The mathematical theory of low Mach number flows

被引:96
作者
Schochet, S [1 ]
机构
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2005年 / 39卷 / 03期
关键词
incompressible limit; Mach number;
D O I
10.1051/m2an:2005017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The mathematical theory of the passage from compressible to incompressible fluid flow is reviewed.
引用
收藏
页码:441 / 458
页数:18
相关论文
共 54 条
  • [1] ALAZARD T, IN PRESS ADV DIFFERE
  • [2] Low Mach number flows in time-dependent domains
    Alì, G
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 2003, 63 (06) : 2020 - 2041
  • [3] [Anonymous], 1977, NAVIERSTOKES EQUATIO
  • [4] ASANO K, 1987, JAPAN J APPL MATH, V4, P455, DOI DOI 10.1007/BF03167815
  • [5] DENSITY VARIATIONS IN WEAKLY COMPRESSIBLE FLOWS
    BAYLY, BJ
    LEVERMORE, CD
    PASSOT, T
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (05): : 945 - 954
  • [6] Low Mach number limit of viscous polytropic flows: Formal asymptotics in the periodic case
    Bresch, D
    Desjardins, B
    Grenier, E
    Lin, CK
    [J]. STUDIES IN APPLIED MATHEMATICS, 2002, 109 (02) : 125 - 149
  • [7] PROBLEMS WITH DIFFERENT TIME SCALES FOR NON-LINEAR PARTIAL-DIFFERENTIAL EQUATIONS
    BROWNING, G
    KREISS, HO
    [J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1982, 42 (04) : 704 - 718
  • [8] BROWNING G, 1980, J ATMOS SCI, V37, P1424, DOI 10.1175/1520-0469(1980)037<1424:IOTPEB>2.0.CO
  • [9] 2
  • [10] Justification of nonlinear geometric optics for a system of laws of conservation
    Cheverry, C
    [J]. DUKE MATHEMATICAL JOURNAL, 1997, 87 (02) : 213 - 263