Local Existence and Blow-up Criterion of the Inhomogeneous Euler Equations

被引:21
作者
Chae, Dongho [1 ]
Lee, Jihoon [1 ]
机构
[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea
关键词
Inhomogeneous Euler equations; local existence; blow-up criterion;
D O I
10.1007/s00021-003-0073-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove local in time existence and uniqueness of solution of the inhomogeneous Euler equations in the critical Besov spaces. We also obtain the finite time blow-up criterion of the local solution.
引用
收藏
页码:144 / 165
页数:22
相关论文
共 22 条
[1]  
[Anonymous], 1981, Ann. Scuola Norm. Sup. Pisa Cl. Sci.
[2]  
[Anonymous], 1992, THEORY FUNCTION SPAC
[3]  
[Anonymous], 1980, Commun. Partial Differ. Equ, DOI DOI 10.1080/03605308008820134
[4]   REMARKS ON THE BREAKDOWN OF SMOOTH SOLUTIONS FOR THE 3-D EULER EQUATIONS [J].
BEALE, JT ;
KATO, T ;
MAJDA, A .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1984, 94 (01) :61-66
[5]  
Bergh J., 1976, Grundlehren der Mathematischen Wissenschaften, V223
[6]   On the well-posedness of the Euler equations in the Triebel-Lizorkin spaces [J].
Chae, D .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2002, 55 (05) :654-678
[7]  
CHAE D., 0107 RIMGARC
[8]  
CHAE D., 0111 RIMGARC
[9]  
CHEMIN J.-Y., 1998, OXFORD LECT SERIES O, V14
[10]   Global existence in critical spaces for compressible Navier-Stokes equations [J].
Danchin, R .
INVENTIONES MATHEMATICAE, 2000, 141 (03) :579-614