一类双扩散对流方程组的解对Lewis系数的连续依赖性研究

Continuous dependence of solutions of a class of double diffusion convection equations on Lewis coefficients

研究了有界区域内多孔介质中一类双扩散扰动模型的解的结构稳定性。首先得到了一些有用的先验估计,然后利用这些先验估计构建了解的差所满足的一阶微分不等式,最后通过积分该微分不等式,建立了解对Lewis系数L_(e)的连续依赖性结果。该结果表明,用双扩散扰动模型描述多孔介质中的流体流动是准确的。

This paper studies the structural stability for solutions of a double diffusion perturbation model in porous medium in a bounded domain.We firstly obtain some useful a priori estimates.Using these a priori estimates,we then formulate a first order differential inequality that the solution satisfies.Finally,by integrating the inequality,we get the result of continuous dependence for the solutions on the Lewis coefficient Le.This result shows that it is accurate for the double diffusion perturbation model to be used to describe the flow in porous media.