Global Large Solutions and Incompressible Limit for the Compressible Navier-Stokes Equations

被引：17
|
作者：
Chen, Zhi-Min [1 ]
Zhai, Xiaoping [1 ]
机构：
[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2019年 / 21卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Compressible Navier-Stokes equations; Incompressible limit; Besov spaces; Global well-posedness; CRITICAL SPACES; WELL-POSEDNESS; WEAK SOLUTIONS; EXISTENCE; FLOW;
D O I：
10.1007/s00021-019-0428-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The present paper is dedicated to the global large solutions and incompressible limit for the compressible Navier-Stokes system in Rd with d2. Motivated by the L2 work of Danchin and Mucha (Adv Math 320:904-925, 2017) in critical Besov spaces, we extend the solution space into an Lp framework. The result implies the existence of global large solutions initially from large highly oscillating velocity fields.
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页数：23
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