Pulsating Fronts in a 2D Reactive Boussinesq System

Christopher Henderson

doi:10.1080/03605302.2013.850726

Pulsating Fronts in a 2D Reactive Boussinesq System

Christopher Henderson

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

5 Scopus citations

Abstract

We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

Original language	English (US)
Pages (from-to)	1555-1595
Number of pages	41
Journal	Communications in Partial Differential Equations
Volume	39
Issue number	8
DOIs	https://doi.org/10.1080/03605302.2013.850726
State	Published - Aug 2014
Externally published	Yes

Keywords

Front propagation
Pulsating fronts
Reaction-advection-diffusion equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605302.2013.850726

Cite this

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abstract = "We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.",

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AB - We consider a reactive Boussinesq system with no stress boundary conditions in a periodic domain which is unbounded in one direction. Specifically, we couple the reaction-advection-diffusion equation for the temperature, T, and the linearized Navier-Stokes equation with the Boussinesq approximation for the fluid flow, u. We show that this system admits smooth pulsating front solutions that propagate with a positive speed.

KW - Front propagation

KW - Pulsating fronts

KW - Reaction-advection-diffusion equations

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UR - https://www.scopus.com/pages/publications/84903388790#tab=citedBy

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DO - 10.1080/03605302.2013.850726

M3 - Article

AN - SCOPUS:84903388790

SN - 0360-5302

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 8

ER -

Pulsating Fronts in a 2D Reactive Boussinesq System

Abstract

Keywords

ASJC Scopus subject areas

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