| THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING |
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| 作者姓名： | ZHU Xusheng WANG Weike |
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| 作者单位： | ZHU XUSHENG WANG WEIKE School of Basic Sciences，East China Jiaotong University，Nanchang 330013，China; School of Mathematics and Statistics，Wuhan University，Wuhan 430072，China. Department of Mathematics，Shanghai Jiao Tong University，Shanghai 200030，China. |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (No,10131050)
the Science and Technology Committee Foundation of Shanghai (No.03JC14013). |
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| 摘 要： | The regular solutions of the isentropic Euler equations with degenerate linear damping for a perfect gas are studied in this paper. And a critical degenerate linear damping coefficient is found, such that if the degenerate linear damping coefficient is larger than it and the gas lies in a compact domain initially, then the regular solution will blow up in finite time; if the degenerate linear damping coefficient is less than it, then under some hypotheses on the initial data, the regular solution exists globally.
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| 关 键 词： | Euler方程 等熵性 退化线性衰减 正则解 广义存在性 |
| 收稿时间： | 5/4/2008 12:00:00 AM |
THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING |
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| ZHU Xusheng,WANG Weike.THE REGULAR SOLUTIONS OF THE ISENTROPIC EULER EQUATIONS WITH DEGENERATE LINEAR DAMPING[J].Chinese Annals of Mathematics,Series B,2005,26(4):583-598. |
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| Authors: | ZHU Xusheng and WANG Weike |
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| Institution: | [1]School of Basic Sciences, East China Jiaotong University, Nanchang 330013, China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China. [3]Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China. |
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| Abstract: | The regular solutions of the isentropic Euler equations with degenerate linear damping for a perfect gas are studied in this paper. And a critical degenerate linear damping coefficient is found, such that if the degenerate linear damping coefficient is larger than it and the gas lies in a compact domain initially, then the regular solution will blow up in finite time; if the degenerate linear damping coefficient is less than it, then under some hypotheses on the initial data, the regular solution exists globally. |
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| Keywords: | Compressible isentropic Euler equations Degenerate linear damping Regular solution Blow-up Global existence |
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