In this paper we discuss a family of viscous Cahn{Hilliard equations with a non-smooth viscosity term. This system may be viewed as an approximation of a "forward-backward" parabolic equation. The resulting problem is highly nonlinear, coupling in the same equation two nonlinearities with the diffusion term. In particular, we prove existence of solutions for the related initial and boundary value problem. Under suitable assumptions, we also state uniqueness and continuous dependence on data.
A doubly nonlinear cahn-hilliard system with nonlinear viscosity / E. Bonetti, P. Colli, L. Scarpa, G. Tomassetti. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 17:3(2018), pp. 1001-1022.
Titolo: | A doubly nonlinear cahn-hilliard system with nonlinear viscosity |
Autori: | |
Parole Chiave: | Cahn-hilliard equations; Continuous dependence; Diffusion of species; Existence of solutions; Initial-boundary value problem; Non-smooth regularization; Nonlinearities; Viscosity |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Data di pubblicazione: | 2018 |
Rivista: | |
Tipologia: | Article (author) |
Digital Object Identifier (DOI): | http://dx.doi.org/10.3934/cpaa.2018049 |
Appare nelle tipologie: | 01 - Articolo su periodico |
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