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

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis 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.

查看原文本刊更多论文

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。

求助全文

约1分钟内获得全文求助全文

来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.