论文标题
关于在Navier-Stokes液体中落下球体稳定分叉的问题
On the Problem of Steady Bifurcation of a Falling Sphere in a Navier-Stokes Liquid
论文作者
论文摘要
我们研究了由球体在重力作用下自由落入Navier-Stokes液体中的球体组成的耦合系统体液的稳定分叉。特别是，我们表明，在假设中，对于分叉溶液，球体的平移速度与重力平行，如果1是合适的线性算子的简单特征值，则进行分叉，并且横向属性具有。
We study steady bifurcation for the coupled system body-liquid consisting of a sphere freely falling in a Navier-Stokes liquid under the action of gravity. In particular we show that, under the assumption that for the bifurcating solution the translational velocity of the sphere is parallel to the gravity, bifurcation takes place provided 1 is a simple eigenvalue of a suitable linear operator and the transversality property holds.
