1887

Abstract

Three boundary value problems for Laplace's equation related to 2D Darcy flow through a gap in barrier are considered. Solutions to two of the problems are obtained, and an exact formula for the effective permeability represented by a gap in an infinitely thin barrier is found. Deriving the effective penneability represented by a gap in a barrier with positive thickness is more difficult, and the problem is here reduced to the task of determining the period matrix of a hyperelliptic Riemann surface of genus three from the knowledge of the periods of a certain analytic differential on the surface.

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/content/papers/10.3997/2214-4609.201406658
1998-09-08
2021-06-22
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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201406658
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