Dissipative Structure and Entropy for Hyperbolic Systems of Balance Laws
Dissipative Structure and Entropy for Hyperbolic Systems of Balance Laws
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DOI：
10.1007/s00205-004-0330-9
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发表时间：
2004-07
影响因子：
2.5
通讯作者：
S. Kawashima;W. Yong
中科院分区：
文献类型：
--
作者：
S. Kawashima;W. Yong
本文引入了平衡律双曲系统的熵条件。在此条件下，我们利用Chapman-Enskog展开导出了相应的粘性守恒定律。进一步讨论了结构条件，以发展平衡律和粘滞守恒律的（局部和全局）存在性理论。
In this paper, we introduce an entropy condition for hyperbolic systems of balance laws. Under this condition, we use the Chapman-Enskog expansion to derive the corresponding viscous conservation laws. Further structural conditions are discussed in order to develop (local and global) existence theories for the balance laws and viscous conservation laws.