Quarterly of Applied Mathematics

Existence and uniqueness result for the problem of viscous flow in a granular material with a void

Author(s): Mirela Kohr; G. P. Raja Sekhar
Journal: Quart. Appl. Math. 65 (2007), 683-704.
MSC (2000): Primary 76D; Secondary 76M
Posted: August 28, 2007
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Abstract: The purpose of this paper is to obtain an indirect boundary integral formulation for the three-dimensional viscous flow problem in a granular material with a void. The corresponding existence and uniqueness result of the classical solution to this problem is proved by using the theory of hydrodynamic potentials.

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Mirela Kohr
Affiliation: Faculty of Mathematics and Computer Science, Babes-Bolyai University, 1 M. Kogalniceanu Str., 400084 Cluj-Napoca, Romania
Email: mkohr@math.ubbcluj.ro

G. P. Raja Sekhar
Affiliation: Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721 302, India
Email: rajas@maths.iitkgp.ernet.in

PII: S0033-569X-07-01071-1
Keywords: Stokes equation, Brinkman equation, boundary value problems, fundamental solution, potential theory, boundary integral representations, existence and uniqueness result
Received by editor(s): April 17, 2006
Posted: August 28, 2007
Copyright of article: Copyright 2007, Brown University

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