Models for phase separation and their mathematics.
Fife, Paul C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Fife, Paul C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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A. Visintin (1998)
Bollettino dell'Unione Matematica Italiana
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Le transizioni di fase si presentano in svariati processi fisici: un esempio tipico è la transizione solido-liquido. Il classico modello matematico, noto come , tiene conto solo dello scambio del calore latente e della diffusione termica nelle fasi. Si tratta di un problema di frontiera libera, poiché l'evoluzione dell'interfaccia solido liquido è una delle incognite. In questo articolo si rivedono le formulazioni forte e debole di tale problema, e quindi si considerano alcune generalizzazioni...
Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Alexiades, Vasilios (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Bates, Peter W., Chen, Xinfu, Deng, Xinyu (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Winter, Matthias (1996)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Russell, David L., White, Luther W. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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van Duijn, C.J., Fehribach, J.D. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ko, Youngsang (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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James M. Greenberg (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this paper we focus on melting and solidification processes described by phase-field models and obtain rigorous estimates for such processes. These estimates are derived in Section 2 and guarantee the convergence of solutions to non-constant equilibrium patterns. The most basic results conclude with the inequality (E2.31). The estimates in the remainder of Section 2 illustrate what obtains if the initial data is progressively more regular and may be omitted on first reading. We also...