Global Well-Posedness for the 2-D Inhomogeneous Incompressible Navier-Stokes System with Large Initial Data in Critical Spaces

被引：22

作者：

Abidi, Hammadi ^{[1
]}

Gui, Guilong ^{[2
,3
]}

机构：

[1] Univ Tunis El Manar, Dept Math, Fac Sci Tunis, Tunis 2092, Tunisia

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

[3] Northwest Univ, Sch Math, Xian 710069, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2021年 / 242卷 / 03期

基金：

中国国家自然科学基金;

关键词：

EQUATIONS; DENSITY; FLUIDS;

D O I：

10.1007/s00205-021-01710-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Without any smallness assumption, we prove the global unique solvability of the 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in the critical Besov space, which is almost the energy space in the sense that they have the same scaling in terms of this 2-D system.

引用

页码：1533 / 1570

页数：38

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