| ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS |
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| 作者姓名： | 阮立志 张晶 |
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| 作者单位： | Laboratory of Nonlinear Analysis Department of Mathematics Central China Normal University，Laboratory of Nonlinear Analysis Department of Mathematics，Central China Normal University，Wuhan 430079，China Department of Applied Mathematics，South-Central University for Nationalities，Wuhan 430074，China，Wuhan 430079，China |
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| 基金项目： | 国家自然科学基金，教育部科学技术研究项目，the South-Central University For Nationalities Natural Science Foundation of China |
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| 摘 要： | In this article, authors study the Cauch problem for a model of hyperbolic-elliptic coupled system derived from the one-dimensional system of the radiating gas. By considering the initial data as a small disturbances of rarefaction wave of inviscid Burgers equation, the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of rarefaction wave is proved. The analysis is based on a priori estimates and L2-energy method.
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| 关 键 词： | 放射性气体 双曲线-椭圆形耦合系统 稀疏波 渐进稳定 |
| 收稿时间： | 2004-12-05 |
Asymptotic stability of rarefaction wave for hyperbolic-elliptic coupled system in radiating gas |
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| Lizhi Ruan,Jing Zhang.ASYMPTOTIC STABILITY OF RAREFACTION WAVE FOR HYPERBOLIC-ELLIPTIC COUPLED SYSTEM IN RADIATING GAS[J].Acta Mathematica Scientia,2007,27(2):347-360. |
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| Authors: | Lizhi Ruan Jing Zhang |
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| Institution: | aLaboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China, Department of Applied Mathematics, South–Central University for Nationalities, Wuhan 430074, China;bLaboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, China |
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| Abstract: | In this article, authors study the Cauch problem for a model of hyperbolicelliptic coupled system derived from the one-dimensional system of the radiating gas.B(y) considering the initial data as a small disturbances of rarefaction wave of inviscid Burgers equation, the global existence of the solution to the corresponding Cauchy problem and asymptotic stability of rarefaction wave is proved. The analysis is based on a priori estimates and L2-energy method. |
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| Keywords: | Hyperbolic-elliptic coupled system rarefaction wave asymptotic stability L2-energy method |
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