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Green's function of the Brinkman equation in a 2D anisotropic case

IMA Journal of Applied Mathematics , Volume 73 (2) – Apr 1, 2008

Details

Publisher
Oxford University Press
Copyright
Copyright © Oxford University Press
ISSN
0272-4960
eISSN
1464-3634
D.O.I.
10.1093/imamat/hxm023
Publisher site
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Green's function of the Brinkman equation in a 2D anisotropic case

Abstract

The purpose of this paper is to obtain the Green's function of the Brinkman equation in a 2D case of hydrodynamic anisotropy with respect to the permeability. The anisotropic nature of the permeability is assumed to be not space or time dependent. We use the method of Fourier transform which reduces the computation of the Green's function to the computation of the fundamental solution of a fourth-order partial differential equation. This research work has several applications in engineering and medicine to the motion of bodies in anisotropic porous media.
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