华中师范大学学报（自然科学版）2002，Vol.36Issue(3)：276-280,5.
广义BBM-Burgers 方程稀疏波解的稳定性(英文)
Stability of the rarefaction wave for the generalized BBM-Burgers equation
摘要
Abstract
This paper is concerned with the stability of the rarefaction wave for the generalized BBM-Burgers equation ut+f(u)x=uxx+uxxt, u|t=0=uo(x)→u±, x→∞.(1) under the assumption of u-＜u+, the solution u(x,t) to Cauchy problem (1) satisfies supx∈R|u(x,t)-uR(x/t)|→0 as t→∞, where uR(x/t) is the rarefaction wave of the non-viscous Burgers equation ut+f(u)x=0 with Riemann initial data u(x,0)=u-, x＜0, u+, x＞0.关键词
BBM-Burgers方程/稀疏波/先验估计/L2-能量方法Key words
BBM-Burgers equation/rarefaction wave/a priori estimate/L2-energy method分类
数理科学引用本文复制引用
蒋咪娜,徐艳玲..广义BBM-Burgers 方程稀疏波解的稳定性(英文)[J].华中师范大学学报（自然科学版）,2002,36(3):276-280,5.基金项目
Supported by the Natural Science Foundation of China(10171037). （10171037）
