二维半线性松驰模型初边值问题解的大时间性态  

Large Time Behavior of Solutions to the Initial-boundary Value Problem for Two-dimensional Semilinear Relaxation Model

作　　者：钟伟明[1] 卢伟山[1] 冯蕊蕊[1] 

机构地区：[1]暨南大学数学系

出　　处：《佳木斯大学学报（自然科学版）》2010年第4期565-572,共8页Journal of Jiamusi University：Natural Science Edition

基　　金：国家自然科学基金天元基金项目(10926141)

摘　　要：本文研究具有常数边界数据影响的二维半线性松驰模型初边值问题解的大时间性态,利用L2-能量方法,通过对边界积分的处理,证明了在初始扰动小的条件下相应问题的解渐近收敛到一个强平面稀疏波.This paper is concerned with the large time behavior of solutions of the initial-boundary value problem for the two-dimensional semilinear relaxation model with constant boundary data effect. It is proved that the solution of this problem converges time-asymptotically to a strong planar rarefaction wave for small initial disturbance by using an L2-energy method and dealing with the boundary integral.

关 键 词：半线性松驰模型 初边值问题 渐近收敛 强平面稀疏波 L2-能量方法 

分 类 号：O175.27[理学—数学]