Regularity for solutions of the two-phase Stefan problem

2005/06/01 by M. K. Korten, Korten, M. K., C. N. Moore +1
Mathematics · #35K35 #35K55 #35K65 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35K35 #msc:35K55 #msc:35K65

paper · pdf · doi:10.48550/arxiv.math/0506022

11 pages

arxiv created 2005/06/01 · arxiv updated 2009/12/01

Abstract

We consider local solutions of the two-phase Stefan problem with a "mushy" region. We show that if a (distributional) solution u is locally square integrable then the temperature is continuous.

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