| 具张弛的拟线性双曲守恒律方程组 |
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| 引用本文： | 刘法贵,张愿章.具张弛的拟线性双曲守恒律方程组[J].数学季刊,2007,22(1):143-154. |
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| 作者姓名： | 刘法贵 张愿章 |
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| 作者单位： | Department of Mathematics，North China Institute of Water Conservancy and Hydroelectric Power，Zhengzhou 450011，China |
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| 基金项目： | 国家自然科学基金;河南省自然科学基金;河南省教育厅自然科学基金 |
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| 摘 要： | In this paper,we investigate the relaxation phenomenon for quasilinear hyper- bolic conservation laws,and obtain global smooth solutions and the life span of classical solutions to its Canchy problem.These results shows that the relaxation admits the effects of dissipation.
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| 关 键 词： | 拟线性双曲型 守恒定律 张弛现象 耗散 全局经典解 |
| 文章编号： | 1002-0462(2007)01-0142-12 |
| 修稿时间： | 2006年1月30日 |
Quasilinear Hyperbolic Conservation Laws with Relaxation |
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| LIU Fa-gui,ZHANG Yuan-zhang.Quasilinear Hyperbolic Conservation Laws with Relaxation[J].Chinese Quarterly Journal of Mathematics,2007,22(1):143-154. |
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| Authors: | LIU Fa-gui ZHANG Yuan-zhang |
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| Institution: | Department of Mathematics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011, China |
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| Abstract: | In this paper,we investigate the relaxation phenomenon for quasilinear hyper- bolic conservation laws,and obtain global smooth solutions and the life span of classical solutions to its Canchy problem.These results shows that the relaxation admits the effects of dissipation. |
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| Keywords: | conservation laws relaxation dissipation global classical solution life span |
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