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

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2024-12-16 DOI:10.1016/j.nonrwa.2024.104267

Hakho Hong, Kwang-Hyon Jong

引用次数: 0

Abstract

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

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来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.