Article
Analytical behavior of two-dimensional incompressible flow in porous media
Author/s | Córdoba Gazolaz, Diego
Gancedo García, Francisco Orive Illera, Rafael |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2007-06 |
Deposit Date | 2016-09-23 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Educación y Ciencia (MEC). España Comunidad Autónoma de Madrid |
Project ID. | MTM2005-05980
S-0505/ESP/0158 MTM2005-00714 |
Citation | 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) |
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