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math.AP2011★ 2 cited
Well-posednesss of strongly dispersive two-dimensional surface waves Boussinesq systems
Felipe Linares, Didier Pilod, Jean-Claude Saut
We consider in this paper the well-posedness for the Cauchy problem associated to two-dimensional dispersive systems of Boussinesq type which model weakly nonlinear long wave surfa…
math.AP2007
On the Cauchy problem for higher-order nonlinear dispersive equations
Didier Pilod
We study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also…
math.AP2007★ 2 cited
Global Well-Posedness and Non-linear Stability of Periodic Traveling Waves for a Schrodinger-Benjamin-Ono System
Jaime Angulo, Carlos Matheus, Didier Pilod
The objective of this paper is two-fold: firstly, we develop a local and global (in time) well-posedness theory for a system describing the motion of two fluids with different dens…