Displaying similar documents to “Adesione di membrane fluide”

Le equazioni di evoluzione dei continui ferromagnetici

P. Podio-Guidugli (2001)

Bollettino dell'Unione Matematica Italiana

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This expository paper is meant to be a faithful account the invited lecture I gave in Naples on September 14, 1999, during the 16th Congress of U.M.I., the Italian Mathematical Union. In Section 2, I consider the Gilbert equation, the parabolic equation that rules the evolution of the magnetization vector in a rigid ferromagnet. Among the issues I here discuss are the relations of the Gilbert equation to the harmonic map equation and its heat flow, the existence of global-in-time weak...

Formazione di singolarità nel moto per curvatura media

Carlo Sinestrari (2001)

Bollettino dell'Unione Matematica Italiana

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We study the formation of singularities for hypersurfaces evolving by mean curvature. After recalling the basic properties of the flow and the classical results about curves and convex surfaces, we give account of some recent developments of the theory for the case of surfaces with positive mean curvature. We show that for such surfaces we can obtain a–priori estimates on the principal curvatures which enable us to classify the singular profiles by the use of rescaling techniques. ...