The Citing articles tool gives a list of articles citing the current article. The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program . You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Raphaël Danchin
ESAIM: M2AN, 39 3 (2005) 459-475
Published online: 2005-06-15
This article has been cited by the following article(s):
71 articles
Low mach number limit of the one-dimensional full compressible Navier–Stokes–Korteweg equations
Yeping Li and Rong Yin Mathematische Annalen 394 (2) (2026) https://doi.org/10.1007/s00208-026-03329-4
An efficient second order ImEx scheme for the shallow water model in low Froude regime
Maria Kazolea, Ralph Lteif and Martin Parisot Computers & Fluids 299 106699 (2025) https://doi.org/10.1016/j.compfluid.2025.106699
Low Mach number limit for the global large solutions to the 2D Navier–Stokes–Korteweg system in the critical $$\widehat{L^p}$$ framework
Mikihiro Fujii and Yang Li Calculus of Variations and Partial Differential Equations 64 (1) (2025) https://doi.org/10.1007/s00526-024-02857-8
Zero‐Mach Limit of the Viscous Compressible Magnetohydrodynamic Flows Inside a Perfectly Conducting Wall for All Time
Qiangchang Ju, Zilai Li and Jianjun Xu Studies in Applied Mathematics 154 (5) (2025) https://doi.org/10.1111/sapm.70066
The low Mach number limit of non-isentropic magnetohydrodynamic equations with large temperature variations in bounded domains
Min Liang and Yaobin Ou Science China Mathematics 67 (4) 787 (2024) https://doi.org/10.1007/s11425-022-2127-3
Incompressible Limit of the Ericksen–Leslie Parabolic–Hyperbolic Liquid Crystal Model
Liang Guo, Ning Jiang, Fucai Li, Yi-Long Luo and Shaojun Tang Journal of Nonlinear Science 34 (1) (2024) https://doi.org/10.1007/s00332-023-09972-4
Low Mach number limit of the global solution to the compressible Navier–Stokes system for large data in the critical Besov space
Mikihiro Fujii Mathematische Annalen 388 (4) 4083 (2024) https://doi.org/10.1007/s00208-023-02621-x
Derivation of a Generalized Quasi-Geostrophic Approximation for Inviscid Flows in a Channel Domain: The Fast Waves Correction
Claude Bardos, Xin Liu and Edriss S. Titi Communications in Mathematical Physics 405 (7) (2024) https://doi.org/10.1007/s00220-024-05036-0
Incompressible limit for the free surface Navier-Stokes system
Nader Masmoudi, Frédéric Rousset and Changzhen Sun Annals of PDE 9 (1) (2023) https://doi.org/10.1007/s40818-023-00148-7
Asymptotic Stability of Global Solutions to Non-isentropic Navier–Stokes Equations
Qingliu Li, Dandan Ren, Xinfeng Liang and Qingkai Zhao Journal of Mathematics 2023 1 (2023) https://doi.org/10.1155/2023/7374955
Zero Mach number limit of the compressible primitive equations: Ill-prepared initial data
Xin Liu and Edriss S. Titi Journal of Differential Equations 356 1 (2023) https://doi.org/10.1016/j.jde.2023.01.031
Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains
Min Liang and Yaobin Ou Discrete and Continuous Dynamical Systems - B 28 (3) 1673 (2023) https://doi.org/10.3934/dcdsb.2022142
On the low Mach number limit for 2D Navier–Stokes–Korteweg systems
Lars Eric Hientzsch Mathematics in Engineering 5 (2) 1 (2022) https://doi.org/10.3934/mine.2023023
Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries
Nader Masmoudi, Frédéric Rousset and Changzhen Sun Journal de Mathématiques Pures et Appliquées 161 166 (2022) https://doi.org/10.1016/j.matpur.2022.03.004
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data
Yeping Li and Jie Liao Proceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2022) https://doi.org/10.1017/prm.2022.50
Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data
Kaijian Sha and Yeping Li Nonlinear Analysis: Real World Applications 62 103380 (2021) https://doi.org/10.1016/j.nonrwa.2021.103380
A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Shallow Water Equations Over Irregular Bottom Topography
Xin Liu SIAM Journal on Scientific Computing 42 (5) B1136 (2020) https://doi.org/10.1137/19M1262590
The Combined Incompressible Quasineutral Limit of the Stochastic Navier--Stokes--Poisson System
Donatella Donatelli and Prince Romeo Mensah SIAM Journal on Mathematical Analysis 52 (5) 5090 (2020) https://doi.org/10.1137/20M1338915
Zero Mach Number Limit of the Compressible Primitive Equations: Well-Prepared Initial Data
Xin Liu and Edriss S. Titi Archive for Rational Mechanics and Analysis 238 (2) 705 (2020) https://doi.org/10.1007/s00205-020-01553-z
Low Mach limit to one‐dimensional nonisentropic planar compressible magnetohydrodynamic equations
Xin Liu and Lijuan Wang Mathematical Methods in the Applied Sciences 43 (2) 580 (2020) https://doi.org/10.1002/mma.5909
Low Mach number limit for the compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition
Dandan Ren, Yunting Ding and Xinfeng Liang Boundary Value Problems 2020 (1) (2020) https://doi.org/10.1186/s13661-020-01455-9
Fundamental equations for primary fluid recovery from porous media
Yan Jin and Kang Ping Chen Journal of Fluid Mechanics 860 300 (2019) https://doi.org/10.1017/jfm.2018.874
Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension
Hamed Zakerzadeh ESAIM: Mathematical Modelling and Numerical Analysis 53 (3) 893 (2019) https://doi.org/10.1051/m2an/2019005
Low Mach number limit of the three-dimensional full compressible Navier–Stokes–Korteweg equations
Kaijian Sha and Yeping Li Zeitschrift für angewandte Mathematik und Physik 70 (6) (2019) https://doi.org/10.1007/s00033-019-1215-y
Approximation by an iterative method of a low‐Mach model with temperature dependent viscosity
Caterina Calgaro, Claire Colin, Emmanuel Creusé and Ezzeddine Zahrouni Mathematical Methods in the Applied Sciences 42 (1) 250 (2019) https://doi.org/10.1002/mma.5342
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Ning Jiang and Nader Masmoudi Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 2721 (2018) https://doi.org/10.1007/978-3-319-13344-7_69
Multiscale Analysis in the Compressible Rotating and Heat Conducting Fluids
Young-Sam Kwon, David Maltese and Antonín Novotný Journal of Mathematical Fluid Mechanics 20 (2) 421 (2018) https://doi.org/10.1007/s00021-017-0327-4
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Eduard Feireisl Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 2771 (2018) https://doi.org/10.1007/978-3-319-13344-7_70
An all-speed relaxation scheme for gases and compressible materials
Emanuela Abbate, Angelo Iollo and Gabriella Puppo Journal of Computational Physics 351 1 (2017) https://doi.org/10.1016/j.jcp.2017.08.052
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 49 (2017) https://doi.org/10.1007/978-3-319-63781-5_3
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 501 (2017) https://doi.org/10.1007/978-3-319-63781-5_12
Low Mach number limit of a compressible micropolar fluid model
Jingrui Su Nonlinear Analysis: Real World Applications 38 21 (2017) https://doi.org/10.1016/j.nonrwa.2017.04.005
Diffusive wave in the low Mach limit for compressible Navier–Stokes equations
Feimin Huang, Tian-Yi Wang and Yong Wang Advances in Mathematics 319 348 (2017) https://doi.org/10.1016/j.aim.2017.08.004
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 429 (2017) https://doi.org/10.1007/978-3-319-63781-5_11
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 369 (2017) https://doi.org/10.1007/978-3-319-63781-5_9
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 313 (2017) https://doi.org/10.1007/978-3-319-63781-5_8
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 263 (2017) https://doi.org/10.1007/978-3-319-63781-5_7
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 221 (2017) https://doi.org/10.1007/978-3-319-63781-5_6
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 167 (2017) https://doi.org/10.1007/978-3-319-63781-5_5
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 145 (2017) https://doi.org/10.1007/978-3-319-63781-5_4
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Ning Jiang and N. Masmoudi Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1 (2017) https://doi.org/10.1007/978-3-319-10151-4_69-1
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 21 (2017) https://doi.org/10.1007/978-3-319-63781-5_2
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 409 (2017) https://doi.org/10.1007/978-3-319-63781-5_10
Singular Limits in Thermodynamics of Viscous Fluids
Eduard Feireisl and Antonín Novotný Advances in Mathematical Fluid Mechanics, Singular Limits in Thermodynamics of Viscous Fluids 1 (2017) https://doi.org/10.1007/978-3-319-63781-5_1
Eduard Feireisl 1 (2016) https://doi.org/10.1007/978-3-319-10151-4_70-1
Incompressible limit of all-time solutions to 3-D full Navier–Stokes equations for perfect gas with well-prepared initial condition
Dandan Ren and Yaobin Ou Zeitschrift für angewandte Mathematik und Physik 67 (4) (2016) https://doi.org/10.1007/s00033-016-0698-z
On the low Mach number limit of compressible flows in exterior moving domains
Eduard Feireisl, Ondřej Kreml, Václav Mácha and Šárka Nečasová Journal of Evolution Equations 16 (3) 705 (2016) https://doi.org/10.1007/s00028-016-0338-2
Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations
Song Jiang, Qiangchang Ju and Fucai Li SIAM Journal on Mathematical Analysis 48 (1) 302 (2016) https://doi.org/10.1137/15M102842X
Incompressible limit of the non-isentropic magnetohydrodynamic equations in bounded domains
Shu WANG and Zili XU Acta Mathematica Scientia 35 (3) 719 (2015) https://doi.org/10.1016/S0252-9602(15)30017-5
Low Mach number limit of non-isentropic magnetohydrodynamic equations in a bounded domain
Shu Wang and Zili Xu Nonlinear Analysis: Theory, Methods & Applications 105 102 (2014) https://doi.org/10.1016/j.na.2014.01.008
Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
Eduard Feireisl and AntonÍn Novotný Communications in Partial Differential Equations 39 (6) 1104 (2014) https://doi.org/10.1080/03605302.2013.856917
Inviscid incompressible limits on expanding domains
Eduard Feireisl, Šárka Nečasová and Yongzhong Sun Nonlinearity 27 (10) 2465 (2014) https://doi.org/10.1088/0951-7715/27/10/2465
Low Mach number limit for the full compressible magnetohydrodynamic equations with general initial data
Song Jiang, Qiangchang Ju, Fucai Li and Zhouping Xin Advances in Mathematics 259 384 (2014) https://doi.org/10.1016/j.aim.2014.03.022
Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in
unbounded domains
Eduard Feireisl, Antonin Novotny and Yongzhong Sun Discrete & Continuous Dynamical Systems - A 34 (1) 121 (2014) https://doi.org/10.3934/dcds.2014.34.121
Global existence and the low Mach number limit for the compressible magnetohydrodynamic equations in a bounded domain with perfectly conducting boundary
Changsheng Dou, Song Jiang and Qiangchang Ju Zeitschrift für angewandte Mathematik und Physik 64 (6) 1661 (2013) https://doi.org/10.1007/s00033-013-0311-7
An Asymptotic-Preserving all-speed scheme for the Euler and Navier–Stokes equations
Floraine Cordier, Pierre Degond and Anela Kumbaro Journal of Computational Physics 231 (17) 5685 (2012) https://doi.org/10.1016/j.jcp.2012.04.025
Local Decay of Acoustic Waves in the Low Mach Number Limits on General Unbounded Domains Under Slip Boundary Conditions
Eduard Feireisl Communications in Partial Differential Equations 36 (10) 1778 (2011) https://doi.org/10.1080/03605302.2011.602168
Nonlinear Conservation Laws and Applications
Eduard Feireisl The IMA Volumes in Mathematics and its Applications, Nonlinear Conservation Laws and Applications 153 73 (2011) https://doi.org/10.1007/978-1-4419-9554-4_3
SINGULAR LIMIT OF THE EQUATIONS OF MAGNETOHYDRODYNAMICS IN THE PRESENCE OF STRONG STRATIFICATION
ANTONÍN NOVOTNÝ, MICHAEL RŮŽIČKA and GUDRUN THÄTER Mathematical Models and Methods in Applied Sciences 21 (01) 115 (2011) https://doi.org/10.1142/S0218202511005003
Incompressible limit of the non-isentropic Navier–Stokes equations with well-prepared initial data in three-dimensional bounded domains
Song Jiang and Yaobin Ou Journal de Mathématiques Pures et Appliquées 96 (1) 1 (2011) https://doi.org/10.1016/j.matpur.2011.01.004
Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems
Eduard Feireisl Milan Journal of Mathematics 78 (2) 523 (2010) https://doi.org/10.1007/s00032-010-0128-1
New Directions in Mathematical Fluid Mechanics
Eduard Feireisl and Antonín Novotný New Directions in Mathematical Fluid Mechanics 123 (2009) https://doi.org/10.1007/978-3-0346-0152-8_8
Anelastic Approximation as a Singular Limit of the Compressible Navier–Stokes System
Eduard Feireisl, Josef Málek, Antonín Novotný and Ivan Straškraba Communications in Partial Differential Equations 33 (1) 157 (2008) https://doi.org/10.1080/03605300601088799
Layered incompressible fluid flow equations in the limit of low Mach number and strong stratification
Eduard Feireisl, Antonín Novotný and Hana Petzeltová Physica D: Nonlinear Phenomena 237 (10-12) 1466 (2008) https://doi.org/10.1016/j.physd.2008.03.027
ON THE INCOMPRESSIBLE LIMIT FOR THE NAVIER–STOKES–FOURIER SYSTEM IN DOMAINS WITH WAVY BOTTOMS
EDUARD FEIREISL, ANTONÍN NOVOTNÝ and HANA PETZELTOVÁ Mathematical Models and Methods in Applied Sciences 18 (02) 291 (2008) https://doi.org/10.1142/S0218202508002681
Handbook of Differential Equations: Evolutionary Equations
E. Feireisl Handbook of Differential Equations: Evolutionary Equations 4 57 (2008) https://doi.org/10.1016/S1874-5717(08)00002-9
Handbook of Differential Equations: Evolutionary Equations
Nader Masmoudi Handbook of Differential Equations: Evolutionary Equations 3 195 (2007) https://doi.org/10.1016/S1874-5717(07)80006-5
Rigorous derivation of the anelastic approximation
Nader Masmoudi Journal de Mathématiques Pures et Appliquées 88 (3) 230 (2007) https://doi.org/10.1016/j.matpur.2007.06.001
Асимптотический анализ полной системы Навье - Стокса - Фурье: от течений сжимаемой к течениям несжимаемой жидкости
Eduard Feireisl and Эдуард Файрайзл Успехи математических наук 62 (3) 169 (2007) https://doi.org/10.4213/rm6803
Analysis and Simulation of Fluid Dynamics
Thomas Alazard Analysis and Simulation of Fluid Dynamics 1 (2006) https://doi.org/10.1007/978-3-7643-7742-7_1
Low Mach Number Flows and Combustion
Thomas Alazard SIAM Journal on Mathematical Analysis 38 (4) 1186 (2006) https://doi.org/10.1137/050644100