Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law-Reference-Cited by-同舟云学术

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Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law

Published:2021-03-31 Issue: Volume: Page:1-30
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Ntsokongo Armel Judice¹,Tathy Christian²

Affiliation:

1. Faculté des Sciences et Techniques, Université Marien Ngouabi, B.P. 69 Brazzaville, Congo. E-mail: armel.ntsokongo@umng.cg

2. Laboratoire de Mécanique, Énergétique et Ingénierie, École, Nationale Supérieure Polytechnique, Université Marien Ngouabi, B.P. 69 Brazzaville, Congo. E-mail: tathychristian@yahoo.fr

Abstract

The aim of this paper is to study higher-order Caginalp phase-field systems based on the Maxwell–Cattaneo law, instead of the classical Fourier law. More precisely, one obtains well-posedness results, as well as the existence of finite-dimensional attractors.

Publisher

IOS Press

Subject

General Mathematics

Reference24 articles.

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2. Estimates near the boundary for solutions of elliptic partial differential equations. I;Agmon;Commun. Pure Appl. Math.,1959

3. Finite dimensional exponential attractors for the phase-field model;Brochet;Appl. Anal.,1993

4. An analysis of a phase-field model of a free boundary;Caginalp;Arch. Rational Mech. Anal.,1986

5. Conserved-phase field system: Implications for kinetic undercooling;Caginalp;Phys. Rev. B.,1988

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