GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

Applied Mathematics and Mechanics (English Edition) ›› 2004, Vol. 25 ›› Issue (6): 703-713.

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

刘法贵¹, 孔德兴²

1. Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008, P. R. China;
2. Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

收稿日期:2001-11-27 修回日期:2003-12-08 出版日期:2004-06-18 发布日期:2004-06-18
基金资助:
the National Natural Science Foundation of China(10001024);the Funds for Major State Basic Research Projects(2000077306)

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

LIU Fa-gui¹, KONG De-xing²

1. Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450008, P. R. China;
2. Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received:2001-11-27 Revised:2003-12-08 Online:2004-06-18 Published:2004-06-18
Supported by:
the National Natural Science Foundation of China(10001024);the Funds for Major State Basic Research Projects(2000077306)

摘要/Abstract

摘要： By means of maximum principle for nonlinear hyperbolic systems, the results given by HSIAO Ling and D. Serre was improved for Cauchy problem of compressible adiabatic flow through porous media, and a complete result on the global existence and the blow-up phenomena of classical solutions of these systems. These results show that the dissipation is strong enough to preserve the smoothness of ‘small’ solution.

中图分类号:

O175.27

刘法贵;孔德兴. GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 703-713.

LIU Fa-gui;KONG De-xing. GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(6): 703-713.

参考文献

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GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

GLOBAL EXISTENCE AND BLOW-UP PHENOMENA OF CLASSICAL SOLUTIONS FOR THE SYSTEM OF COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA

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