半无穷柱体上Darcy流体解的连续依赖性

Continuous Dependence of Solutions for Darcy Fluid in A Semi-Infinite Cylinder

研究了多孔介质中的Darcy流体.假设流体通过一个半无穷的柱体,在柱体的侧面上满足齐次边界条件,利用微分不等式技术和能量估计法,在前人工作的基础上推导了解的先验估计,最后利用此先验界,证明了解对重力函数的连续依赖性.

In the report,the Darcy fluid in porous media was analyzed. Assuming that the fluid passes through a semi-infinite cylinder and satisfies homogeneous boundary conditions on the side of the cylinder,based on previous work,the differential inequality technology and energy estimation methods were used to derive a priori estimates of the solutions. And the priori bounds were used to prove the continuous dependence of the solutions on the gravity function.