GENERALIZED TIME-PERIODIC SOLUTIONS TO THE EULER EQUATIONS OF COMPRESSIBLE FLUIDS

被引：0

作者：

Georgiev, Svetlin ^{[1
]}

LeFloch, Philippe G. ^{[2
,3
]}

机构：

[1] Univ Sofia, Fac Math & Informat, Dept Differential Equat, 15 Blvd Tzar Osvoboditel, Sofia 1000, Bulgaria

[2] Univ Pierre & Marie Curie Paris 6, Lab Jacques Louis Lions, F-75252 Paris, France

[3] Univ Pierre & Marie Curie Paris 6, CNRS, F-75252 Paris, France

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2009年 / 1卷 / 03期

关键词：

nonlinear hyperbolic equation; Euler equations; periodic solution; fixed-point theorem;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a notion of generalized time-periodic solutions to first-order hyperbolic systems in one space dimension and we establish the existence of such solutions to the Euler equations of compressible fluid dynamics for a large class of equations of state.

引用

页码：413 / 426

页数：14

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