133 citations · 608 across the 48 of their papers we have counts for
4 papers · 2 filters
Navier and Stokes meet Poincar\' e and Dulac
Ciprian Foias, Luan Hoang, Jean-Claude Saut
This paper surveys various precise (long-time) asymptotic results for the solutions of the Navier-Stokes equations with potential forces in bounded domains. It turns out that that…
Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion
Jean-Claude Saut, Jun-ichi Segata
We consider the asymptotic behavior in time of solutions to the nonlinear Schr"odinger equation with fourth order anisotropic dispersion (4NLS) which describes the propagation of u…
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…
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…