| 一类偶合双曲守恒律系统的柯西问题 |
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| 引用本文： | 孙文华,杨汉春. 一类偶合双曲守恒律系统的柯西问题[J]. 云南大学学报(自然科学版), 2004, 26(1): 6-10 |
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| 作者姓名： | 孙文华 杨汉春 |
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| 作者单位： | 云南大学数学系,云南昆明,650091 |
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| 基金项目： | ThisresearchissupportedbytheNaturalScienceFoundationofChina( 1 0 2 2 6 0 32 ) |
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| 摘 要： | 借助于一个势函数的凸包,研究了一类偶合双曲守恒律系统的柯西问题.构造了包含狄拉克激波的整体显示解,并直接证明了所构造的解是一个测度解.
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| 关 键 词： | 柯西问题 偶合双曲系统 凸包 狄拉克激波 |
Cauchy problem for a class of coupled hyperbolic systems of conservation laws |
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| Abstract. Cauchy problem for a class of coupled hyperbolic systems of conservation laws[J]. Journal of Yunnan University(Natural Sciences), 2004, 26(1): 6-10 |
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| Authors: | Abstract |
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| Affiliation: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | The Cauchy problem for a class of coupled hyperbolic system of conservation laws is studied.Using convex hull of a potential function,the global solution including delta shock waves is constructed explicitly,and is then proved to be a measure solution directly. |
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| Keywords: | Cauchy problem coupled hyperbolic system convex hull delta-shock |
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