Computation of equilibrium foam structures using the surface evolver.
Phelan, Robert, Weaire, Denis, Brakke, Kenneth (1995)
Experimental Mathematics
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Phelan, Robert, Weaire, Denis, Brakke, Kenneth (1995)
Experimental Mathematics
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Christina Papenfuss, Wolfgang Muschik (1996)
Extracta Mathematicae
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Marco Bonacini (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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In the context of a variational model for the epitaxial growth of strained elastic films, we study the effects of the presence of anisotropic surface energies in the determination of equilibrium configurations. We show that the threshold effect that describes the stability of flat morphologies in the isotropic case remains valid for weak anisotropies, but is no longer present in the case of highly anisotropic surface energies, where we show that the flat configuration is always a local...
Angelo Morro (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Two aspects of balance equations in electromagnetism are considered. First, concerning Faraday's law and Ampere's law it is emphasized that appropriate treatment of the time derivative of an integral over a time-dependent surface eliminates ambiguities occurring in various presentations of the subject. Second, standard forms of energy balance are shown not to be equivalent in the case of materials with memory.
Alexiades, Vasilios, Autrique, David (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Osmolovskiĭ, V.G. (2004)
Zapiski Nauchnykh Seminarov POMI
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Zdeněk Matyáš (1948)
Časopis pro pěstování matematiky a fysiky
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Mandal, B.N., Banerjea, S. (1992)
International Journal of Mathematics and Mathematical Sciences
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Mandal, B.N., Ghosh, N.K. (1990)
International Journal of Mathematics and Mathematical Sciences
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M.ª Isabel Asensio, Luis Ferragut, Jacques Simon (2002)
RACSAM
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We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.