hal-01620080v1

Estimates of Oseen kernels in weighted L^p spaces

 Milan Pokorny , Stanislav Kračmar , Antonin Novotny
Journal of the Mathematical Society of Japan, 2001, 53 (1), pp.59--111. ⟨10.2969/jmsj/05310059⟩
Article dans une revue hal-01283027v1

On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media

 Donatella Donatelli , Eduard Feireisl , Antonin Novotny
Journal of Nonlinear Science, 2012, 22 (6), pp.985--1012. ⟨10.1007/s00332-012-9134-5⟩
Article dans une revue hal-01284108v1

Uniqueness of solutions to the systems for thermoelastic bodies with strong viscosity

 J. Nečas , Antonin Novotny , V. Šverák
Mathematical News / Mathematische Nachrichten, 1990, 149, pp.319--324. ⟨10.1002/mana.19901490124⟩
Article dans une revue istex hal-01282967v1

Some qualitative properties of the viscous compressible heat conductive multipolar fluid

 J. Nečas , Antonin Novotny
Communications in Partial Differential Equations, 1991, 16 (2-3), pp.197--220. ⟨10.1080/03605309108820757⟩
Article dans une revue hal-01282966v1

An iterative scheme for steady compressible viscous flow, modified to treat large potential forces

 Markus Bause , John G. Heywood , Antonin Novotny , Mariarosaria Padula
Mathematical fluid mechanics, Birkhäuser, Basel, pp.27--45, 2001, Adv. Math. Fluid Mech
Chapitre d'ouvrage hal-01283026v1

A rigorous justification of the Euler and Navier-Stokes equations with geometric effects

 Antonin Novotny , Peter Bella , Eduard Feireisl , Marta Lewicka
SIAM Journal on Mathematical Analysis, 2016, 48 (6), pp. 3907-3930
Article dans une revue hal-01810432v1

Global solution to the ideal compressible heat conductive multipolar fluid

 Jindřich Nečas , Antonin Novotny , Miroslav Šilhavý
Comment. Math. Univ. Carolin., 1989, 30 (3), pp.551--564
Article dans une revue hal-01282968v1

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

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
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