A BLOW-UP CRITERION OF SPHERICALLY SYMMETRIC STRONG SOLUTIONS TO 3D COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH FREE BOUNDARY

被引：1

作者：

Kong, Huihui ^{[1
]}

Li, Hai-Liang ^{[1
]}

Zhang, Xingwei ^{[2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2016年 / 36卷 / 04期

关键词：

Blow-up criterion; spherically symmetric; free boundary; compressible Navier-Stokes equations; CLASSICAL-SOLUTIONS; GLOBAL-SOLUTIONS; WELL-POSEDNESS;

D O I：

10.1016/S0252-9602(16)30060-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider the free boundary value problem of 3D isentropic compressible Navier-Stokes equations. A blow-up criterion in terms of the maximum norm of gradients of velocity is obtained for the spherically symmetric strong solution in terms of the regularity estimates near the symmetric center and the free boundary respectively.

引用

页码：1153 / 1166

页数：14

共 50 条

[41] Free Boundary Value Problem for the Spherically Symmetric Compressible Navier-Stokes Equations with a Nonconstant Exterior Pressure
Lian, Ruxu
Xu, Xinying
ACTA APPLICANDAE MATHEMATICAE, 2016, 144 (01) : 35 - 53
[42] Blow-up of critical norms for the 3-D Navier-Stokes equations
Wang WenDong
Zhang ZhiFei
SCIENCE CHINA-MATHEMATICS, 2017, 60 (04) : 637 - 650
[43] Global Weak Solutions to the Compressible Navier-Stokes Equations in the Exterior Domain with Spherically Symmetric Data
Lingyu Jiang
Chao Wang
Acta Applicandae Mathematicae, 2012, 121 : 197 - 211
[44] Global Weak Solutions to the Compressible Navier-Stokes Equations in the Exterior Domain with Spherically Symmetric Data
Jiang, Lingyu
Wang, Chao
ACTA APPLICANDAE MATHEMATICAE, 2012, 121 (01) : 197 - 211
[45] A CHARACTERIZATION ON BREAKDOWN OF SMOOTH SPHERICALLY SYMMETRIC SOLUTIONS OF THE ISENTROPIC SYSTEM OF COMPRESSIBLE NAVIER-STOKES EQUATIONS
Huang, Xiangdi
Matsumura, Akitaka
OSAKA JOURNAL OF MATHEMATICS, 2015, 52 (01) : 271 - 283
[46] Well-posedness and blow-up criterion for strong solutions of a class of compressible MHD equations
Meng, Qiu
Xing, Huifang
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 539 (02)
[47] Global strong solutions to radial symmetric compressible Navier-Stokes equations bounded by a free surface
Zhang Xingwei
APPLICABLE ANALYSIS, 2020, 99 (07) : 1136 - 1152
[48] A Blow-up Criterion for the Strong Solutions to the Nonhomogeneous Navier-Stokes-Korteweg Equations in Dimension Three
Li, Huanyuan
APPLICATIONS OF MATHEMATICS, 2021, 66 (01) : 43 - 55
[49] A Blow-Up Criterion for the Strong Solutions to the Nonhomogeneous Navier-Stokes-Korteweg Equations in Dimension Three
Huanyuan Li
Applications of Mathematics, 2021, 66 : 43 - 55
[50] Global large strong solutions to the radially symmetric compressible Navier-Stokes equations in 2D solid balls
Huang, Xiangdi
Su, Mengluan
Yan, Wei
Yu, Rongfeng
JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 396 : 393 - 429

← 1 2 3 4 5 →