具有边界正则性和色散效应的二维无粘Boussinesq方程的长时间可解性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-11-13 DOI:10.3233/asy-231879

V. Angulo-Castillo, L.C.F. Ferreira, L. Kosloff

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引用次数: 0

摘要

我们关注的是二维无粘Boussinesq方程的长时间可解性，对于一类更大的初始数据，它涵盖了边界正则性的情况。首先，我们均匀地展示了Besov空间中关于与流体分层相关的参数κ的局部可解性。然后，采用爆破准则和Strichartz-type估计，无论初始数据大小如何，对于较大的κ，都获得了长时间可解性。

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Long-time solvability for the 2D inviscid Boussinesq equations with borderline regularity and dispersive effects

We are concerned with the long-time solvability for 2D inviscid Boussinesq equations for a larger class of initial data which covers the case of borderline regularity. First we show the local solvability in Besov spaces uniformly with respect to a parameter κ associated with the stratification of the fluid. Afterwards, employing a blow-up criterion and Strichartz-type estimates, the long-time solvability is obtained for large κ regardless of the size of initial data.

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来源期刊

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.