| 二维等熵可压欧拉方程古典解的存在性(英文) |
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| 引用本文： | 高真圣,张培欣.二维等熵可压欧拉方程古典解的存在性(英文)[J].数学研究,2013(3):221-232. |
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| 作者姓名： | 高真圣 张培欣 |
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| 作者单位： | 华侨大学数学科学学院,福建泉州362021 |
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| 基金项目： | Supported by the Fundamental Research Funds for the Central Universities （llQZR16 and llQZR18）and the Research Funds of Huaqiao University（12BS232）. |
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| 摘 要： | 研究二维等熵可压缩欧拉方程的古典解存在性.利用迭代技巧,得到解的局部存在性及唯一性,并且还证明了解在有限时间内爆破,即可压缩欧拉方程不存在全局古典解.
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| 关 键 词： | 欧拉方程 存在性 爆破准则 |
Local Existence of Classical Solution of the 2D Isentropic Compressible Euler Equations |
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| Gao Zhensheng Zhang Peixin.Local Existence of Classical Solution of the 2D Isentropic Compressible Euler Equations[J].Journal of Mathematical Study,2013(3):221-232. |
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| Authors: | Gao Zhensheng Zhang Peixin |
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| Institution: | Gao Zhensheng Zhang Peixin (School of Mathematical Sciences, Huacliao University, Quanzhotr Fujian 362021) |
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| Abstract: | In this paper, the authors study the local existence of classical solution of the 2D isentropic compressible Euler equation, by using the iterative approach, the local existence and uniqueness is obtained, and also proved that the solution blow up in finite time, that is, there is no global classical solution for compressible Euler equation. |
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| Keywords: | Isentropic compressible Euler equations Local existence Blow-up criterion |
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