THE INFLUENCE OF NONLOCAL NONLINEARITIES ON THE LONG-TIME BEHAVIOR OF SOLUTIONS OF BURGERS-EQUATION

被引：45
作者：
DENG, K
KWONG, MK
LEVINE, HA
机构：
[1] ARGONNE NATL LAB,ARGONNE,IL 60439
[2] IOWA STATE UNIV SCI & TECHNOL,AMES,IA 50011
来源：
QUARTERLY OF APPLIED MATHEMATICS | 1992年 / 50卷 / 01期
关键词：
D O I：
10.1090/qam/1146631
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the long time behavior of solutions of Burgers's equation with nonlocal nonlinearities: u(t) = u(xx) + epsilon-uu(x) + 1/2 (a parallel-to u(., t)parallel-to p-1 + b)u, 0 < x < 1, a, epsilon is-an-element-of R, b > 0, p > 1, subject to u(0, t) = u(1, t) = 0. A stability-instability analysis is given in some detail, and some finite time blow up results are given.
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页码：173 / 200
页数：28
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