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

IF 0.6 Q3 MATHEMATICS

Applied general topology Pub Date : 2022-10-03 DOI:10.4995/agt.2022.15963

Dalila Boureni, S. Georgiev, A. Kheloufi, K. Mebarki

引用次数: 0

Abstract

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.

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可压缩流体力学欧拉方程的经典解:一种新的拓扑方法

本文研究了一类可压缩流体力学的欧拉方程。我们给出了所考虑的方程至少有一个和至少两个经典解的条件。为了证明我们的主要结果，我们根据最近的理论结果提出了一种新的方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied general topology MATHEMATICS-

CiteScore

1.20

自引率

25.00%

发文量

审稿时长

15 weeks

期刊介绍： The international journal Applied General Topology publishes only original research papers related to the interactions between General Topology and other mathematical disciplines as well as topological results with applications to other areas of Science, and the development of topological theories of sufficiently general relevance to allow for future applications. Submissions are strictly refereed. Contributions, which should be in English, can be sent either to the appropriate member of the Editorial Board or to one of the Editors-in-Chief. All papers are reviewed in Mathematical Reviews and Zentralblatt für Mathematik.