带退化粘性项的单个守恒律一般初边值问题的解相应于稀疏波的L^2-衰减估计  

L^2-decay rate to rarefaction wave for general initial-boundary value problem of scalar conservation law with degenerate viscosity

作　　者：冯蕊蕊[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）》2010年第5期442-447,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：研究具有一般边界条件的带退化粘性项的单个守恒律,导出了在流函数为凸的条件下其解渐近衰减到稀疏波的一个L2-衰减估计,从而澄清了一般边界条件对衰减率的影响.The With the general boundary data problem for scalar conservation law with degenerate viscosity is concerned. Under the condition that the flux function is convex, using L1-estimate derives a L2-decay rate of the rarefaction wave for scalar conservation law with degenerate viscosity. From this decay rate estimate, the effect of the general boundary data on the decay rate is clarified.

关 键 词：退化粘性项 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]