多孔介质中一类Boussinesq方程组的连续依赖性

Continuous dependence result for Boussinesq type equations in a porous medium

研究了二维空间多孔介质中与溶解度和温度有关的Boussinesq方程组的结构稳定性。首先得到了一些有用的先验界,然后在此基础上推出了解所满足的微分不等式,并求解该微分不等式,最后建立了解对结构系数λ的连续依赖性结果。

The structural stability of a Boussinesq type model with temperature dependent solubility is studied.We firstly obtain some useful priory bounds in R2.Using these bounds,we then formulate a differential inequality that the solution satisfies and then solve this inequality.At last,we get the continuous dependence for the constructive coefficientλ.