Annali di Matematica Pura ed Applicata

, Volume 88, Issue 1, pp 177–191

# A two phase Stefan problem with temperature boundary conditions

• John R. Cannon
• Mario Primicerio
Article

## Abstract

We studied a two phase Stefan problem in a infinite plane slab, when the temperatures are prescribed on the two limiting planes.

We proved global existence and uniqueness of the solution under minimal smoothness assumptions upon the initial and boundary data. Furthermore, we demonstrated the continuous and monotone dependence of the solution on the initial and boundary data.

## Keywords

Boundary Condition Global Existence Boundary Data Temperature Boundary Stefan Problem
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

## Riassunto

Si studia un problema di Stefan a due fasi in uno strato piano indefinito, quando sia assegnata la temperatura sui piani che delimitano lo strato stesso.

Viene dimostrata l’esistenza (in grande) e l’unicità della soluzione sotto ipotesi assai generali sui dati iniziali ed al contorno. Sî prova la dipendenza continua e monotona della soluzione dai dati iniziali ed al contorno.

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