On an asymptotic model for free boundary darcy flow in porous media

Ver/Abrir
Identificadores
URI: http://hdl.handle.net/10902/20662
ISSN: 0036-1410
ISSN: 1095-7154
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
Granero Belinchón, RafaelAutoridad Unican; Scrobogna, Stefano
Fecha
2020
Derechos
© Society for Industrial and Applied Mathematics (SIAM)
Publicado en
SIAM Journal on Mathematical Analysis 2020, Vol. 52, No. 5, pp. 4937-4970
Editorial
Society for Industrial and Applied Mathematics
Palabras clave
Muskat problem
Moving interfaces
Free boundary problems
Resumen/Abstract
We provide a rigorous mathematical study of an asymptotic model describing Darcy flow with free boundary in a small amplitude/large wavelength approximation. In particular, we prove several well-posedness results in critical spaces. Furthermore, we also study how the solution decays towards the flat equilibrium.
Colecciones a las que pertenece