摘要
本文考虑一类Burgers—BBM型方程的周期边值问题和初值问题。应用Galerkin方法和能量估计证明这些问题整体强解的存在性和唯一性。最后,讨论解当t→∞时的渐近性质。
In this paper we consider a class of Burgers -BBM type equation. The existence, uniqueness and asymptotic behavior of the global strong solution for the periodic boundary value problem and initial value problem of the Burgers-BBM type equation are proved by the Galerkin method and en-ergy estimates.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1991年第1期31-37,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
整体强解
边值问题
B-BBM方程
equation, global strong solution, galerkin method, energy estimates, asymptotic behavior.
