一个退化抛物-双曲方程柯西问题熵解的唯一性  

Uniqueness of the Entropy Solutions to Cauchy Problem for a Degenerate Parabolic-Hyperbolic Equation

作　　者：郝兴文[1,2] 王钦[1] 

机构地区：[1]上海交通大学数学系,上海200240 [2]潍坊学院数学与信息科学学院,山东潍坊261061

出　　处：《上海交通大学学报》2011年第7期1085-1090,共6页Journal of Shanghai Jiaotong University

基　　金：国家自然科学基金资助项目(10571120;10971135);上海市曙光项目(06SG11);潍坊学院博士基金项目(2011BS11)

摘　　要：Kuznetsov方法是估计双曲型方程熵解与它的数值解之间误差的有效方法,文中应用该方法证明一个二阶退化抛物-双曲方程熵解的唯一性,并用双变量方法得到了熵解在初值的L1连续性.Kuznetsov＇s method is a useful tool to establish the error estimate between numerical solutions and entropy weak solution for hyperbolic equation.This paper uses this method to prove the uniqueness to the Cauchy problem of a special example of second order degenerate parabolic-hyperbolic equation,Meanwhile,the paper obtained that entropy solutions are continuous at t=0 in the sense of L1 norm by the double variable device.

关 键 词：Kuznetsov方法 退化抛物-双曲方程 熵解 误差估计 

分 类 号：O175.27[理学—数学]