| 关于一个非线性几何光学中的非严格双曲守恒律系统的研究 |
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| 引用本文： | 杨汉春,孙文华.关于一个非线性几何光学中的非严格双曲守恒律系统的研究[J].纯粹数学与应用数学,2004,20(1):1-5,23. |
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| 作者姓名： | 杨汉春 孙文华 |
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| 作者单位： | 云南大学数学系,云南,昆明,650091;云南大学数学系,云南,昆明,650091 |
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| 摘 要： | 研究了一个产生于非线性几何光学中的非严格双曲守恒律系统.该系统具有强非线性流函数项,且狄拉克激波可能同时出现在解的两个状态变量中.通过未知函数的一个变换,该系统的非线性流函数项得到弱化,从而其黎曼问题被完全解决.
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| 关 键 词： | 非严格双曲系统 狄拉克激波 广义Rankine-Hugonoit条件 熵条件 |
On a nonstrictly hyperbolic system of conservation laws in nonlinear geometric optics |
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| Abstract.On a nonstrictly hyperbolic system of conservation laws in nonlinear geometric optics[J].Pure and Applied Mathematics,2004,20(1):1-5,23. |
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| Authors: | Abstract |
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| Abstract: | This paper studies a non-strictly hyperbolic system of conservation laws with strong nonlinearity on the flux-functions arising in nonlinear geometric optics,whose solutions may contain delta shock waves in two state variables. By performing a transformation of unknown variables,the system is reduced to another one with weak nonlinearity on the flux-functions. Then the Riemann problem for the later is solved completely. |
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| Keywords: | non-strictly hyperbolic system delta-shock generalized Rankine-Hugo-niot Relation entropy condition |
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