考虑等熵欧拉方程组在初始条件具有紧支集支撑下外问题的初边值问题经典解的爆破。通过创造性地构造新的泛函,当初始泛函足够大时得出了初边值问题的经典解在有限时间内爆破的结论。
This paper discusses the blowup of classical solutions to initial-boundary value problem of the exterior problem for the compressible isentropic Euler equations under initial conditions with compact support. By con-structing a new functional,it maintains that the classical solution of initial-value problem is proved to be blown up in finite time when the initial functional is large enough.