A Stefan Problem with Curvature Correction in a Concentrated Capacity

A Stefan Problem with Curvature Correction in a Concentrated Capacity

Year:    1996

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 2 : pp. 111–128

Abstract

We consider a Stefan problem with the curvature correction in a concentrated capacity. It is a kind of phase transition problems, in which the unknown temperature satisfies both the Stefan condition and the curvature correction on the free boundary, and also fulfills a kind of heat equations with special inner heat source. The inner beat source is related to the derivative of the temperature with respect to the direction vertical to the phase regions. The result established in this paper is the existence of a global weak solution of this problem.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1996-JPDE-5614

Journal of Partial Differential Equations, Vol. 9 (1996), Iss. 2 : pp. 111–128

Published online:    1996-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    18

Keywords:    Stefan problem