| 一类非线性双曲偶合方程组广义解的存在性 |
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| 引用本文： | 陆云光.一类非线性双曲偶合方程组广义解的存在性[J].系统科学与数学,1996,16(2):125-135. |
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| 作者姓名： | 陆云光 |
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| 作者单位： | 中国科学院数学物理研究所 |
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| 摘 要： | 本文考虑了具有形式ｎ的弱偶合双曲守恒方程组广义解的存在性问题．极大值原理导出了粘性解Ｌ∞模先验估计，关于单个守恒律简化的补偿列紧方法给出了粘性解的收敛性，即广义解的存在性．
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| 关 键 词： | 双曲守恒方程组，广义解，极大值原理，收敛性 |
EXISTENCE OF GENERALIZED SOLUTIONS FOR SOME COUPLED SYSTEM OF NONLINEAR HYPERBOLIC EQUATIONS |
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| LU YUN-GUANG.EXISTENCE OF GENERALIZED SOLUTIONS FOR SOME COUPLED SYSTEM OF NONLINEAR HYPERBOLIC EQUATIONS[J].Journal of Systems Science and Mathematical Sciences,1996,16(2):125-135. |
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| Authors: | LU YUN-GUANG |
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| Institution: | Institute of Mathematical Sciences,Academia Silica,Wuhan 430071 |
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| Abstract: | in this paper, we consider the Cauchy problem for some coupled systems of nonlinear hyperbolic equations. The existence of the generalized solution is obtained by using the theory of the compensated compactness with the techniique of the wishing viscosity. |
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| Keywords: | Hyperbolic equation coupled system generalized solution compensated compactness |
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