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Abstract: In this paper, we consider a confined physical scenario to prove the global existence of smooth solutions with bounded density and finite energy for the inviscid incompressible porous media (IPM) equation. The result is proved using the stability of stratified solutions, combined with an additional structure of our initial perturbation, which allows us to get rid of the boundary terms in the energy estimates.
Fuente: Archive for Rational Mechanics and Analysis, 2019, 232(1), 437-471
Editorial: Springer
Fecha de publicación: 01/04/2019
Nº de páginas: 35
Tipo de publicación: Artículo de Revista
DOI: 10.1007/s00205-018-1324-3
ISSN: 1432-0673,0003-9527
Url de la publicación: https://doi.org/10.1007/s00205-018-1324-3
Leer publicación
CASTRO, ÁNGEL
CÓRDOBA, DIEGO
DANIEL LEAR CLAVERAS
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