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Abstract: We study the dynamics of the interface between two incompressible fluids in a two-dimensional porous medium whose flow is modeled by the Muskat equations. For the two-phase Muskat problem, we establish global well-posedness and decay to equilibrium for small H2 perturbations of the rest state. For the one-phase Muskat problem, we prove local well-posedness for H2 initial data of arbitrary size. Finally, we show that solutions to the Muskat equations instantaneously become infinitely smooth.
Fuente: Advances in Mathematics 2016, 286, 32-104
Editorial: Elsevier
Año de publicación: 2016
Nº de páginas: 73
Tipo de publicación: Artículo de Revista
DOI: 10.1016/j.aim.2015.08.026
ISSN: 0001-8708,1090-2082
Url de la publicación: https://doi.org/10.1016/j.aim.2015.08.026
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CHENG, ARTHUR C. H.
RAFAEL GRANERO BELINCHON
SHKOLLER, STEVE
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