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The stationary Stefan problem with convection governed by a non-linear Darcy's law

✍ Scribed by M. Boukrouche; G. Łukaszewicz

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 172 KB
Volume: 22
Category: Article
ISSN: 0170-4214
DOI: 10.1002/(sici)1099-1476(19990510)22:7<563::aid-mma53>3.0.co;2-o

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✦ Synopsis

Communicated by A. Piskorek

We consider the bidimensional stationary Stefan problem with convection. The problem is governed by a coupled system involving a non-linear Darcy's law and the energy balance equation with second member in ¸. We prove existence of at least one weak solution of the problem, using the penalty method and the Schauder fixed point principle.