| 具粘性双曲型方程组解的整体存在性 |
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| 引用本文： | 刘法贵. 具粘性双曲型方程组解的整体存在性[J]. 吉首大学学报(自然科学版), 2002, 23(1): 24-28 |
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| 作者姓名： | 刘法贵 |
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| 作者单位： | (华北水利水电学院信息工程系，河南 郑州 450008) |
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| 基金项目： | theNSFC(199710 6 2 ) |
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| 摘 要： | 对于具粘性双曲型方程组Cauchy问题，通过引进Lax熵-熵流对的方法，得到了解的整体存在性，利用补偿紧致的方法证明了L∞逼近解的收敛性.
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| 关 键 词： | 整体解 补偿紧致 熵-熵流对 |
| 文章编号： | 1007-2985(2002)01-0024-05 |
| 修稿时间： | 2001-09-04 |
Global Existence of Solutions to Nonlinear Hyperbolic Equations With Viscosity |
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| LIU Fa gui. Global Existence of Solutions to Nonlinear Hyperbolic Equations With Viscosity[J]. Journal of Jishou University(Natural Science Edition), 2002, 23(1): 24-28 |
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| Authors: | LIU Fa gui |
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| Affiliation: | (North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008,China) |
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| Abstract: | For Cauchy problem of nonlinear hyperbolic equation with viscosity, the global existence of solutions is obtained by introducing the entropy- entropy flux in the sense of Lax, and by using of the mothod of compensated compactness, the convergence of L∞ bounded approximating solutions is proved. |
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| Keywords: | global solution compensated compactness entropy-entropy flux |
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