Interfaces and Free Boundaries
Full-Text PDF (248 KB) |
Table of Contents | IFB summary
Volume 8, Issue 4, 2006, pp. 447–479
DOI: 10.4171/IFB/151
A degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions
Fuensanta Andreu (1), N. Igbida (2), José M. Mazón (3) and J. Toledo (4)
(1) Dpto. de Análisis Matemático, Universitat de Valencia, C/ Dr. Moliner 50, 46100, BURJASSOT (VALENCIA), SPAIN(2) LAMFA, CNRS-UMR 6140, Université de Picardie Jules Verne, 33, Rue Saint-Leu, 80038, AMIENS CÉDEX 1, FRANCE
(3) Dpto. de Análisis Matemático, Universitat de Valencia, C/ Dr. Moliner 50, 46100, BURJASSOT (VALENCIA), SPAIN
(4) Dpto. de Análisis Matemático, Universitat de Valencia, C/ Dr. Moliner 50, 46100, BURJASSOT (VALENCIA), SPAIN
In this paper we prove existence and uniqueness of weak solutions for a general degenerate elliptic-parabolic problem with nonlinear dynamical boundary conditions. Particular instances of this problem appear in various phenomena with changes of phase like multiphase Stefan problem and in the weak formulation of the mathematical model of the so called Hele Shaw problem. Also, the problem with non-homogeneous Neumann boundary condition is included.
No keywords available for this article.