Decay estimates of solutions for the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R3

被引:201
作者
Kobayashi, T
Shibata, Y
机构
[1] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan
[2] Waseda Univ, Sch Sci & Engn, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
关键词
D O I
10.1007/s002200050543
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in R-3. We give the L-q-L-p estimates fur solutions to the linearized equations and show an optimal decay estimate for solutions to the nonlinear problem.
引用
收藏
页码:621 / 659
页数:39
相关论文
共 41 条
[1]   ESTIMATES NEAR THE BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .1. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1959, 12 (04) :623-727
[2]   ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].
AGMON, S ;
DOUGLIS, A ;
NIRENBERG, L .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&
[3]  
Calderon A. P., 1961, P S PURE MATH, VIV, P33
[4]  
CATTABRIGA L, 1961, REND SEMIN MAT U PAD, V31, P308
[5]   DECAY-ESTIMATES FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN UNBOUNDED-DOMAINS [J].
DECKELNICK, K .
MATHEMATISCHE ZEITSCHRIFT, 1992, 209 (01) :115-130
[6]   L(2) DECAY FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS IN UNBOUNDED-DOMAINS [J].
DECKELNICK, K .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (9-10) :1445-1476
[7]  
Edmunds D. E., 1987, Spectral Theory and Differential Operators
[8]   THE INITIAL BOUNDARY-VALUE PROBLEM FOR THE FLOW OF A BAROTROPIC VISCOUS-FLUID, GLOBAL IN TIME [J].
FISZDON, W ;
ZAJACZKOWSKI, WM .
APPLICABLE ANALYSIS, 1983, 15 (1-4) :91-114
[9]  
FISZDON W, 1983, ARCH MECH, V35, P497
[10]  
FISZDON W, 1983, ARCH MECH, V35, P517