61 citations · 108 across the 22 of their papers we have counts for
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math.AP2017
On Whitham and related equations
C. Klein, F. Linares, D. Pilod +1
The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular we establish rigorous bounds bet…
math.AP2017★ 3 cited
The Cauchy problem for the fractional Kadomtsev-Petviashvili equations
Felipe Linares, Didier Pilod, Jean-Claude Saut
The aim of this paper is to prove various ill-posedness and well-posedness results on the Cauchy problem associated to a class of fractional Kadomtsev-Petviashvili (KP) equations i…
math.AP2017
On well-posedness for some dispersive perturbations of Burgers' equation
Luc Molinet, Didier Pilod, Stéphane Vento
We show that the Cauchy problem for a class of dispersive perturbations of Burgers' equations containing the low dispersion Benjamin-Ono equation \_t u -- D^\_x $\part…