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

被引：14
|
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.
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页码：1533 / 1570
页数：38
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