二维不可压Boussinesq方程组有限时间内的正则性

摘要

In this work, we discuss the regularity problem of inviscid and viscous two dimensional incompressible Boussinesq equations in finite time.Two sufficient conditions for the blow up of the solution are obtained.%讨论有粘性及无粘性的二维不可压Boussinesq方程组在有限时间内的正则性问题.得到其解的爆破的两个充分性条件.