1 citations · 1 across the 4 of their papers we have counts for
4 papers
Stability of multi antipeakon-peakons profile
Khaled El Dika, Luc Molinet
The Camassa-Holm equation possesses well-known peaked solitary waves that can travel to both directions. The positive ones travel to the right and are called peakon whereas the neg…
On ill-posedness for the one-dimensional periodic cubic Schrodinger equation
Luc Molinet
We prove the ill-posedness in $ H^s(\T) $, , of the periodic cubic Schrödinger equation in the sense that the flow-map is not continuous from $H^s(\T) $ into itself for any fi…
Newtonian limit for weakly viscoelastic fluid flows of Olroyds' type
Luc Molinet, Raafat Talhouk
This paper is concerned with regular flows of incompressible weakly viscoelastic fluids which obey a differential constitutive law of Oldroyd type. We study the newtonian limit for…
Global well-posedness in the Energy space for the Benjamin-Ono equation on the circle
Luc Molinet
We prove that the Benjamin-Ono equation is well-posed in $ H^{1/2}(\T) $. This leads to a global well-posedness result in $ H^{1/2}(\T) $ thanks to the energy conservation.