半无限柱形区域中相互作用的Fochheimer流与Darcy流的空间衰减估计

Spatial decay estimates for a Fochheimer fluid interfacing a Darcy fluid in a semi-infinite pipe

研究了在R3的半无限柱形区域中相互作用的Fochheimer流与Darcy流的解的空间性质。假设流体在Ω1中满足Forchheimer方程组,在Ω2中满足Darcy方程组,应用一阶微分不等式方法,得到解的空间衰减估计结果,并将其看作Saint-Venant原理在相互作用的流体中的应用。

Spatial properties for the solutions of the Fochheimer fluid interfacing a Darcy fluid in a semi-infinite pipe in R3 are studied.Assuming that the flow inΩ1 satisfy Forchheimer equations and inΩ2 satisfy Darcy equations.Using the method of first-order differential inequality,spatial decay estimates are obtained,which can be seen as an application of Saint-Venant’s principle in the interacting fluids.