MULTI-DIMENSIONAL RIEMANN PROBLEM OF SCALAR CONSERVATION LAW

作     者：杨小舟 

作者机构：Shantou Univ Dept Math Shantou 515063 Guangdong Peoples R China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：1999年第19卷第2期

页      面：190-200页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：National Tian-Yuan Mathematics Foundation of China!Grant No: 1937015 

主　　题：Riemann problem conservation laws implicit function 

摘      要：This paper considers multi-dimensional Riemann problem in another kind of view. The author gets solution of (1.1)(1.2) in Theorem 3.4 and proves itu uniqueness. A new method of solution constructing is applied, which is different from the usual self-similar transformation. The author also discusses some generalized concepts in multi-dimensional situation (such as convex condition , left value and right value , etc). An example is finally given to demonstrate that rarefaction wave solution of (1.1)(1.2) is not self-similar.