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

作　　者：石金诚 梁劲驹 肖胜中[3] SHI Jin-cheng;LIANG Jin-ju;XIAO Sheng-zhong(Huashang College Guangdong University of Finance&Economics,Guangzhou 511300,China;Department of Applied Mathematics,Guangdong University of Finance,Guangzhou 510521,China;Guangdong AIB Polytechnic College,Guangzhou 510507,China)

机构地区：[1]广东财经大学华商学院,广东广州511300 [2]广东金融学院应用数学系,广东广州510521 [3]广东农工商职业技术学院科研处,广东广州510507

出　　处：《数学的实践与认识》2020年第17期169-180,共12页Mathematics in Practice and Theory

基　　金：广东财经大学华商学院校内导师制项目(2019HSDS28)。

摘　　要：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.

关 键 词：圣维南原理 指数衰减 Forchheimer流体 

分 类 号：O175[理学—数学] O35[理学—基础数学]