具有边界影响的广义BBM-Burgers方程解的渐近性态  

Asymptotic behavior of solutions of generalized BBM-Burgers equation with boundary effect

作　　者：叶芳慧[1] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西玉林537000

出　　处：《暨南大学学报（自然科学与医学版）》2007年第3期224-228,共5页Journal of Jinan University(Natural Science & Medicine Edition)

摘　　要：研究了具有边界影响的广义BBM-Burgers方程ut+f(u)x=uxx+uxxt的解的渐近性态.对于具有一条边界影响的广义BBM-Burgers方程,用L2-能量方法证明初边值为小扰动的条件下,相应的一般初边值问题解的整体存在性及渐近收敛到一个驻波或一个稀疏波或这两种非线性波的叠加.Asymptotic behavior of solutions are studied for the generalized BBM-Burgers equation ut＋ f（u）x = uxx ＋ uxxt, with one-side boundary effect. Under the condition that the initial and boundary data have small perturbation, by using an L2-energy method it is proved that, the global solution of corresponding general initial-boundary value problem exists and it converges time-asymptotically to a stationary wave or a rarefaction wave or a superposition of these two kinds of waves.

关 键 词：广义BBM-BURGERS方程 初边值问题 解的渐近性态 先验估计 驻波 稀疏波 

分 类 号：O175.27[理学—数学]