Kdv-Burgers方程初边值问题的L^p-衰减估计  

L^p-decay rate of initial-boundary value problem of Kdv-Burgers equation

作　　者：易菊燕[1] 罗祠军[1] 陈诚[1] 

机构地区：[1]暨南大学数学系,广州510632

出　　处：《哈尔滨商业大学学报（自然科学版）》2012年第5期609-615,共7页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国家自然科学基金(10871082)

摘　　要：在半空间中讨论具有一般边界的广义KDV-Burgers方程的解收敛到稀疏波的收敛率.在流函数为凸和小扰动的条件下,使用L1-估计导出了解渐近衰减到稀疏波的一个Lp-衰减估计,从而澄清了一般边界条件对衰减率的影响.This paper was concerned with convergence rates toward the rarefaction waves of the solutions for general KDV-Burgers equation.Under the condition of convex flux and small perturbation for the initial data,using L-1-estimate derives a Lp-decay rate of the rarefaction wave for general KDV-Burgers equation.From the decay rate estimation,the effect of the general boundary data on the decay rate was clarified.

关 键 词：广义KDV-BURGERS方程 一般初边值问题 稀疏波 L1-估计 衰减估计 

分 类 号：O175.27[理学—数学]