高维BBM-Burgers方程解的衰减估计
THE DECAY ESTIMATE OF SOLUTIONS FOR BBM-BURGERS EQUATION IN MULTI DIMENSION

本文研究了多维空间的Benjamin-Bona-Mahony-Burgers方程.在解整体存在的前提下，利用能量积分、时频分解等方法，得到此方程柯西问题解的衰减估计，并且此方程的衰减速率与热传导方程的相同.
In this paper, Benjamin-Bona-Mahony-Burgers equation in multi-dimensional space is investigated. When the global solution of this equation with initial data exists, by using methods of energy estimate and time-frequency decomposition, we obtain the decay estimate of the solution, and the decay rate is the same as that of the heat conduction equation