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

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

引用次数: 0

Abstract

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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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

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。

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

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

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