On a non-isothermal Cahn-Hilliard model based on a microforce balance

Autor:	Marveggio, Alice, Schimperna, Giulio
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs 35K41 35K55 80A22 74A15
Druh dokumentu:	Working Paper
Popis:	This paper is concerned with a non-isothermal Cahn-Hilliard model based on a microforce balance. The model was derived by A. Miranville and G. Schimperna starting from the two fundamental laws of Thermodynamics, following M. Gurtin's two-scale approach. The main working assumptions are made on the behaviour of the heat flux as the absolute temperature tends to zero and to infinity. A suitable Ginzburg-Landau free energy is considered. Global-in-time existence for the initial-boundary value problem associated to the entropy formulation and, in a subcase, also to the weak formulation of the model is proved by deriving suitable a priori estimates and showing weak sequential stability of families of approximating solutions. At last, some highlights are given regarding a possible approximation scheme compatible with the a-priori estimates available for the system. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2004.02618 Zobrazit plný text záznamu View this record from Arxiv