Vortex Motion in Two Dimensional Hydrodynamics
Vortex Motion in Two Dimensional Hydrodynamics
复制标题
二维流体动力学中的涡运动
DOI：
10.1007/978-3-0348-8687-1_15
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
M. Flucher
中科院分区：
文献类型：
--
作者：
M. Flucher
Robin函数在平面流体力学中有重要的应用。考虑不可压缩和非粘性流体。我们将看到，点涡与容器壁的相互作用由罗宾函数控制，而涡对的相互作用由绿色函数控制。作为前几章中所导出的Robin函数性质的应用，我们证明了涡旋对的长时间存在性。这个结果是最佳的，因为三个涡流可以在有限的时间内碰撞。我们报告我们与B的工作。Gustafsson [52].
The Robin function has an important application in planar fluid dynamics. Consider an incompressible and non-viscous fluid. We will see that the interaction of point vortices with the walls of the container is governed by the Robin function, while the interaction of vortex pairs is governed by the Green’s function. As an application of the properties of the Robin function derived in the previous chapters we prove long time existence of vortex pairs. This result is optimal, since three vortices can collide in finite time. We report from our work with B. Gustafsson [52].