The Caginalp phase-field system  with coupled dynamic boundary conditions  and singular potentials

Maurizio Grasselli; Alain Miranville; Giulio Schimperna

doi:10.3934/dcds.2010.28.67

Article Contents

2010, Volume 28, Issue 1: 67-98. Doi: 10.3934/dcds.2010.28.67

This issue Previous Article A convexified energy functional for the Fermi-Amaldi correction Next Article Rotating Boussinesq equations: Dynamic stability and transitions

The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

1.
Dipartimento di Matematica, Politecnico di Milano, Via E. Bonardi, 9, I-20133 Milano
2.
Laboratoire de Mathématiques et Applications, UMR CNRS 6086, Université de Poitiers - SP2MI, Boulevard Marie et Pierre Curie, F-86962 Chasseneuil Futuroscope Cedex
3.
Università degli Studi di Pavia, Dipartimento di Matematica "F. Casorati", Via Ferrata 1, 27100 Pavia

Received: August 2009

Revised: January 2010

Published: March 2010

Abstract Related Papers Cited by

Abstract

We study in this paper the well-posedness and the asymptotic behavior, in terms of global attractors, of the Caginalp system with coupled dynamic boundary conditions and possibly singular potentials (e.g., of logarithmic type).

Keywords:

Mathematics Subject Classification: Primary: 35B41, 35K60; Secondary: 80A22.

Citation:

Article Metrics

HTML views() PDF downloads(64) Cited by(0)

The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

The Caginalp phase-field system with coupled dynamic boundary conditions and singular potentials

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content