Geodesic
Stefan problem in a 2D case
Piotr Bogus/law Mucha1
1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland
Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 149-165

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The aim of this paper is to analyze the well posedness of the one-phase quasi-stationary Stefan problem with the Gibbs–Thomson correction in a two-dimensional domain which is a perturbation of the half plane. We show the existence of a unique regular solution for an arbitrary time interval, under suitable smallness assumptions on initial data. The existence is shown in the Besov–Slobodetski{ĭ} class with sharp regularity in the $L_2$-framework.
DOI : 10.4064/cm105-1-14
Mots-clés : paper analyze posedness one phase quasi stationary stefan problem gibbs thomson correction two dimensional domain which perturbation half plane existence unique regular solution arbitrary time interval under suitable smallness assumptions initial existence shown besov slobodetski class sharp regularity framework

Piotr Bogus/law Mucha 1

1 Institute of Applied Mathematics and Mechanics Warsaw University Banacha 2 02-097 Warszawa, Poland 
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Piotr Bogus/law Mucha. Stefan problem in a 2D case. Colloquium Mathematicum, Tome 105 (2006) no. 1, pp. 149-165. doi: 10.4064/cm105-1-14

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