多孔介质中Brinkman方程组解的连续依赖性

Continuous dependence of solutions for the Brinkman equations in porous media

考虑了三维有界凸区域上带有Soret效应的Brinkman方程组的连续依赖性。利用微分不等式,得到解的相关估计,尤其是推导出了盐浓度的四阶范数估计。最终运用能量方法和先验估计,建立了方程组的解对Brinkman系数λ的连续依赖性。

The continuous dependence of Brinkman equations with Soret effect on a three-dimensional bounded convex domain is considered.By using differential inequality,the correlation estimates of the solution is obtained,especially the fourth-order norm estimation of salt concentration is derived.Finally,using the energy method and the prior estimation,the continuous dependence of the solution of the equations on Brinkman coefficientλis established.