An evolutionary continuous casting problem of Stefan type-Reference-Cited by-同舟云学术

An evolutionary continuous casting problem of Stefan type

Published:1986 Issue:1 Volume:44 Page:109-131
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Rodrigues José-Francisco

Abstract

A simplified model for the solidification of an ingot being cast continuously by withdrawing it from a mould at constant rate is studied via the variational inequalities approach. Existence, uniqueness and regularity results are given for this one-phase Stefan type problem, together with a detailed analysis for the free boundary (the solid-liquid interface) particularly with respect to the asymptotic behavior as time t ↑ ∞ t \uparrow \infty where the steady state is attained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1986-44-01/S0033-569X-1986-0840448-6/S0033-569X-1986-0840448-6.pdf

Reference25 articles.

1. The fluid flow through porous media. Regularity of the free surface;Alt, Hans Wilhelm;Manuscripta Math.,1977

2. A Wiley-Interscience Publication;Baiocchi, Claudio,1984

3. H. Brézis, Nouveaux théorèmes de régularité pour les problèmes unilatéraux, Rencontre entre Physicien Théoricien et Mathématicien, Strasbourg, Vol. 12 (1971)

4. Application des méthodes variationnelles à la cristallisation d’un métal par passage dans une gaine de refroidissement;Brière, Thierry;Ann. Fac. Sci. Toulouse Math. (5),1980

5. The regularity of free boundaries in higher dimensions;Caffarelli, Luis A.;Acta Math.,1977

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Elliptic and Parabolic Variational Inequalities;The Classical Stefan Problem;2018

2. Bibliography;The Classical Stefan Problem;2018

3. Bibliography;North-Holland Series in Applied Mathematics and Mechanics;2003

4. Some free boundary problems in theorical glaciology;The Mathematics of Models for Climatology and Environment;1997

5. Regularity of the free boundary of a continuous casting problem;Nonlinear Analysis: Theory, Methods & Applications;1993-09