| 可压缩等熵欧拉方程组外问题的爆破 |
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| 引用本文： | 朱旭生,陈家乐,汤传扬.可压缩等熵欧拉方程组外问题的爆破[J].华东交通大学学报,2014(3):105-109. |
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| 作者姓名： | 朱旭生 陈家乐 汤传扬 |
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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： | 国家自然科学基金项目（11161021）;江西省高校科技落地计划项目（KJLD12067） |
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| 摘 要： | 考虑等熵欧拉方程组在初始条件具有紧支集支撑下外问题的初边值问题经典解的爆破。通过创造性地构造新的泛函，当初始泛函足够大时得出了初边值问题的经典解在有限时间内爆破的结论。
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| 关 键 词： | 可压缩等熵欧拉方程组 泛函 经典解 爆破 |
Blowup of the Exterior Problem to Compressible Isentropic Euler Equations |
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| Zhu Xusheng,Chen Jiale,Tang Chuanyang.Blowup of the Exterior Problem to Compressible Isentropic Euler Equations[J].Journal of East China Jiaotong University,2014(3):105-109. |
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| Authors: | Zhu Xusheng Chen Jiale Tang Chuanyang |
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| Institution: | (School of Basic Science, East China Jiaotong University,Nanchang 330013,China) |
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| Abstract: | This paper discusses the blowup of classical solutions to initial-boundary value problem of the exterior problem for the compressible isentropic Euler equations under initial conditions with compact support. By con-structing a new functional,it maintains that the classical solution of initial-value problem is proved to be blown up in finite time when the initial functional is large enough. |
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| Keywords: | the compressible isentropic Euler equations functional classical solution blowup |
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