Global-in-time existence of perturbations around 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. 
Afaf Bouharguane (I3M)
math.AP