Global existence and exponential stability of convection

被引:23
作者
Hishida, T [1 ]
机构
[1] WASEDA UNIV,DEPT MATH,SHINJUKU KU,TOKYO 169,JAPAN
关键词
D O I
10.1006/jmaa.1995.1435
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Consider thermal convection phenomena of a viscous incompressible fluid in a bounded domain under the influence of gravity. It is proved that when some parameters are small enough, a strong solution near a steady state exists globally in time and uniformly goes to the steady state as t --> infinity with an exponential rate. (C) 1995 Academic Press, Inc.
引用
收藏
页码:699 / 721
页数:23
相关论文
共 19 条
[1]  
BORCHERS W, IN PRESS ACTA MATH
[2]  
Chandrasekhar S., 1981, HYDRODYNAMIC HYDROMA
[3]  
Chen Z-M., 1992, ADV MATH SCI APPL, V1/2, P411
[4]   L(R) STABILITY QOF VISCOUS INCOMPRESSIBLE FLUID MOTIONS IN UNBOUNDED-DOMAINS [J].
CHEN, ZM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 181 (03) :768-788
[5]   ON THE NAVIER-STOKES INITIAL VALUE PROBLEM .1. [J].
FUJITA, H ;
KATO, T .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1964, 16 (04) :269-315
[6]   A NEW APPROACH TO ENERGY THEORY IN THE STABILITY OF FLUID MOTION [J].
GALDI, GP ;
PADULA, M .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 110 (03) :187-286
[7]   SOLUTIONS IN LR OF THE NAVIER-STOKES INITIAL-VALUE PROBLEM [J].
GIGA, Y ;
MIYAKAWA, T .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 89 (03) :267-281
[9]   ANALYTICITY OF THE SEMIGROUP GENERATED BY THE STOKES OPERATOR IN LR SPACES [J].
GIGA, Y .
MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (03) :297-329
[10]   ASYMPTOTIC-BEHAVIOR AND STABILITY OF SOLUTIONS TO THE EXTERIOR CONVECTION PROBLEM [J].
HISHIDA, T .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (07) :895-925