On a Steady-State Two-Phase Stefan Problem with Extraction

1990 ◽  
pp. 229-240
Author(s):  
José Francisco Rodrigues
Keyword(s):  
Steady State ◽  
Stefan Problem ◽  
Two Phase

scholarly journals On classical solutions of the two-phase steady-state Stefan problem in strips

1992 ◽  
Vol 19 (3) ◽  
pp. 207-218 ◽  
Author(s):  
José-Francisco Rodrigues ◽  
Boris Zaltzman
Keyword(s):  
Steady State ◽  
Stefan Problem ◽  
Classical Solutions ◽  
Two Phase

On a two-phase continuous casting Stefan problem with nonlinear flux

1990 ◽  
Vol 1 (3) ◽  
pp. 259-278 ◽  
Author(s):  
José Francisco Rodrigues ◽  
Fahuai Yi
Keyword(s):  
Weak Solution ◽  
Steady State ◽  
Continuous Casting ◽  
Asymptotic Behaviour ◽  
Stefan Problem ◽  
Cooling Condition ◽  
Sufficient Condition ◽  
Two Phase ◽  
Comparison Results ◽  
Steady State Solutions

We prove the existence of a weak solution for a two-phase continuous casting Stefan problem with a general monotone nonlinear cooling condition. We establish a sufficient condition for stability, which yields uniqueness and comparison results for the evolutionary and the steady- state solutions. We also discuss the asymptotic behaviour as t←∞ of the corresponding temperatures and enthalpies.

The two-phase Stefan problem for parabolic equations

2019 ◽  
Vol 2019 (4) ◽  
pp. 54-64
Author(s):  
A.N. Elmurodov
Keyword(s):  
Stefan Problem ◽  
Parabolic Equations ◽  
Two Phase

scholarly journals On the Two-phase Fractional Stefan Problem

2020 ◽  
Vol 20 (2) ◽  
pp. 437-458 ◽  
Author(s):  
Félix del Teso ◽  
Jørgen Endal ◽  
Juan Luis Vázquez
Keyword(s):  
Free Boundary ◽  
Stefan Problem ◽  
Free Boundary Problems ◽  
Classical Problem ◽  
Nonlocal Diffusion ◽  
Two Phase ◽  
Boundary Problems ◽  
Numerical Studies ◽  
The One ◽  
Evolution Type

AbstractThe classical Stefan problem is one of the most studied free boundary problems of evolution type. Recently, there has been interest in treating the corresponding free boundary problem with nonlocal diffusion. We start the paper by reviewing the main properties of the classical problem that are of interest to us. Then we introduce the fractional Stefan problem and develop the basic theory. After that we center our attention on selfsimilar solutions, their properties and consequences. We first discuss the results of the one-phase fractional Stefan problem, which have recently been studied by the authors. Finally, we address the theory of the two-phase fractional Stefan problem, which contains the main original contributions of this paper. Rigorous numerical studies support our results and claims.

Regularization of a two-dimensional two-phase inverse Stefan problem

1997 ◽  
Vol 13 (3) ◽  
pp. 607-619 ◽  
Author(s):  
D D Ang ◽  
A Pham Ngoc Dinh ◽  
D N Thanh
Keyword(s):  
Stefan Problem ◽  
Two Dimensional ◽  
Two Phase
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