哈尔滨商业大学学报（自然科学版）2013，Vol.29Issue(1)：125-128,4.
大扰动下非凸广义BBM-Burgers方程解的渐近性态(上)
Asymptotic behaviors of solutions for generalized BBM-Burgers equation with non-convexity and large initial disturbance(Ⅰ)
摘要
Abstract
This paper is concerned with the initial - boundary value problem for the generalized BBM - Burgers equation ut +f(u) x - uxx + uxxl with the general boundary condition u(0, t) =u_(t)→u_(t→∞) ,and the initial date satisfying u(x,0) = uo(x)→u+(x→∞),u_ (0) = uo (0) , where u ±were given constants, u _ < 0 < u + and ∣ u + - u _ ∣ was sufficiently small. Under the condition that the flux function / was not convex, it was proved that the global solution of corresponding general initial - boundary value problem exists and converges time - asymptotically to the linear superposition of a weak stationary wave and a weak rarefaction wave for the large initial disturbance by using of an L weighted energy method.关键词
广义BBM-Burgers方程/一般初边值问题/大扰动/非凸条件/L2加权能量方法Key words
generalized BBM - Burgers equation/initial-boundary value problem/large disturbance/non-convexity condition/L2 weighted energy method分类
数理科学引用本文复制引用
陈诚..大扰动下非凸广义BBM-Burgers方程解的渐近性态(上)[J].哈尔滨商业大学学报（自然科学版）,2013,29(1):125-128,4.基金项目
国家自然科学基金资助项目(10871082). （10871082）
