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Analytical behavior of two-dimensional incompressible flow in porous media

 

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Opened Access Analytical behavior of two-dimensional incompressible flow in porous media
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Author: Córdoba Gazolaz, Diego
Gancedo García, Francisco
Orive Illera, Rafael
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2007-06
Published in: Journal of Mathematical Physics, 48 (6)
Document type: Article
Abstract: In this paper we study the analytic structure of a two-dimensional mass balance equation of an incompressible fluid in a porous medium given by Darcy’s law. We obtain local existence and uniqueness by the particle-trajectory method and we present different global existence criterions. These analytical results with numerical simulations are used to indicate nonformation of singularities. Moreover, blow-up results are shown in a class of solutions with infinite energy.
Cite: Córdoba Gazolaz, D., Gancedo García, F. y Orive Illera, R. (2007). Analytical behavior of two-dimensional incompressible flow in porous media. Journal of Mathematical Physics, 48 (6)
Size: 1.534Mb
Format: PDF

URI: http://hdl.handle.net/11441/45315

DOI: 10.1063/1.2404593

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