✦ LIBER ✦

Mathematical Analysis of a Stefan Problem with Dirichlet–Signorini Boundary Conditions Appearing in Polythermic Ice Sheet Modeling

✍ Scribed by N. Calvo; J. Durany; C. Vázquez

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 161 KB
Volume: 262
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7560

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✦ Synopsis

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 discretization, an enthalpy regularization procedure, and a Galerkin-type method. The main goal has been to adapt the previous techniques to the specific boundary conditions of the problem.