A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE-Reference-Cited by-同舟云学术

A PHASE FIELD MODEL WITH THERMAL MEMORY GOVERNED BY THE ENTROPY BALANCE

Published:2003-11 Issue:11 Volume:13 Page:1565-1588
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BONETTI ELENA¹,COLLI PIERLUIGI¹,FREMOND MICHEL²

Affiliation:

1. Dipartimento di Matematica "F. Casorati", Università di Pavia, Italy

2. Laboratoire Lagrange, LCPC – Paris, France

Abstract

We introduce a thermomechanical model describing dissipative phase transitions with thermal memory in terms of the entropy balance and the principle of virtual power written for microscopic movements. The thermodynamical consistence of this model is verified and existence of solutions is proved for a related initial and boundary value problem.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202503003033

Reference27 articles.

1. Nonlinear semigroups and differential equations in Banach spaces

2. Global solution to a Frémond model for shape memory alloys with thermal memory

3. A phase transition model with the entropy balance

4. Equipresence and constitutive equations for rigid heat conductors

Cited by 29 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Variational Approximation for a Non-Isothermal Coupled Phase-Field System: Structure-Preservation & Nonlinear Stability;Computational Methods in Applied Mathematics;2024-09-03

2. Weak solutions and weak-strong uniqueness for a thermodynamically consistent phase-field model;Rendiconti Lincei - Matematica e Applicazioni;2022-07-27

3. Global existence for a phase separation system deduced from the entropy balance;Nonlinear Analysis;2020-01

4. Global existence for a singular phase field system related to a sliding mode control problem;Nonlinear Analysis: Real World Applications;2018-06

5. Well-posedness and longtime behavior for a singular phase field system with perturbed phase dynamics;Evolution Equations & Control Theory;2018