EXISTENCE OF GLOBAL SMOOTH SOLUTION TO JIN-XIN MODEL WITH LARGE INITIAL DATA  

作　　者：RuanLizhi ZhangZhiyong 

机构地区：[1]DepartmentofAppliedMathematics,CollegeofComputerScienceSouth-CentralUniversityForNationalities,Wuhan,430074,China [2]LaboratoryofNonlinearAnalysis,DepartmentofMathematicsCentralChinaNormalUniversity,Wuhan,430079,China

出　　处：《Journal of Partial Differential Equations》2004年第2期163-172,共10页偏微分方程（英文版）

摘　　要：In this paper, Under the assumption that the relaxation time ε is sufficiently small, we prove the existence of the global smooth solution to the Cauchy problem for the Jin-Xin model without any smallness assumption for the initial data.The analysis is based on some a priori estimates which are obtained by the method of characteristic and the maximum principle of first-order quasilinear hyperbolic system.

关 键 词：偏微分方程 假想 模型 极大值原理 

分 类 号：O175.2[理学—数学]