广义KDV-Burgers方程强稀疏波解的稳定性  

Stability of strong rarefaction wave for generalized KDV-Burgers equation

作　　者：陈琴[1] 冯蕊蕊[1] 刘红霞[1] 

机构地区：[1]暨南大学数学系,广东广州510632

出　　处：《暨南大学学报（自然科学与医学版）》2012年第3期230-235,共6页Journal of Jinan University(Natural Science & Medicine Edition)

基　　金：国家自然科学基金资助项目(10871082)

摘　　要：研究广义KDV-Burgers方程的一般初边值问题,用L2-能量方法和修正边界的技巧证明了在流函数为凸且满足增长条件|f″(u)|≤C(1+|u|)以及初边值为大扰动条件下其解的整体存在性及解渐近收敛到一个强稀疏波.The asymptotic behavior of solutions for a general initial-boundary value problem of generalized KDV-Burgers equation is concerned, whose boundary data depends on the time variable and convex-flux functionfsatisfies the certain growth condition ｜f＂（u）｜≤c（1＋｜u｜）. Provedthat the time global solution exists and converges time-asymptotically to the strong rarefaction wave for the large initialboundary disturbance, by using an LE-energy method and a technique of modifying boundary data.

关 键 词：广义KDV-BURGERS方程 一般边界条件 增长条件 大扰动 强稀疏波 

分 类 号：O175.27[理学—数学]