双层浅水波模型柯西问题的经典解  

Classical Solutions to Cauchy Problem for the Model of Two-Layer Flows

作　　者：刘见礼[1] 张小丹[1] 

机构地区：[1]上海大学数学系,上海200444

出　　处：《数学学报（中文版）》2015年第6期985-992,共8页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11401367);教育部博士点基金资助项目(20133108120002)

摘　　要：主要研究浅水理论中双层浅水波模型柯西问题的经典解.在适当的初值条件下,得到整体经典解存在唯一性的充要条件.同时对单层浅水波模型也得到相应结果.We consider classical solutions to Cauchy problem for the model of twolayer flows,which appears in shallow water theory.Under the appropriate assumptions on initial data,we can obtain the necessary and sufficient conditions of the global existence of C^1 solutions.Furthermore,similar conclusion can be obtained for the system of one-layer flow.

关 键 词：柯西问题 经典解 浅水波方程 

分 类 号：O175.27[理学—数学]