ASYMPTOTIC STABILITY OF PLANAR RAREFACTION WAVES FOR VISCOUS CONSERVATION-LAWS IN SEVERAL DIMENSIONS

被引：57
作者：
XIN, ZP
机构：
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 319卷 / 02期
关键词：
D O I：
10.2307/2001267
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：805 / 820
页数：16
相关论文
共 50 条
[41]   ASYMPTOTIC STABILITY OF STATIONARY WAVES FOR TWO-DIMENSIONAL VISCOUS CONSERVATION LAWS IN HALF PLANE [J].
Kawashima, Shuichi ;
Nishibata, Shinya ;
Nishikawa, Masataka .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, :469-476
[42]   ASYMPTOTIC STABILITY OF SHOCK WAVES AND RAREFACTION WAVES UNDER PERIODIC PERTURBATIONS FOR 1-D CONVEX SCALAR CONSERVATION LAWS [J].
Xin, Zhouping ;
Yuan, Qian ;
Yuan, Yuan .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (04) :2971-2994
[43]   Asymptotics toward the planar rarefaction wave for viscous conservation law in two space dimensions [J].
Nishikawa, M ;
Nishihara, K .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (03) :1203-1215
[44]   MULTIPLE VISCOUS SOLUTIONS FOR SYSTEMS OF CONSERVATION-LAWS [J].
AZEVEDO, AV ;
MARCHESIN, D .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (08) :3061-3077
[45]   Stability of rarefaction waves in viscous media [J].
Szepessy, A ;
Zumbrun, K .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1996, 133 (03) :249-298
[46]   ASYMPTOTIC EQUATIONS FOR CONSERVATION-LAWS OF MIXED TYPE [J].
BRIO, M ;
HUNTER, JK .
WAVE MOTION, 1992, 16 (01) :57-64
[47]   Time-asymptotic stability of composite waves of degenerate Oleinik shock and rarefaction for non-convex conservation laws [J].
Huang, Feimin ;
Wang, Yi ;
Zhang, Jian .
MATHEMATISCHE ANNALEN, 2025, 392 (01) :1-46
[48]   CONSERVATION-LAWS OF FREE-BOUNDARY PROBLEMS AND THE CLASSIFICATION OF CONSERVATION-LAWS FOR WATER-WAVES [J].
OLVER, PJ .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (01) :353-380
[49]   STABILITY AND DECAY IN SYSTEMS OF CONSERVATION-LAWS [J].
TEMPLE, B .
LECTURE NOTES IN MATHEMATICS, 1987, 1270 :286-307
[50]   Stability analysis for periodic solution waves in viscous conservation laws [J].
Oh, M .
HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, 2003, :765-774
12345