Mathematical and computational aspects of solidification of pure substances.
Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Claudio Verdi (1998)
Bollettino dell'Unione Matematica Italiana
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Nel presente articolo si illustrano alcuni dei principali metodi numerici per l'approssimazione di modelli matematici legati ai fenomeni di transizione di fase. Per semplificare e contenere l'esposizione ci siamo limitati a discutere con un certo dettaglio i metodi più recenti, presentandoli nel caso di problemi modello, quali il classico problema di Stefan e l'evoluzione di superficie per curvatura media, solo accennando alle applicazioni e modelli più generali.
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Bruno Sportisse, Jaouad Boutahar, Edouard Debry, Denis Quélo, Karine Sartelet (2002)
RACSAM
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In this article we discuss some issues related to Air Pollution modelling (as viewed by the authors): subgrid parametrization, multiphase modelling, reduction of high dimensional models and data assimilation. Numerical applications are given with POLAIR, a 3D numerical platform devoted to modelling of atmospheric trace species.
Pavel Krejčí, Jürgen Sprekels (1998)
Applications of Mathematics
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Phase-field systems as mathematical models for phase transitions have drawn a considerable attention in recent years. However, while they are suitable for capturing many of the experimentally observed phenomena, they are only of restricted value in modelling hysteresis effects occurring during phase transition processes. To overcome this shortcoming of existing phase-field theories, the authors have recently proposed a new approach to phase-field models which is based on the mathematical...