Four approaches to hydrodynamic Green's functions -- the Oseen tensors
Fluid Dynamics
2013-12-24 v1 Mathematical Physics
math.MP
Abstract
We present four different ways of deriving the Oseen tensor which is the fundamental solution to the Stokes equations for an incompressible viscous fluid. This solution corresponds to a point force acting on an infinite fluid. The derivations follow the books of Kim & Karilla, Zapryanov & Tabakova, Dhont, and Pozrikidis.
Keywords
Cite
@article{arxiv.1312.6231,
title = {Four approaches to hydrodynamic Green's functions -- the Oseen tensors},
author = {Maciej Lisicki},
journal= {arXiv preprint arXiv:1312.6231},
year = {2013}
}
Comments
5 pages, 1 figure, a report summarising different routes leading to the fundamental solution of Stokes equations