Front propagation problems with sub-diffusion

Yana Nec; Vladimir A Volpert; Alexander A Nepomnyashchy

doi:10.3934/dcds.2010.27.827

Article Contents

2010, Volume 27, Issue 2: 827-846. Doi: 10.3934/dcds.2010.27.827

This issue Previous Article Weak Carleman estimates with two large parameters for second order operators and applications to elasticity with residual stress Next Article Eventual regularization of the slightly supercritical fractional Burgers equation

Front propagation problems with sub-diffusion

1.
Department of Mathematics, Technion - Israel Institute of Technology, Haifa 32000
2.
Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, IL 60208-3125
3.
Department of Mathematics and Minerva Center for Nonlinear Physics of Complex Systems, Technion - Israel Institute of Technology, Haifa 32000

Received: September 30, 2009

Revised: January 31, 2010

Published: June 2010

Abstract Related Papers Cited by

Abstract

Front propagation is considered for two kinds of sub-diffusion - reaction systems: (i) systems with sub-diffusion limited reaction rate governed by models with fractional time derivatives; (ii) systems with activation limited reaction rate governed by integro-differential equations with two time variables. It is shown that in the former case the front is described by a travelling wave solution, while in the latter the velocity of the front decreases with time.

Keywords:

front,
sub-diffusion,
domain wall.

Mathematics Subject Classification: Primary: 35K57; Secondary: 47G20.

Citation:

Article Metrics

HTML views() PDF downloads(114) Cited by(0)

Front propagation problems with sub-diffusion

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Front propagation problems with sub-diffusion

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content