Displaying similar documents to “Nonlinear evolution inclusions arising from phase change models”

On a conserved Penrose-Fife type system

Gianni Gilardi, Andrea Marson (2005)

Applications of Mathematics

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We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to + are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.

Homogenization of some parabolic operators with several time scales

Liselott Flodén, Marianne Olsson (2007)

Applications of Mathematics

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The main focus in this paper is on homogenization of the parabolic problem t u ε - · ( a ( x / ε , t / ε , t / ε r ) u ε ) = f . Under certain assumptions on a , there exists a G -limit b , which we characterize by means of multiscale techniques for r > 0 , r 1 . Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made.