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

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Bingkang Huang
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引用次数: 0

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.

论非保守边界条件驱动的多组分反应流的弱解
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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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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