Global existence and blow-up phenomena of classical solutions for the system of compressible adiabatic flow through porous media |
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| Authors: | Liu Fa-gui Kong De-xing |
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| Institution: | 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 |
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| Abstract: | 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.
Foundation items: the National Natural Science Foundation of China (10001024); the Funds for Major State Basic Research Projects (2000077306)
Biography: LIU Fa-gui (1965∼), Professor, Doctor |
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| Keywords: | porous media compressible adiabatic flow system of equations classical solution global existence blow-up |
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