三维等熵欧拉方程组解的爆破
Blow Up of Isentropic Euler Equations in Three Dimensions
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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