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朱旭生, 艾利娜, 汤传扬. 三维等熵欧拉方程组解的爆破[J]. 信阳师范学院学报(自然科学版), 2015, 28(1): 33-35. DOI: 10.3969/j.issn.1003-0972.2015.01.009
引用本文: 朱旭生, 艾利娜, 汤传扬. 三维等熵欧拉方程组解的爆破[J]. 信阳师范学院学报(自然科学版), 2015, 28(1): 33-35. DOI: 10.3969/j.issn.1003-0972.2015.01.009
shu
Zhu Xusheng , Ai Lina , Tang Chuanyang . Blow Up of Isentropic Euler Equations in Three Dimensions[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(1): 33-35. DOI: 10.3969/j.issn.1003-0972.2015.01.009
Citation: Zhu Xusheng , Ai Lina , Tang Chuanyang . Blow Up of Isentropic Euler Equations in Three Dimensions[J]. Journal of Xinyang Normal University (Natural Science Edition), 2015, 28(1): 33-35. DOI: 10.3969/j.issn.1003-0972.2015.01.009
shu

三维等熵欧拉方程组解的爆破

Blow Up of Isentropic Euler Equations in Three Dimensions

    摘要
  • 摘要: 研究了带阻尼项的三维等熵欧拉方程组初值问题经典解的爆破.在M(0)0条件下,若初始动量的某些泛函足够大时,得到了其经典解在有限时间内必定发生爆破的结论.

     

    Abstract: The blow up of the initial value problems of classical solutions of the isentropic Euler equations with damping term in three dimensions was investigated. Under the condition of M(0)<0, if the initial momentum of certain functions is large enough, then it follows that the classical solution must blow up  in a limited time

     

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