4 papers · 1 filter
-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…
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…