Classical solutions for the Euler equations of compressible fluid dynamics: A new topological approach

被引：0

作者：

Boureni, Dalila ^{[1
]}

Georgiev, Svetlin ^{[2
]}

Kheloufi, Arezki ^{[1
]}

Mebarki, Karima ^{[3
]}

机构：

[1] Bejaia Univ, Lab Appl Math, Bejaia 06000, Algeria

[2] Univ Sofia, Fac Math & Informat, Dept Differential Equat, Sofia, Bulgaria

[3] Bejaia Univ, Fac Exact Sci, Lab Appl Math, Bejaia 06000, Algeria

来源：

APPLIED GENERAL TOPOLOGY | 2022年 / 23卷 / 02期

关键词：

Euler equations; classical solution; fixed point; initial value prob-lem; LONG-TIME EXISTENCE; CONVERGENCE;

D O I：

10.4995/agt.2022.15963

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study a class of Euler equations of compressible fluid dynamics. We give conditions under which the considered equations have at least one and at least two classical solutions. To prove our main results we propose a new approach based upon recent theoretical results.

引用

页码：463 / 480

页数：18

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