Low Mach number limit for the compressible Euler-Navier-Stokes two-phase flow model in R3

被引:0
作者
Hong, Hakho [1 ]
Jong, Kwang-Hyon [1 ]
机构
[1] Jik Univ Educ, Fac Educ, Pyongyang, North Korea
关键词
Euler-navier-stokes two-phase flow; Existence; Low Much number limit; FLUID MODEL; VLASOV; EQUATIONS;
D O I
10.1016/j.nonrwa.2024.104267
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with the two-phase flow model consisting of the compressible isothermal Euler equations coupled with the compressible isentropic Navier-Stokes equations through a drag forcing term.For the 3-D Cauchy problem,we rigorously justify the low Mach number limit, which means that the solutions converge to that of a two-phase flow model coupled with the compressible Euler equations and the incom pressible Navier-Stokes equations locally and globally in time as Mach number goes to zero. MSC 2020:35Q30,35B35,35L6576D3374J40
引用
收藏
页数:20
相关论文
共 26 条
  • [1] Brennen C, 2009, Fundamentals of multiphase flow
  • [2] GLOBAL BOUNDED WEAK ENTROPY SOLUTIONS TO THE EULER-VLASOV EQUATIONS IN FLUID-PARTICLE SYSTEM
    Cao, Wentao
    Jiang, Peng
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (04) : 3958 - 3984
  • [3] On the analysis of a coupled kinetic-fluid model with local alignment forces
    Carrillo, Jose A.
    Choi, Young-Pil
    Karper, Trygve K.
    [J]. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2016, 33 (02): : 273 - 307
  • [4] GLOBAL CLASSICAL SOLUTIONS CLOSE TO EQUILIBRIUM TO THE VLASOV-FOKKER-PLANCK-EULER SYSTEM
    Carrillo, Jose A.
    Duan, Renjun
    Moussa, Ayman
    [J]. KINETIC AND RELATED MODELS, 2011, 4 (01) : 227 - 258
  • [5] Asymptotic analysis for a Vlasov-Fokker-Planck/Navier-Stokes system in a bounded domain
    Choi, Young-Pil
    Jung, Jinwook
    [J]. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2021, 31 (11) : 2213 - 2295
  • [6] GLOBAL CLASSICAL SOLUTIONS AND LARGE-TIME BEHAVIOR OF THE TWO-PHASE FLUID MODEL
    Choi, Young-Pil
    [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2016, 48 (05) : 3090 - 3122
  • [7] The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
    Choi, Young-Pil
    Kwon, Bongsuk
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (01) : 654 - 711
  • [8] COMPRESSIBLE EULER EQUATIONS INTERACTING WITH INCOMPRESSIBLE FLOW
    Choi, Young-Pil
    [J]. KINETIC AND RELATED MODELS, 2015, 8 (02) : 335 - 358
  • [9] Gidaspow, 1994, MULTIPHASE FLOW FLUI
  • [10] Recent Progress on Outflow/Inflow Problem for Viscous Multi-phase Flow
    Hao, Fangfang
    Li, Hai-Liang
    Shang, Luyao
    Zhao, Shuang
    [J]. COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION, 2023, 5 (03) : 987 - 1014