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The Time Optimal Control of Two Dimensional Convective Brinkman–Forchheimer Equations
Applied Mathematics and Optimization ( IF 1.8 ) Pub Date : 2021-02-11 , DOI: 10.1007/s00245-021-09748-w Manil T. Mohan
中文翻译:
二维对流Brinkman-Forchheimer方程的时间最优控制
更新日期:2021-02-12
Applied Mathematics and Optimization ( IF 1.8 ) Pub Date : 2021-02-11 , DOI: 10.1007/s00245-021-09748-w Manil T. Mohan
In this work, we discuss the time optimal control of two dimensional convective Brinkman–Forchheimer (2D CBF) equations, which describe the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. We establish Pontryagin’s maximum principle for the time optimal control of the 2D CBF equations.
中文翻译:
二维对流Brinkman-Forchheimer方程的时间最优控制
在这项工作中,我们讨论了二维对流Brinkman-Forchheimer(2D CBF)方程的时间最优控制,该方程描述了不可压缩粘性流体通过刚性,均质,各向同性,多孔介质的运动。我们建立了庞特里亚金的最大原理,用于二维CBF方程的时间最优控制。