有限区间上广义BBM-Burgers方程解的大时间性态

摘要

研究广义BBM - Burgers方程ut-utxx-uxx +f(u)x=O(x∈[0,1],t＞0)的一般初边值问题在f严格凸、初始扰动及稳定波不必小的情形下解的大时间性态.%This paper concerned with the large - time behaviors of the solutions to the initial boundary value problem for generalized BBM - Burgers equation ut - utxx - uxx +/( u)x = 0 on [0,1 ] , with/ >0 for u under consideration, large initial perturbation and large wave.