A COUPLING BETWEEN A NON-LINEAR 1D COMPRESSIBLE INCOMPRESSIBLE LIMIT AND THE 1D p-SYSTEM IN THE NON SMOOTH CASE

被引：1

作者：

Colombo, Rinaldo M. ^{[1
]}

Guerra, Graziano ^{[2
]}

机构：

[1] Univ Brescia, INdAM Unit DII, Via Branze 38, I-25123 Brescia, Italy

[2] Dipartimento Matemat & Applicaz, Via Roberto Cozzi 55, I-20125 Milan, Italy

来源：

NETWORKS AND HETEROGENEOUS MEDIA | 2016年 / 11卷 / 02期

关键词：

Incompressible limit; compressible Euler equations; hyperbolic conservation laws; EULER EQUATIONS; FLUIDS; LAWS;

D O I：

10.3934/nhm.2016.11.313

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider two compressible immiscible fluids in one space dimension and in the isentropic approximation. The first fluid is surrounded and in contact, with the second one. As the sound speed of the first fluid diverges to infinity, we present the proof of rigorous convergence for the fully non linear compressible to incompressible limit of the coupled dynamics of the two fluids. A linear example is considered in detail, where fully explicit computations are possible.

引用

页码：313 / 330

页数：18

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