Enthalpy model for heating, melting, and vaporization in laser ablation.
Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
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Daniela Mansutti, Edoardo Bucchignani (2011)
Applications of Mathematics
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We analyse the effect of the mechanical response of the solid phase during liquid/solid phase change by numerical simulation of a benchmark test based on the well-known and debated experiment of melting of a pure gallium slab counducted by Gau & Viskanta in 1986. The adopted mathematical model includes the description of the melt flow and of the solid phase deformations. Surprisingly the conclusion reached is that, even in this case of pure material, the contribution of the solid...
Nigro, Norberto, Storti, Mario (2001)
International Journal of Mathematics and Mathematical Sciences
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Beneš, M. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Osmolovskiĭ, V.G. (2004)
Journal of Mathematical Sciences (New York)
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Fife, Paul C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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([unknown])
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
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Andrews, K.T., Guessous, L., Nassar, S., Putta, S.V., Shillor, M. (2006)
Journal of Applied Mathematics
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Alexiades, Vasilios, Hannoun, Noureddine, Mai, Tsun Zee (2003)
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...