研究了三维Boussinesq方程在带有光滑边界条件下有界区域的爆破性问题,由于耗散项和边界的影响,证实了方程中速度项的梯度控制其解的爆破性,并且速度场比温度函数起着更重要的作用.“,”In this paper the problem of blow-up of smooth solutions for the 3-D Boussinesq equations over a bounded domain with smooth boundary is considered.Owing to the diffusion and the boundary effects,it shows that the maximum norm of the gradient of velocity controls the blow-up of the solutions,the velocity plays a more dominant role than the scalar temperature function.