标题： 二维粘性流中自平衡障碍物的速度优化 显示英文标题

标题： Velocity optimization of self-equilibrated obstacles in a two-dimensional viscous flow

摘要： 一个障碍物被浸入外部驱动的二维斯托克斯或纳维-斯托克斯流体中。 我们在流动处于稳态假设下研究该障碍物的自平衡条件。 然后我们通过改变其形状来优化障碍物的平动和/或角速度。 为了允许一般的变形，我们必须考虑一个非常大的障碍物类别，其中“迹”的概念是没有意义的。 这迫使我们在测度论环境中重新审视斯托克斯和纳维-斯托克斯的自平衡概念。 显示英文摘要

摘要： An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the flow. We then seek to optimize the translational and/or angular velocity of the obstacle by varying its shape. To allow general variations, we must consider a very large class of obstacles for which the notion of trace is meaningless. This forces us to revisit the notion of self-equilibration for both Stokes and Navier-Stokes in a measure theoretic environment.