• 论文 •

### 一类线性模型中参数的平衡LS估计的性质

1. 中南林业科技大学理学院, 长沙 410004
• 收稿日期:2010-05-11 出版日期:2011-07-25 发布日期:2011-09-27

BAI Chao. CONSTRUCTION OF GLOBAL WEAK ENTROPY SOLUTION  OF INITIAL-BOUNDARY VALUE PROBLEM FOR  NONCONVEX  SCALAR   CONSERVATION LAWS[J]. Journal of Systems Science and Mathematical Sciences, 2011, 31(7): 817-823.

### CONSTRUCTION OF GLOBAL WEAK ENTROPY SOLUTION  OF INITIAL-BOUNDARY VALUE PROBLEM FOR  NONCONVEX  SCALAR   CONSERVATION LAWS

BAI Chao

1. Department of Mathematics, Jinan University, Guangzhou  510632
• Received:2010-05-11 Online:2011-07-25 Published:2011-09-27

This paper is concerned with an initial-boundary problem of nonconvex scalar conservation laws with two pieces of constant initial data and
constant boundary data. Under the condition that the flux function has one inflection point, by the structure of weak entropy solution of the corresponding initial value problem and the boundary entropy condition developed by Bardos-Leroux-Nedelec, we give a construction method for the global weak entropy solution of the initial-boundary value problem and clarify the solution structure nearby the boundary. In contrast to the initial-boundary value problem for strictly convex
scalar conservation laws, the weak entropy solution of the initial-boundary value problem for nonconvex scalar conservation laws includes the following new interaction type: a contact or non-contact shock collides with the boundary and a new non-contact shock wave rebounds from the boundary.

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