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.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/408704 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849305490057592832 |
|---|---|
| author | Afaf Bouharguane |
| author_facet | Afaf Bouharguane |
| author_sort | Afaf Bouharguane |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0a6729981afd4b2ebe6a87d32b2e4d03 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0a6729981afd4b2ebe6a87d32b2e4d032025-08-20T03:55:27ZengWileyInternational 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 |
| spellingShingle | Afaf Bouharguane Global Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves International Journal of Differential Equations |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2011/408704 |
| work_keys_str_mv | AT afafbouharguane globalexistenceofsolutionstothefowlerequationinaneighbourhoodoftravellingwaves |