6 citations · 6 across the 5 of their papers we have counts for
5 papers
-Unconditional well-posedness for low dispersion fractional KdV equations
Luc Molinet, Weipeng Zhu
We show that the -unconditional well-posedness, that is well-known for the KdV equation, is shared by KdV type equations with weaker dispersion. This is despite…
Improved refined bilinear estimates and well-posedness for generalized KdV type equations on
Luc Molinet, Tomoyuki Tanaka
We study the Cauchy problem for one-dimensional dispersive equations posed on , under the hypotheses that the dispersive operator behaves, for high frequencies, as a F…
Local well-posedness for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions
Luc Molinet, Tomoyuki Tanaka
We consider the derivative nonlinear Schrödinger equation on the real line, with a background function that satisfies suitable conditions. Such a…
Global solutions for the one-dimensional Boussinesq-Peregrine system under small bottom variation
Luc Molinet, Raafat Talhouk
The Boussinesq-Peregrine system is derived from the water waves system in presence of topographic variation under the hypothesis of shallowness and small amplitude regime. The syst…
Global attractor for weakly damped Nonlinear Schrödinger equations in
Olivier Goubet, Luc Molinet
We prove that the weakly damped nonlinear Schrödinger flow in provides a dynamical system which possesses a global attractor. The proof relies on the continuity o…