论非保守边界条件驱动的多组分反应流的弱解

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-02-20 DOI:10.1007/s00021-024-00856-5

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引用次数: 0

摘要

摘要我们针对大边界数据驱动的多组分反应流提出了弱解的新概念。当吉布斯方程包含物种质量分数时，我们建立了弱解在任何有限能量初始数据下的全局时间内的存在性。此外，如果存在经典解，弱解与经典解在同一时间区间内重合。

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On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions

Abstract

We propose a new concept of weak solutions to the multicomponent reactive flows driven by large boundary data. When the Gibbs’ equation incorporates the species mass fractions, we establish the global-in-time existence of weak solutions for any finite energy initial data. Moreover, if the classical solutions exist, the weak solutions coincide with them in the same time interval.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.