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Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems by Colli, Pierluigi; Fukao, Takeshi is a scholarly article available to read on EtoBox.

What is Nonlinear diffusion equations as asymptotic limits of Cahn-Hilliard systems about?

An asymptotic limit of a class of Cahn-Hilliard systems is investigated to obtain a general nonlinear diffusion equation. The target diffusion equation may reproduce a number of well-known model equations: Stefan problem, porous media equation, Hele-Shaw profile, nonlinear diffusion of singular logarithmic type, nonlinear diffusion of Penrose-Fife type, fast diffusion equation and so on. Namely, by setting the suitable potential of the Cahn-Hilliard systems, all of these problems can be obtained as limits of the Cahn-Hilliard related problems. Convergence results and error estimates are proved.

Author

Colli, Pierluigi; Fukao, Takeshi

Published

2015

Language

EN