| 具有非凸条件的单个守恒律初边值问题整体弱熵解的结构 |
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| 引用本文： | 崔慧萍,刘红霞. 具有非凸条件的单个守恒律初边值问题整体弱熵解的结构[J]. 暨南大学学报(自然科学与医学版), 2007, 28(1): 10-14 |
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| 作者姓名： | 崔慧萍 刘红霞 |
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| 作者单位： | 1. 广东药学院基础学院数学教研室,广东,广州,510006
2. 暨南大学数学系,广东,广州,510632 |
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| 基金项目： | 国家自然科学基金 , 广东省自然科学基金 |
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| 摘 要： | 在流函数具有有限个拐点,初始值为两段常数和边界值为常数的条件下,研究非凸单个守恒律的初边值问题整体弱熵解的结构、初等波与边界的相互作用情况以及弱熵解在边界附近的性态.
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| 关 键 词： | 非凸单个守恒律 初边值问题 边界熵条件 整体弱熵解 条件 非凸单个守恒律 初边值问题 弱熵解 解的结构 conditions conservation laws scalar problems value weak entropy solution global 性态 情况 相互作用 边界值 初等波 研究 常数 拐点 |
| 文章编号： | 1000-9965(2007)01-0010-05 |
| 修稿时间： | 2006-09-28 |
Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions |
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| CUI Hui-ping,LIU Hong-xia. Structure of global weak entropy solution for initial-boundary value problems of scalar conservation laws with non-convexity conditions[J]. Journal of Jinan University(Natural Science & Medicine Edition), 2007, 28(1): 10-14 |
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| Authors: | CUI Hui-ping LIU Hong-xia |
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| Affiliation: | 1. Guangdong Pharmaceutical University, Guangzhou 510006, China; 2. Department of Mathematics, Jinan University, Guangzhou 510632, China |
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| Abstract: | The structure of global weak entropy solutions, interaction of elementary waves and the boundary of solutions are studied, for initial-boundary value problems of scalar conservation laws under the condition that the flux function has finitely many inflection points and the initial data are two pieces of constant and the boundary data are constant. Furthermore, the behaviors of the weak entropy solutions nearby the boundary is also discussed. |
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| Keywords: | nonconvex scalar conservation laws initial-boundary value problem boundary entropy condition global weak entropy solution |
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