| 一个非严格双曲型方程组粘性逼近解的收敛性 |
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| 引用本文： | 陆云光,王振,朱长江,赵会江.一个非严格双曲型方程组粘性逼近解的收敛性[J].系统科学与数学,1996,16(1):037-047. |
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| 作者姓名： | 陆云光 王振 朱长江 赵会江 |
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| 作者单位： | 中国科学院武汉数学物理研究所数学物理青年实验室 |
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| 摘 要： | 本文讨论非严格双曲型方程组的粘性逼近解的收敛性，当ｆ满足一定条件，初值为有界可测函数时，利用补偿紧致的理论及对前进熵波的分析，在没有对粘性解导数一致界估计的情况下，证明了粘性逼近解存在一个子序列在强拓扑意义下收敛．
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| 关 键 词： | 熵，不变区域，拟凸，Riemann不变量，补偿紧致理论，Young测度 |
CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM |
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| LU YUN-GUANG,WANG ZHEN, ZHU CHANG-JIANG, ZHAO HUI-JIANG.CONVERGENCE OF THE VISCOSITY METHOD FOR A NONSTRICTLY HYPERBOLIC SYSTEM[J].Journal of Systems Science and Mathematical Sciences,1996,16(1):037-047. |
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| Authors: | LU YUN-GUANG WANG ZHEN ZHU CHANG-JIANG ZHAO HUI-JIANG |
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| Institution: | Young Scientist Laboratory of Mathematical Physics, Wuhan Institute Mathematical Science, Academia Sinica, Wuhan 430071;(2)Young Scientist Laboratory of Mathematical Physics, Wuhan Institute Mathematical Science, Academia Sinica, Wuhan 430071;(3)Young Scientist Laboratory of Math |
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| Abstract: | A convergence theorem for the viscosity method applied to the following nonstrictly hyperbolic system is established. Convergence of a subsequence in the strong topology is proved without uniform estimates on the derivatives, by using the theory of compensated compactness and an analysis of progressing entrory waves. |
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| Keywords: | Entropy invariant regions quasi-convex Riemann invariant theory of compensated compactness Young measure |
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