Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves

Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves

We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.

Bibliographic Details
Main Author: Afaf Bouharguane
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2011/408704
id doaj-0a6729981afd4b2ebe6a87d32b2e4d03
record_format Article
spelling doaj-0a6729981afd4b2ebe6a87d32b2e4d032020-11-24T22:44:34ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/408704408704Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-WavesAfaf Bouharguane0Institut de Mathématiques et Modélisation de Montpellier, UMR 5149 CNRS, Université Montpellier 2, Place Eugène Bataillon, CC 051, 34095 Montpellier, FranceWe investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.http://dx.doi.org/10.1155/2011/408704
collection DOAJ
language English
format Article
sources DOAJ
author Afaf Bouharguane
spellingShingle Afaf Bouharguane
Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
International Journal of Differential Equations
author_facet Afaf Bouharguane
author_sort Afaf Bouharguane
title Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
title_short Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
title_full Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
title_fullStr Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
title_full_unstemmed Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
title_sort global existence of solutions to the fowler equation in a neighbourhood of travelling-waves
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2011-01-01
description We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove the global-in-time well-posedness in the neighbourhood of travelling-waves solutions of the Fowler equation.
url http://dx.doi.org/10.1155/2011/408704
work_keys_str_mv AT afafbouharguane globalexistenceofsolutionstothefowlerequationinaneighbourhoodoftravellingwaves
_version_ 1725690986234904576

Similar Items