二维不可压Boussinesq方程组有限时间内的正则性

On the finite time regularity of the 2D incompressible Boussinesq equations

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.

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.