三维带阻尼项的等熵欧拉方程组解的爆破

Blowup of the Solutions of 3-Dimensional Isentropic Euler Equations with Damping

研究三维空间中带阻尼项的等熵可压缩欧拉方程组的初值问题经典解的爆破,通过构造两个一般的泛函,利用泛函方法,在初始泛函足够大的情况下,证明了经典解在某一时刻前必定爆破.

The blowup of classical solutions for the initial value problem of the isentropic compressible Euler equations in 3-dimensional space was studied. Two general functional were constructed and then by functional methods, the classical solutions were proved to blow up before a certain time when the initial functional is large enough.