Well-posedness of the Euler equation in Triebel-Lizorkin-Morrey spaces

被引：3

作者：

Chen, Dongxiang ^{[1
]}

Chen, Xiaoli ^{[1
]}

Sun, Lijing ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang, Jiangxi, Peoples R China

[2] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 05期

关键词：

Ming Mei; Euler equation; Triebel-Lizorkin-Morrey space; local well-posedness; blow-up criterion; paraproduct; BESOV; FLUID;

D O I：

10.1080/00036811.2018.1510491

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes the local existence, uniqueness and a blow-up criterion for the solutions to the inviscid incompressible Euler equation in Triebel-Lizorkin-Morrey space . As an application, we also derive the global persistence of the initial regularity in Triebel-Lizorkin-Morrey space for the solutions of 2-D Euler equation. These results are established using the logarithmic inequality of Beal-Kato-Majda type, the Moser type of inequality and commutator estimates in Triebel-Lizorkin-Morrey space.

引用

页码：772 / 795

页数：24