A MINICOURSE ON THE LOW MACH NUMBER LIMIT

被引：25
|
作者：
Alazard, Thomas [1 ]
机构：
[1] Univ Paris Sud, Lab Math, CNRS, UMR8628, F-91405 Orsay, France
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2008年 / 1卷 / 03期
关键词：
Singular limit; compressible and pseudo-incompressible fluids;
D O I：
10.3934/dcdss.2008.1.365
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
These lectures are devoted to the study of the low Mach number limit for classical solutions of the compressible Navier-Stokes or Euler equations for non-isentropic fluids. We study the general case where the combined effects of large temperature variations and thermal conduction are taken into account.
引用
收藏
页码：365 / 404
页数：40
相关论文
共 50 条
  • [31] On the low Mach number limit of compressible flows in exterior moving domains
    Feireisl, Eduard
    Kreml, Ondrej
    Macha, Vaclav
    Necasova, Sarka
    JOURNAL OF EVOLUTION EQUATIONS, 2016, 16 (03) : 705 - 722
  • [32] The Low Mach Number Limit for the Full Navier–Stokes–Fourier System
    Eduard Feireisl
    Antonín Novotný
    Archive for Rational Mechanics and Analysis, 2007, 186 : 77 - 107
  • [33] The low Mach number limit in Besov spaces for compressible magnetohydrodynamics equations
    Wang, Peng
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (03) : 580 - 588
  • [34] Low Mach Number Limit of a Compressible Euler-Korteweg Model
    Wang, Yajie
    Yang, Jianwei
    APPLICATIONS OF MATHEMATICS, 2023, 68 (01) : 99 - 108
  • [35] An analytical expression for the spectrum of compressible turbulence in the low Mach number limit
    Fauchet, G
    Bertoglio, JP
    ADVANCES IN TURBULENCE VII, 1998, 46 : 317 - 320
  • [36] ON THE LOW MACH NUMBER LIMIT FOR QUANTUM NAVIER-STOKES EQUATIONS
    Antonelli, Paolo
    Hientzsch, Lars Eric
    Marcati, Pierangelo
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (06) : 6105 - 6139
  • [37] LOW MACH NUMBER LIMIT FOR THE COMPRESSIBLE MAGNETOHYDRODYNAMIC EQUATIONS IN A PERIODIC DOMAIN
    Li, Fucai
    Mu, Yanmin
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (04) : 1669 - 1705
  • [38] Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations
    Wang, Huaqiao
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2023, 35 (03) : 2413 - 2451
  • [39] Low Mach number limit of multidimensional steady flows on the airfoil problem
    Li, Mingjie
    Wang, Tian-Yi
    Xiang, Wei
    CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2020, 59 (02)
  • [40] On the low Mach number limit of the compressible viscous micropolar fluid mode
    Yang, Jianwei
    Yang, Xiao
    Yang, Jianqin
    Shi, Qihong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (06) : 7029 - 7044
12345