Artículo
A survey for the Muskat problem and a new estimate
Autor/es | Gancedo García, Francisco |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2017-03 |
Fecha de depósito | 2016-11-28 |
Publicado en |
|
Resumen | This paper shows a summary of mathematical results about the Muskat
problem. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for
all ... This paper shows a summary of mathematical results about the Muskat problem. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for all time. These questions are important in mathematical physics but also have a strong mathematical interest. Stressing some recent results of the author, we also give a new estimate for the problem in the last section. Initial data with L2 decay and slope less than one provide weak solutions which satisfy a parabolic inequality as in the linear regime. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Junta de Andalucía |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2014-59488-P
RyC-2010-07094 P12-FQM-2466 |
Cita | Gancedo García, F. (2016). A survey for the Muskat problem and a new estimate. SeMA Journal: Boletin de la Sociedad Española de Matemática Aplicada, 1-16. |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
A survey for the Muskat problem ... | 423.6Kb | [PDF] | Ver/ | |