Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Moving fronts in integro-parabolic reaction-advection-diffusion equations

Moving fronts in integro-parabolic reaction-advection-diffusion equations We consider initial-boundary value problems for a class of singularly perturbed nonlinear integro-differential equations. In applications, they are referred to as nonlocal reactionadvection-diffusion equations, and their solutions have moving interior transition layers (fronts). We construct the asymptotics of such solutions with respect to a small parameter and estimate the accuracy of the asymptotics. To justify the asymptotics, we use the asymptotic differential inequality method. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Moving fronts in integro-parabolic reaction-advection-diffusion equations

Loading next page...
 
/lp/springer-journals/moving-fronts-in-integro-parabolic-reaction-advection-diffusion-20HjEmW77X

References (15)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Ordinary Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266111090096
Publisher site
See Article on Publisher Site

Abstract

We consider initial-boundary value problems for a class of singularly perturbed nonlinear integro-differential equations. In applications, they are referred to as nonlocal reactionadvection-diffusion equations, and their solutions have moving interior transition layers (fronts). We construct the asymptotics of such solutions with respect to a small parameter and estimate the accuracy of the asymptotics. To justify the asymptotics, we use the asymptotic differential inequality method.

Journal

Differential EquationsSpringer Journals

Published: Nov 19, 2011

There are no references for this article.