| ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA WITH BOUNDARY EFFECTS |
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| 引用本文： | HSIAO Ling,LI Hailiang. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE ADIABATIC FLOW THROUGH POROUS MEDIA WITH BOUNDARY EFFECTS[J]. 数学年刊B辑(英文版), 2002, 23(1): 109-118 |
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| 作者姓名： | HSIAO Ling LI Hailiang |
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| 作者单位： | HSIAO LING，LI HAILIANG Institute of Mathematics，Academia Sinica，Beijing 100080，China. E-mail: hsiao@math03.math.ac.cn Institut fur Mathematik，Universitat Wien，A-1090，Austria. E-mail: hailiang.li@univie.ac.at |
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| 基金项目： | the MST Grant #1999075107 and the Innovation funds of AMSS, CAS of China. |
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| 摘 要： |
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| 关 键 词： | 渐进行为 光滑解 可压缩绝热流 多孔介质 边界效应 初边值问题 存在性 大时间行为 熵 Cauchy问题 |
| 收稿时间： | 2000-03-17 |
| 修稿时间： | 2016-04-01 |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE ADIABATIC FLOWTHROUGH POROUS MEDIA WITH BOUNDARY EFFECTS |
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| HSIAO Ling and LI Hailiang. ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE COMPRESSIBLE ADIABATIC FLOWTHROUGH POROUS MEDIA WITH BOUNDARY EFFECTS[J]. Chinese Annals of Mathematics,Series B, 2002, 23(1): 109-118 |
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| Authors: | HSIAO Ling and LI Hailiang |
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| Affiliation: | 1. Institute of Mathematics, Academia Sinica, Beijing 100080, China.
2. Institut für Mathematik, Universitat Wien, A-1090, Austria. |
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| Abstract: | The initial boundary value problems (IBVP) for the system of compressible adiabatic flow through porous media and the IBVP for its corresponding reduced system through Darcy' laws on [0, 1] x [0, +] are considered respectively. The global existence of smooth solutions to the IBVP problems for two systems are proved, and their large-time behavior is analyzed. The time-asymptotic equivalence of these two systems are investigated, the decay rate of the difference of solutions between these two systems are shown to be determined explicitly by the initial perturbations and boundary effects. It is found that the oscillation of the specific volume can be cancelled by that of entropy, i.e., the oscillation of the specific volume and entropy is not required to be small. |
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| Keywords: | Initial boundary value problem Global existence Large-time behavior |
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