THE REGULARITY THEORY OF THE NONSTATIONARY NAVIER-STOKES EQUATIONS

被引:75
作者
SOHR, H
机构
关键词
D O I
10.1007/BF01163510
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:359 / 375
页数:17
相关论文
共 27 条
[1]  
Adams R.A., 2003, PURE APPL MATH SOB O, V2nd ed.
[2]   BOUNDARY-CONDITION FOR NONSTATIONARY NAVIER-STOKES EQUATIONS [J].
BEMELMANS, J .
MATHEMATISCHE ZEITSCHRIFT, 1978, 162 (02) :145-173
[3]   INITIAL VALUE-PROBLEM FOR NAVIER-STOKES EQUATIONS WITH DATA IN LP [J].
FABES, EB ;
JONES, BF ;
RIVIERE, NM .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1972, 45 (03) :222-&
[4]  
Fujiwara D., 1997, J FS U TOKYO, V24, P685
[5]   STATIONARY SOLUTIONS TO THE NAVIER-STOKES EQUATIONS IN DIMENSION 4 [J].
GERHARDT, C .
MATHEMATISCHE ZEITSCHRIFT, 1979, 165 (02) :193-197
[7]   ANALYTICITY OF THE SEMIGROUP GENERATED BY THE STOKES OPERATOR IN LR SPACES [J].
GIGA, Y .
MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (03) :297-329
[9]   FINITE-ELEMENT APPROXIMATION OF THE NONSTATIONARY NAVIER-STOKES PROBLEM .1. REGULARITY OF SOLUTIONS AND 2ND-ORDER ERROR-ESTIMATES FOR SPATIAL DISCRETIZATION [J].
HEYWOOD, JG ;
RANNACHER, R .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1982, 19 (02) :275-311
[10]  
Krasnosel'ski M. A., 1976, INTEGRAL OPERATORS S