American Institute of Mathematical Sciences

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2007, 2007(Special): 741-750. doi: 10.3934/proc.2007.2007.741

Limit of kinetic term for a Stefan problem

Piotr B. Mucha 1,

1. 

Warsaw University, Inst. of Applied Math. and Mech., ul. Banacha 2, 02-097 Warszawa, Poland

Received  September 2006 Revised  April 2007 Published  September 2007

We investigate solutions to the one-phase quasi-stationary Stefan problem with the surface tension and kinetic term. Main results show existence of unique regular solutions with a suitable bound which enables to obtain the limit as the kinetic term is vanishing. Our problem is considered in anisotropic Besov spaces locally in time.
Keywords: nonlocal parabolic systems, curvature, optimal regularity., Besov spaces, Stefan problems, vanishing kinetic effects.
Mathematics Subject Classification: Primary: 35R35, 35K5.
Citation: Piotr B. Mucha. Limit of kinetic term for a Stefan problem. Conference Publications, 2007, 2007 (Special) : 741-750. doi: 10.3934/proc.2007.2007.741
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