Front propagation problems with sub-diffusion

Yana Nec; Vladimir A. Volpert; Alexander A. Nepomnyashchy

doi:10.3934/dcds.2010.27.827

Front propagation problems with sub-diffusion

Yana Nec^*, Vladimir A. Volpert, Alexander A. Nepomnyashchy

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English (US)
Pages (from-to)	827-846
Number of pages	20
Journal	Discrete and Continuous Dynamical Systems
Volume	27
Issue number	2
DOIs	https://doi.org/10.3934/dcds.2010.27.827
State	Published - Jun 2010

Keywords

Domain wall
Front
Sub-diffusion

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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title = "Front propagation problems with sub-diffusion",

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 = "Domain wall, Front, Sub-diffusion",

author = "Yana Nec and Volpert, {Vladimir A.} and Nepomnyashchy, {Alexander A.}",

year = "2010",

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doi = "10.3934/dcds.2010.27.827",

language = "English (US)",

volume = "27",

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journal = "Discrete and Continuous Dynamical Systems",

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TY - JOUR

T1 - Front propagation problems with sub-diffusion

AU - Nec, Yana

AU - Volpert, Vladimir A.

AU - Nepomnyashchy, Alexander A.

PY - 2010/6

Y1 - 2010/6

N2 - 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.

AB - 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.

KW - Domain wall

KW - Front

KW - Sub-diffusion

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M3 - Article

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 2

ER -

Front propagation problems with sub-diffusion

Abstract

Keywords

ASJC Scopus subject areas

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