具粘性双曲型方程组解的整体存在性

journal6 ›› 2002, Vol. 23 ›› Issue (1): 24-28.

具粘性双曲型方程组解的整体存在性

(华北水利水电学院信息工程系，河南郑州 450008)

出版日期:2002-03-15 发布日期:2013-01-05

Global Existence of Solutions to Nonlinear HyperbolicEquations With Viscosity

(North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008,China)

Online:2002-03-15 Published:2013-01-05
About author:LIU Fa-gui(1965-),male,was bornin Neixiang,Henan Provinc,associate professor of North China Institute of Water Conservancy and Hydroelectric Power, Ph. doctor, area of research is partial differential equations and their applications.
Supported by:
This research is supported by the NSFC(19971062)

摘要/Abstract

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.

关键词： 整体解, 补偿紧致, 熵-熵流对

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.

Key words: global , solution；compensated compactness；entropy-entropy flux

刘法贵. 具粘性双曲型方程组解的整体存在性[J]. journal6, 2002, 23(1): 24-28.

LIU Fa-Gui. Global Existence of Solutions to Nonlinear HyperbolicEquations With Viscosity[J]. journal6, 2002, 23(1): 24-28.

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