Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

Ken Shirakawa

doi:10.3934/proc.2007.2007.927

Article Contents

2007, Volume 2007: 927-937. Doi: 10.3934/proc.2007.2007.927 open access

This issue Previous Article On the unusual Fucik spectrum Next Article Waiting time of propagation and the backward motion of interfaces in thin-film flow theory

Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

Ken Shirakawa^1,

1.
Department of Applied Mathematics, Faculty of Engineering, Kobe University, 1-1 Rokkodai, Nada, Kobe, 657-8501

Received: August 31, 2006

Revised: January 31, 2007

Published: August 2007

Abstract Related Papers Cited by

Abstract

In this paper, we deal with systems of nonlinear evolution equations, which are mathematical models of phase transitions, classified as "Penrose-Fife type". In the presented models, $p$-Laplacians, with 1 $<= p$ < 2, are adopted to describe the diffusions in exchanges. As the main conclusions, some theorems, concerned with the existence and the uniqueness of solutions of our systems, will be proved, under appropriate assumptions.

Keywords:

Mathematics Subject Classification: Primary: 35K55; Secondary: 82B26.

Citation:

Article Metrics

HTML views() PDF downloads(33) Cited by(0)

Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Solvability for phase field systems of Penrose-Fife type associated with $p$-laplacian diffusions

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content