Mathematical analysis of a stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling

Authors
Calvo, N Durany, J Vazquez, C
Citation
N. Calvo et al., Mathematical analysis of a stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling, J MATH ANAL, 262(2), 2001, pp. 577-600
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
262
Issue
2
Year of publication
2001
Pages
577 - 600
Database
ISI
SICI code
0022-247X(20011015)262:2<577:MAOASP>2.0.ZU;2-P
Abstract
In this paper, a Stefan problem from theoretical glaciology with Dirichlet- Signorini boundary conditions is analyzed. The existence of a weak solution for the nonlinear evolutive model is shown by using an implicit time discr etization, an enthalpy regularization procedure, and a Galerkin-type method . The main goal has been to adapt the previous techniques to the specific b oundary conditions of the problem. (C) 2001 Academic Press.