On the Singular Incompressible Limit of Inviscid Compressible Fluids

被引：0

作者：

P. Secchi

机构：

[1] Dipartimento di Matematica,

[2] Ingegneria,undefined

[3] Università di Brescia,undefined

[4] Via Valotti 9,undefined

[5] I-25133 Brescia,undefined

[6] Italy,undefined

[7] e-mail: secchi@bsing.ing.unibs.it,undefined

来源：

Journal of Mathematical Fluid Mechanics | 2000年 / 2卷

关键词：

Keywords. Inviscid compressible flows, singular limits, incompressible Euler equations, boundary value problems.;

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摘要：

We consider the Euler equations of barotropic inviscid compressible fluids in a bounded domain. It is well known that, as the Mach number goes to zero, the compressible flows approximate the solution of the equations of motion of inviscid, incompressible fluids. In this paper we discuss, for the boundary case, the different kinds of convergence under various assumptions on the data, in particular the weak convergence in the case of uniformly bounded initial data and the strong convergence in the norm of the data space.

引用

页码：107 / 125

页数：18