标题： 向心流在小球形粒子周围的远场渐近行为 显示英文标题

标题： Far Field Asymptotics of Nematic Flows Around a Small Spherical Particle

摘要： 给定一个小的球形颗粒，我们考虑相应外域中的一般液晶流动。 我们的重点是当控制方程可以简化为线性偏微分方程组时，在参数区域中的精确远场渐近行为。 我们能够解析地刻画流动的速度，并将其与斯托克斯流的经典表达式进行比较。 远离颗粒的速度表达式可以通过数值方法或符号计算来计算。 显示英文摘要

摘要： Given a small spherical particle, we consider flow of a nematic liquid crystal in the corresponding exterior domain. Our focus is on precise far field asymptotic behavior of the flow in a parameter regime when the governing equations can be reduced to a system of linear partial differential equations. We are able to analytically characterize the velocity of the flow and compare it to the classical expression for the Stokes flow. The expression for velocity away from the particle can be computed either numerically or symbolically.