Blow up Criteria for the 2D Compressible Navier-Stokes Equations in Bounded Domains with Vacuum

被引：0
作者：
Fan, Jie [1 ]
Jiu, Quansen [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2023年 / 25卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Compressible Navier-Stokes equations; Strong solutions; Blow-up criteria; GLOBAL WELL-POSEDNESS; CLASSICAL-SOLUTIONS; CAUCHY-PROBLEM; SMOOTH SOLUTIONS; EXISTENCE;
D O I：
10.1007/s00021-022-00744-w
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the compressible barotropic Navier-Stokes equations in a general two-dimensional bounded domain with the Navier-slip boundary conditions. It is shown that the strong solution exists globally if the density satisfies parallel to rho parallel to (L)infinity(0,t;L-q) < infinity for some q < infinity, which extends previous one parallel to rho parallel to (L)infinity(0,t;L-infinity) < infinity. The initial vacuum is permitted in this paper.
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页数：17
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