Pullback attractor for a nonautonomous parabolic Cahn-Hilliard phase-field system-Reference-Cited by-同舟云学术

Pullback attractor for a nonautonomous parabolic Cahn-Hilliard phase-field system

Published:2023 Issue:9 Volume:8 Page:22037-22066
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Mangoubi Jean De Dieu,Goyaud Mayeul Evrard Isseret,Moukoko Daniel

Abstract

<abstract><p>Our aim in this paper is to study generalizations of the Caginalp phase-field system based on a thermomechanical theory involving two temperatures and a nonlinear coupling. In particular, we prove well-posedness results. More precisely, the existence of a pullback attractor for a nonautonomous parabolic of type Cahn-Hilliard phase-field system. The pullback attractor is a compact set, invariant with respect to the cocycle and which attracts the solutions in the neighborhood of minus infinity, consequently the attractor pullback (or attractor retrograde) exhibits a infinite fractal dimension.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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