On the viscous Allen-Cahn and Cahn-Hilliard systems with Willmore regularization.

Autor:	Makki, Ahmad
Jazyk:	angličtina
Předmět:	články journal articles viskózní Cahn-Hilliardova rovnice viskózní Allen-Cahnova rovnice Willmorova regularizace globální atraktor robustní exponenciální atraktory anizotropie simulace viscous Cahn-Hilliard equation viscous Allen-Cahn equation Willmore regularization well-posedness of models global attractor robust exponential attractors anisotropy simulations
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We consider the viscous Allen-Cahn and Cahn-Hilliard models with an additional term called the nonlinear Willmore regularization. First, we are interested in the well-posedness of these two models. Furthermore, we prove that both models possess a global attractor. In addition, as far as the viscous Allen-Cahn equation is concerned, we construct a robust family of exponential attractors, i.e. attractors which are continuous with respect to the perturbation parameter. Finally, we give some numerical simulations which show the effects of the viscosity term on the anisotropic and isotropic Cahn-Hilliard equation.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Plný text Full text from SpringerLink