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math.AP2011
Global well-posedness and limit behavior for a higher-order Benjamin-Ono equation
Luc Molinet, Didier Pilod
In this paper, we prove that the Cauchy problem associated to the following higher-order Benjamin-Ono equation $$ \partial_tv-b\mathcal{H}\partial^2_xv- aε\partial_x^3v=cv\partial_…
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…