含有热源项的Brinkman方程组的结构稳定性

Structural Stability for the Brinkman Equations with a Heat Source

研究了在R^(3)中有界区域内的含有热源项的Brinkman方程组的解对边界条件的结构稳定性.首先得到一些关于温度T的先验估计,接着通过这些先验估计,构造一阶微分不等式,最后通过积分微分不等式,得到了解对边界系数的连续依赖性与收敛性结果.

The structural stability for the Brinkman equations with a heat source in a bounded region in R^(3) was studied.We firstly obtained some a priori bounds for the temperature T,with the aid of these useful a priori bounds,we formulated some differential inequalities.Finally,we got the results of the continuous dependence and convergence on the boundary coefficient for the solutions by integrating these differential inequalities.