半无限管中Brinkman-Forchheimer流体对接Forchheimer流体的衰减估计

Decay Estimates for the Brinkman-Fochheimer Fluid Interfacing with Forchheimer Fluid in a Semi-infinite Pipe

对半无限柱体区域中的多孔介质中的两种相互作用的B rinkman-Forchheimer流与Darcy流进行研究.通过构造一个加权的能量表达式,得到该表达式所满足的微分不等式,然后通过求解该不等式得到解的空间衰减估计结果.这个结果可看作圣维南原则的一个应用.

We study the Brinkman-Forchheimer equations interfacing with a Forchheimer fluid in a semi-infinite cylinder in a porous medium.We define a weighted energy expression,and get the expression satisfying a differential inequality,then we can get the spatial decay estimates result for the solutions by solving this inequality.The result can be seen as version of Saint-Venant’s principle.