Modelling and long-time behaviour for phase transitions with entropybalance and thermal memory conductivity

Elena Bonetti; Pierluigi Colli; Mauro Fabrizio; Gianni Gilardi

doi:10.3934/dcdsb.2006.6.1001

Article Contents

2006, Volume 6, Issue 5: 1001-1026. Doi: 10.3934/dcdsb.2006.6.1001

This issue Previous Article Lagrangian averaging for the 1D compressible Euler equations Next Article Entropy-energy inequalities and improved convergence rates for nonlinear parabolic equations

Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

1.
Dipartimento di Matematica "F. Casorati", Università di Pavia, Via Ferrata 1, 27100 Pavia
2.
Dipartimento di Matematica, Università di Bologna, Piazza di Porta San Donato 5, 40126 Bologna

Received: September 2005

Revised: November 2005

Published: September 2006

Abstract Related Papers Cited by

Abstract

This paper deals with a thermomechanical model describing phase transitions with thermal memory in terms of balance and equilibrium equations for entropy and microforces, respectively. After a presentation and discussion of the model, the large time behaviour of the solutions to the related integro-differential system of PDE's is investigated.

Keywords:

Phase transition model,
entropy,
thermal memory,
microforces,
non-linear initial-boundary value problem,
long-time behaviour of solutions.

Mathematics Subject Classification: Primary: 35K60, 35Q99, 80A22.

Citation:

Article Metrics

HTML views() PDF downloads(75) Cited by(0)

Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content