退化抛物-双曲方程动力学解的唯一性  

Uniqueness of Kinetic Solutions to Quasilinear Anisotropic Degenerate Parabolic-Hyperbolic Equation

作　　者：郝兴文[1] 王泽军 HAO Xingwen;WANG Zejun(Corresponding author.School of Mathematics and Information,Weifang University,Weifang 261061,Shandong,China;Department of Mathematics,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]潍坊学院数学与信息科学学院,山东潍坊261061 [2]南京航空航天大学数学系,南京210016

出　　处：《数学年刊（A辑）》2018年第3期229-248,共20页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11571232;No.11401517;No.11671193)的资助

摘　　要：主要研究系数显含有时间和空间变量的退化抛物-双曲型方程柯西问题动力学解的唯一性.首先推广了这种类型方程的动力学公式,在给定系数适当的光滑性条件下,得到了动力学解的唯一性.This paper deals with the uniqueness of the kinetic solutions to Cauchy problem of general anisotropic degenerate parabolic-hyperbolic equations. Kinetic formulation is extended to such general degenerate parabolic-hyperbolic equations with coefficients de- pending on time-spatial variables. Contraction property of kinetic solutions is established under appropriate conditions on diffusion and convection functions.

关 键 词：退化抛物-双曲方程 动力学解 熵解 唯一性 

分 类 号：O175.29[理学—数学]