On the effect of boundaries in two-phase porous flow

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URI: https://hdl.handle.net/10902/29549
ISSN: 0951-7715
ISSN: 1361-6544
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Autoría
Granero Belinchón, RafaelAutoridad Unican; Navarro, Gustavo; Ortega, Alejandro
Fecha
2015-02
Derechos
© IOP Publishing Ltd & London Mathematical Society. This is an author-created, un-copyedited version of an article published in Nonlinearity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.1088/0951-7715/28/2/435
Publicado en
Nonlinearity, 2015, 28, 435-461
Editorial
Institute of Physics
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Palabras clave
Muskat problem
Porous medium
One-dimensional model
Resumen/Abstract
In this paper we study a model of an interface between two fluids in a porous medium. For this model we prove several local and global well-posedness results and study some of its qualitative properties. We also provide numerics.
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