标题： 一个在平面流体中密度大的小固体物体是可忽略的 显示英文标题

标题： A small solid body with large density in a planar fluid is negligible

摘要： 在本文中，我们考虑一个在充满整个平面的粘性流体中运动的小刚体。我们假设刚体的直径趋于0，初始速度具有有界能量，并且刚体的密度趋于无穷大。我们通过证明解收敛于全平面上的纳维-斯托克斯方程的解，来证明刚体对极限方程没有影响。 显示英文摘要

摘要： In this article, we consider a small rigid body moving in a viscous fluid filling the whole plane. We assume that the diameter of the rigid body goes to 0, that the initial velocity has bounded energy and that the density of the rigid body goes to infinity. We prove that the rigid body has no influence on the limit equation by showing convergence of the solutions towards a solution of the Navier-Stokes equations in the full plane.