| 带阻尼项欧拉方程组解的爆破 |
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| 引用本文： | 李翠,朱旭生,李芳娥. 带阻尼项欧拉方程组解的爆破[J]. 江西科学, 2010, 28(3): 283-284,294 |
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| 作者姓名： | 李翠 朱旭生 李芳娥 |
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| 作者单位： | 华东交通大学基础科学学院,江西,南昌,330013 |
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| 基金项目： | 国家自然科学基金资助项目，江西省自然科学基金项目 |
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| 摘 要： | 在假设某些初始数据较大的条件下,研究理想气体的带阻尼项的可压缩欧拉方程组。通过构造适当的泛函,得到了其Cauchy问题的经典解在有限时间内必定爆破的结论。
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| 关 键 词： | 可压缩非等熵欧拉方程组 爆破 |
Blow-up of Solutions to the Three-dimension Compressible Euler Equations of Damping |
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| LI Cui,ZHU Xu-sheng,LI Fang-e. Blow-up of Solutions to the Three-dimension Compressible Euler Equations of Damping[J]. Jiangxi Science, 2010, 28(3): 283-284,294 |
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| Authors: | LI Cui ZHU Xu-sheng LI Fang-e |
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| Affiliation: | (School of Basic Sciences,East China Jiaotong University,Jiangxi Nanchang 330013 PRC) |
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| Abstract: | Under some hypotheses on the initial data,the Cauchy problem of the non-isentropic compressible Euler equations with linear damping for a perfect gas is studied in this paper.By functional methods,the classical solution is proved to be blowed up in finite time if some initial data is sufficiently large. |
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| Keywords: | The non-isentropic compressible Euler equations Blow-up |
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