三维等熵欧拉方程组解的爆破

Blow Up of Isentropic Euler Equations in Three Dimensions

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.

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） ＆lt;0 , if the initial momentum of cer-tain functions is large enough , then it follows that the classical solution must blow up in a limited time .