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一类非线性双曲偶合方程组广义解的存在性 被引量:3

EXISTENCE OF GENERALIZED SOLUTIONS FOR SOME COUPLED SYSTEM OF NONLINEAR HYPERBOLIC EQUATIONS
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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. 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.
作者 陆云光
出处 《系统科学与数学》 CSCD 北大核心 1996年第2期125-135,共11页 Journal of Systems Science and Mathematical Sciences
关键词 广义解 初值问题 双曲偶合方程组 存在性 非线性 Hyperbolic equation coupled system generalized solution compensated compactness
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参考文献6

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同被引文献29

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