哈尔滨商业大学学报（自然科学版）2012，Vol.28Issue(2)：205-209,5.
带一般边界BBM-Burgers方程强边界层解的稳定性
Stability of strong boundary layer solution for BBM -Burgers equation with a general boundary effect
摘要
Abstract
This paper is concerned with the nonlinear stability of boundary layer solution for general initial-boundary value problem for generalized BBM - Burgers equation ut - utxx-uxx+f(u)x =0 with tne general boundary condition u(t,0) = ub(t)→ub(t→+∞ ) and the initial data u(0,x) =u0(x)→u+(x→+∞) (u+≠ub). Under the condition that fn (u)> 0,φx (x ) < 0 and f' ( ub) < 0, the strong boundary layer solution for the above initial -boundary value problem has nonlinear stability by means of an L2 - energy method were proved. And clarified the effect of the general boundary data on the stability of boundary layer solution.关键词
广义BBM - Burgers方程/边界层解/L2-能量方法/非线性稳定性Key words
generalized BBM - Burgers equation/ boundary layer solution/L2 - energy method, nonlinear stability分类
数理科学引用本文复制引用
陈琴,刘艳..带一般边界BBM-Burgers方程强边界层解的稳定性[J].哈尔滨商业大学学报（自然科学版）,2012,28(2):205-209,5.基金项目
国家自然科学基金资助项目(10871082). （10871082）
