Navier-Stokes液体中下落球体的定常分岔问题
On the Problem of Steady Bifurcation of a Falling Sphere in a Navier-Stokes Liquid
摘要：
研究了重力作用下球体自由下落到Navier-Stokes液体中的耦合系统的定常分岔。特别是，我们表明，在假设的分叉解决方案的平移速度的球是平行的重力，分叉发生提供1是一个简单的特征值的一个合适的线性算子和横截性财产持有。
英文摘要：
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.
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