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:
Steven Schochet
ESAIM: M2AN, 39 3 (2005) 441-458
Published online: 2005-06-15
This article has been cited by the following article(s):
Rigorous derivation of the anelastic approximation
Nader Masmoudi
Journal de Mathématiques Pures et Appliquées 88 (3) 230 (2007)
DOI: 10.1016/j.matpur.2007.06.001
See this article
Incompressible Limit of the Compressible Q-tensor System of Liquid Crystals
Yi-xuan Wang
Acta Mathematicae Applicatae Sinica, English Series 39 (1) 179 (2023)
DOI: 10.1007/s10255-023-1033-z
See this article
Accurate steam-water equation of state for two-phase flow LMNC model with phase transition
Stéphane Dellacherie, Gloria Faccanoni, Bérénice Grec and Yohan Penel
Applied Mathematical Modelling 65 207 (2019)
DOI: 10.1016/j.apm.2018.07.028
See this article
Incompressible Limits and Propagation of Acoustic Waves in Large Domains with Boundaries
Eduard Feireisl
Communications in Mathematical Physics 294 (1) 73 (2010)
DOI: 10.1007/s00220-009-0954-6
See this article
Continuous Dependence of Entropy Solutions to the Euler Equations on the Adiabatic Exponent and Mach Number
Gui-Qiang Chen, Cleopatra Christoforou and Yongqian Zhang
Archive for Rational Mechanics and Analysis 189 (1) 97 (2008)
DOI: 10.1007/s00205-007-0098-9
See this article
New Directions in Mathematical Fluid Mechanics
Eduard Feireisl and Antonín Novotný
New Directions in Mathematical Fluid Mechanics 123 (2009)
DOI: 10.1007/978-3-0346-0152-8_8
See this article
Thomas Alazard
1 (2006)
DOI: 10.1007/978-3-7643-7742-7_1
See this article
Handbook of Differential Equations: Evolutionary Equations
Nader Masmoudi
Handbook of Differential Equations: Evolutionary Equations 3 195 (2007)
DOI: 10.1016/S1874-5717(07)80006-5
See this article
Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains
Yongzhong Sun, Antonin Novotny and Eduard Feireisl
Discrete and Continuous Dynamical Systems 34 (1) 121 (2013)
DOI: 10.3934/dcds.2014.34.121
See this article
Incompressible Type Limit Analysis of a Hydrodynamic Model for Charge-Carrier Transport
Li Chen, Donatella Donatelli and Pierangelo Marcati
SIAM Journal on Mathematical Analysis 45 (3) 915 (2013)
DOI: 10.1137/120876630
See this article
Handbook of Differential Equations: Evolutionary Equations
E. Feireisl
Handbook of Differential Equations: Evolutionary Equations 4 57 (2008)
DOI: 10.1016/S1874-5717(08)00002-9
See this article
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)
DOI: 10.1080/03605300601088799
See this article
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)
DOI: 10.1016/j.jcp.2012.04.025
See this article
Scale-Dependent Models for Atmospheric Flows
Rupert Klein
Annual Review of Fluid Mechanics 42 (1) 249 (2010)
DOI: 10.1146/annurev-fluid-121108-145537
See this article
Low Mach Number Flows and Combustion
Thomas Alazard
SIAM Journal on Mathematical Analysis 38 (4) 1186 (2006)
DOI: 10.1137/050644100
See this article
Handbook of Mathematical Fluid Dynamics
Steven Schochet
Handbook of Mathematical Fluid Dynamics 4 123 (2007)
DOI: 10.1016/S1874-5792(07)80007-3
See this article
Handbook of Differential Equations - Evolutionary Equations
Didier Bresch
Handbook of Differential Equations: Evolutionary Equations, Handbook of Differential Equations - Evolutionary Equations 5 1 (2009)
DOI: 10.1016/S1874-5717(08)00208-9
See this article
Mathematical Models of Incompressible Fluids as Singular Limits of Complete Fluid Systems
Eduard Feireisl
Milan Journal of Mathematics 78 (2) 523 (2010)
DOI: 10.1007/s00032-010-0128-1
See this article
Anelastic Limits for Euler-Type Systems
D. Bresch and G. Metivier
Applied Mathematics Research eXpress (2010)
DOI: 10.1093/amrx/abq012
See this article
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)
DOI: 10.1080/03605302.2011.602168
See this article
On the Vanishing Electron-Mass Limit in Plasma Hydrodynamics in Unbounded Media
Donatella Donatelli, Eduard Feireisl and Antonín Novotný
Journal of Nonlinear Science 22 (6) 985 (2012)
DOI: 10.1007/s00332-012-9134-5
See this article
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)
DOI: 10.4213/rm6803
See this article
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)
DOI: 10.1016/j.matpur.2011.01.004
See this article
Incompressible Limit for the Compressible Flow of Liquid Crystals
Dehua Wang and Cheng Yu
Journal of Mathematical Fluid Mechanics 16 (4) 771 (2014)
DOI: 10.1007/s00021-014-0185-2
See this article
The Low Mach Number Limit for the Full Navier–Stokes–Fourier System
Eduard Feireisl and Antonín Novotný
Archive for Rational Mechanics and Analysis 186 (1) 77 (2007)
DOI: 10.1007/s00205-007-0066-4
See this article
Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
Xianpeng Hu and Dehua Wang
SIAM Journal on Mathematical Analysis 41 (3) 1272 (2009)
DOI: 10.1137/080723983
See this article
Multiple spatial scales in engineering and atmospheric low Mach number flows
Rupert Klein
ESAIM: Mathematical Modelling and Numerical Analysis 39 (3) 537 (2005)
DOI: 10.1051/m2an:2005022
See this article
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Eduard Feireisl
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 1 (2016)
DOI: 10.1007/978-3-319-10151-4_70-1
See this article
Incompressible Limits of Fluids Excited by Moving Boundaries
Eduard Feireisl, Ondřej Kreml, Šárka Nečasová, Jiří Neustupa and Jan Stebel
SIAM Journal on Mathematical Analysis 46 (2) 1456 (2014)
DOI: 10.1137/130916916
See this article
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)
DOI: 10.1007/978-3-319-10151-4_69-1
See this article
Asymptotic and numerical analysis of an inviscid bounded vortex flow at low Mach number
Anne Cadiou, Lionel Le Penven and Marc Buffat
Journal of Computational Physics 227 (18) 8268 (2008)
DOI: 10.1016/j.jcp.2008.05.024
See this article
A coupling between a 1D compressible-incompressible limit and the 1D p-system in the non smooth case
Graziano Guerra and Veronika Schleper
Bulletin of the Brazilian Mathematical Society, New Series 47 (1) 381 (2016)
DOI: 10.1007/s00574-016-0146-x
See this article
A coupling between a non--linear 1D compressible--incompressible limit and the 1D $p$--system in the non smooth case
Rinaldo M. Colombo and Graziano Guerra
Networks and Heterogeneous Media 11 (2) 313 (2016)
DOI: 10.3934/nhm.2016.11.313
See this article
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)
DOI: 10.1080/03605302.2013.856917
See this article
Moderately Fast Three-Scale Singular Limits
Steven Schochet and Xin Xu
SIAM Journal on Mathematical Analysis 52 (4) 3444 (2020)
DOI: 10.1137/19M1287109
See this article
Fundamental equations for primary fluid recovery from porous media
Yan Jin and Kang Ping Chen
Journal of Fluid Mechanics 860 300 (2019)
DOI: 10.1017/jfm.2018.874
See this article
Edwige Godlewski and Pierre-Arnaud Raviart
118 425 (2021)
DOI: 10.1007/978-1-0716-1344-3_5
See this article
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)
DOI: 10.1007/s00028-016-0338-2
See this article
Sound Production by Vorticity Fluctuations in a Stagnation Point Flow
K. Joseph George and R. I. Sujith
International Journal of Aeroacoustics 11 (5-6) 581 (2012)
DOI: 10.1260/1475-472X.11.5-6.581
See this article
Low Mach number limit of steady flows through infinite multidimensional largely-open nozzles
Tian-Yi Wang and Jiaojiao Zhang
Journal of Differential Equations (2020)
DOI: 10.1016/j.jde.2020.01.023
See this article
Inviscid incompressible limits on expanding domains
Eduard Feireisl, Šárka Nečasová and Yongzhong Sun
Nonlinearity 27 (10) 2465 (2014)
DOI: 10.1088/0951-7715/27/10/2465
See this article
BV Solutions to 1D isentropic Euler equations in the zero mach number limit
Rinaldo M. Colombo and Graziano Guerra
Journal of Hyperbolic Differential Equations 13 (04) 685 (2016)
DOI: 10.1142/S0219891616500181
See this article
Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues
H. Guillard and B. Nkonga
Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues 18 203 (2017)
DOI: 10.1016/bs.hna.2016.09.002
See this article
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)
DOI: 10.1142/S0218202511005003
See this article
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids
Eduard Feireisl
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids 2771 (2018)
DOI: 10.1007/978-3-319-13344-7_70
See this article
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)
DOI: 10.1007/978-3-319-13344-7_69
See this article
The Compressible to Incompressible Limit of One Dimensional Euler Equations: The Non Smooth Case
Rinaldo M. Colombo, Graziano Guerra and Veronika Schleper
Archive for Rational Mechanics and Analysis 219 (2) 701 (2016)
DOI: 10.1007/s00205-015-0904-8
See this article
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)
DOI: 10.1007/s00021-017-0327-4
See this article
Mach limits in analytic spaces
Juhi Jang, Igor Kukavica and Linfeng Li
Journal of Differential Equations 299 284 (2021)
DOI: 10.1016/j.jde.2021.07.014
See this article
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
Andrea Thomann, Gabriella Puppo and Christian Klingenberg
Journal of Computational Physics 420 109723 (2020)
DOI: 10.1016/j.jcp.2020.109723
See this article
Asymptotic error analysis of an IMEX Runge–Kutta method
Klaus Kaiser and Jochen Schütz
Journal of Computational and Applied Mathematics 343 139 (2018)
DOI: 10.1016/j.cam.2018.04.044
See this article
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)
DOI: 10.1142/S0218202508002681
See this article
STABILITY WITH RESPECT TO DOMAIN OF THE LOW MACH NUMBER LIMIT OF COMPRESSIBLE VISCOUS FLUIDS
EDUARD FEIREISL, TRYGVE KARPER, ONDŘEJ KREML and JAN STEBEL
Mathematical Models and Methods in Applied Sciences 23 (13) 2465 (2013)
DOI: 10.1142/S0218202513500371
See this article
On a singular limit for the stratified compressible Euler system
Eduard Feireisl and Tong Tang
Asymptotic Analysis 114 (1-2) 59 (2019)
DOI: 10.3233/ASY-191518
See this article
A pressure based method for vaporizing compressible two-phase flows with interface capturing approach
B. Duret, R. Canu, J. Reveillon and F.X. Demoulin
International Journal of Multiphase Flow 108 42 (2018)
DOI: 10.1016/j.ijmultiphaseflow.2018.06.022
See this article
Singular Limits and Convergence Rates of Compressible Euler and Rotating Shallow Water Equations
Bin Cheng
SIAM Journal on Mathematical Analysis 44 (2) 1050 (2012)
DOI: 10.1137/11085147X
See this article
Coupling strategies for compressible-low Mach number flows
Yohan Penel, Stephane Dellacherie and Bruno Després
Mathematical Models and Methods in Applied Sciences 25 (06) 1045 (2015)
DOI: 10.1142/S021820251550027X
See this article
Rigorous justification of the Favrie–Gavrilyuk approximation to the Serre–Green–Naghdi model
Vincent Duchêne
Nonlinearity 32 (10) 3772 (2019)
DOI: 10.1088/1361-6544/ab22fb
See this article
Low Mach number limit for the quantum hydrodynamics system
Donatella Donatelli and Pierangelo Marcati
Research in the Mathematical Sciences 3 (1) (2016)
DOI: 10.1186/s40687-016-0063-z
See this article
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)
DOI: 10.1137/20M1338915
See this article
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)
DOI: 10.1137/19M1262590
See this article
Efficient high-order discontinuous Galerkin computations of low Mach number flows
Jonas Zeifang, Klaus Kaiser, Andrea Beck, Jochen Schütz and Claus-Dieter Munz
Communications in Applied Mathematics and Computational Science 13 (2) 243 (2018)
DOI: 10.2140/camcos.2018.13.243
See this article
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)
DOI: 10.1007/s00033-019-1215-y
See this article
Asymptotics, structure, and integration of sound-proof atmospheric flow equations
Rupert Klein
Theoretical and Computational Fluid Dynamics 23 (3) 161 (2009)
DOI: 10.1007/s00162-009-0104-y
See this article
Hyperbolic Problems: Theory, Numerics, Applications
E. Feireisl
Hyperbolic Problems: Theory, Numerics, Applications 511 (2008)
DOI: 10.1007/978-3-540-75712-2_49
See this article
New Directions in Mathematical Fluid Mechanics
Didier Bresch, Benoît Desjardins and Emmanuel Grenier
New Directions in Mathematical Fluid Mechanics 91 (2009)
DOI: 10.1007/978-3-0346-0152-8_5
See this article
New Directions in Mathematical Fluid Mechanics
William Layton and Antonín Novotný
New Directions in Mathematical Fluid Mechanics 247 (2009)
DOI: 10.1007/978-3-0346-0152-8_14
See this article
Handbook of Geomathematics
Rupert Klein
Handbook of Geomathematics 625 (2010)
DOI: 10.1007/978-3-642-01546-5_20
See this article
Eduard Feireisl
153 73 (2011)
DOI: 10.1007/978-1-4419-9554-4_3
See this article
On the Low Mach Number Limit for the Compressible Euler System
Eduard Feireisl, Christian Klingenberg and Simon Markfelder
SIAM Journal on Mathematical Analysis 51 (2) 1496 (2019)
DOI: 10.1137/17M1131799
See this article
Rupert Klein
1 (2014)
DOI: 10.1007/978-3-642-27793-1_20-3
See this article
On a Singular Limit for the Compressible Rotating Euler System
Šárka Nečasová and Tong Tang
Journal of Mathematical Fluid Mechanics 22 (3) (2020)
DOI: 10.1007/s00021-020-00504-8
See this article
Low Mach number limit of multidimensional steady flows on the airfoil problem
Mingjie Li, Tian-Yi Wang and Wei Xiang
Calculus of Variations and Partial Differential Equations 59 (2) (2020)
DOI: 10.1007/s00526-020-1720-z
See this article
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)
DOI: 10.1051/m2an/2019005
See this article
Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations
Huaqiao Wang
Journal of Dynamics and Differential Equations (2021)
DOI: 10.1007/s10884-021-10067-5
See this article
The effect of two distinct fast time scales in the rotating, stratified Boussinesq equations: variations from quasi-geostrophy
Jared P. Whitehead, Terry Haut and Beth A. Wingate
Theoretical and Computational Fluid Dynamics 32 (6) 713 (2018)
DOI: 10.1007/s00162-018-0472-2
See this article
Fast-Wave Averaging with Phase Changes: Asymptotics and Application to Moist Atmospheric Dynamics
Yeyu Zhang, Leslie M. Smith and Samuel N. Stechmann
Journal of Nonlinear Science 31 (2) (2021)
DOI: 10.1007/s00332-021-09697-2
See this article
Chellappan Balaji and Satyanarayanan Chakravarthy
(2010)
DOI: 10.2514/6.2010-26
See this article
Tony Saad, Mokbel Karam and James C. Sutherland
(2018)
DOI: 10.2514/6.2018-4266
See this article
Domain sensitivity in singular limits of compressible viscous fluids
Eduard Feireisl
Séminaire Laurent Schwartz — EDP et applications 1 (2014)
DOI: 10.5802/slsedp.9
See this article
Effects of clouds and phase changes on fast-wave averaging: a numerical assessment
Yeyu Zhang, Leslie M. Smith and Samuel N. Stechmann
Journal of Fluid Mechanics 920 (2021)
DOI: 10.1017/jfm.2021.427
See this article
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations
Václav Kučera, Mária Lukáčová-Medvid’ová, Sebastian Noelle and Jochen Schütz
Numerische Mathematik 150 (1) 79 (2022)
DOI: 10.1007/s00211-021-01240-5
See this article
Low stratification of a heat-conducting fluid in a time-dependent domain
Ondřej Kreml, Václav Mácha, Šárka Nečasová and Aneta Wróblewska-Kamińska
Journal of Evolution Equations 21 (3) 3421 (2021)
DOI: 10.1007/s00028-020-00653-3
See this article
Rupert Klein
1 (2013)
DOI: 10.1007/978-3-642-27793-1_20-2
See this article
Entropy-stable schemes in the low-Mach-number regime: Flux-preconditioning, entropy breakdowns, and entropy transfers
Ayoub Gouasmi, Scott M. Murman and Karthik Duraisamy
Journal of Computational Physics 456 111036 (2022)
DOI: 10.1016/j.jcp.2022.111036
See this article
Matthias Münch and Rupert Klein
189 (2012)
DOI: 10.1002/9783527645725.ch12
See this article
Rupert Klein
1127 (2015)
DOI: 10.1007/978-3-642-54551-1_20
See this article
Low Mach Number Limit and Far Field Convergence Rates of Irrotational Flows in Multidimensional Nozzles with an Obstacle Inside
Lei Ma, Tian-Yi Wang and Chunjing Xie
SIAM Journal on Mathematical Analysis 55 (1) 36 (2023)
DOI: 10.1137/22M1472553
See this article
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)
DOI: 10.1016/j.jde.2023.01.031
See this article
Mach limits in analytic spaces on exterior domains
Juhi Jang, Igor Kukavica and Linfeng Li
Discrete and Continuous Dynamical Systems 42 (8) 3629 (2022)
DOI: 10.3934/dcds.2022027
See this article
Uniqueness of the 1D compressible to incompressible limit
Rinaldo M. Colombo and Graziano Guerra
Nonlinear Differential Equations and Applications NoDEA 24 (5) (2017)
DOI: 10.1007/s00030-017-0474-6
See this article
Low Mach number limit of inviscid Hookean elastodynamics
Qiangchang Ju, Jiawei Wang and Xin Xu
Nonlinear Analysis: Real World Applications 68 103683 (2022)
DOI: 10.1016/j.nonrwa.2022.103683
See this article
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)
DOI: 10.1016/j.physd.2008.03.027
See this article
Measure-valued solutions to the stochastic compressible Euler equations and incompressible limits
Martina Hofmanová, Ujjwal Koley and Utsab Sarkar
Communications in Partial Differential Equations 47 (9) 1907 (2022)
DOI: 10.1080/03605302.2022.2101002
See this article
Hybrid Lattice-Boltzmann-Potential Flow Simulations of Turbulent Flow around Submerged Structures
Christopher M. O’Reilly, Stephan T. Grilli, Christian F. Janßen, Jason M. Dahl and Jeffrey C. Harris
Journal of Marine Science and Engineering 10 (11) 1651 (2022)
DOI: 10.3390/jmse10111651
See this article