Open AccessGlobal Existence of Solutions to the Fowler Equation in a Neighbourhood of Travelling-Waves
Author(s) -
Afaf Bouharguane
Publication year - 2011
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2011/408704
Subject(s) - neighbourhood (mathematics) , mathematics , traveling wave , diffusion equation , mathematical analysis , flow (mathematics) , statistical physics , geometry , physics , economy , economics , service (business)
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
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