Louise Gassot

collaborators

2 papers

math.AP2026

Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution

Louise Gassot, Patrick GÃ©rard, Patrick Gérard

We construct a class of infinite-order multisoliton solutions of the Benjamin-Ono equation on the line, for which the initial data exhibits slow spatial decay. We prove that in the…

math.AP2025

Global well-posedness for the ILW equation in $H^{s} (T)$ for $s > - \frac{1}{2}$

Louise Gassot, Thierry Laurens

We prove that the intermediate long wave (ILW) equation is globally well-posed in the Sobolev spaces $H^{s} (T)$ for $s > - \frac{1}{2}$ . The previous record for well-posedness wa…

Infinite-order multisoliton solutions to the Benjamin--Ono equation and soliton resolution

Global well-posedness for the ILW equation in Hs(T) for s>−21​

Global well-posedness for the ILW equation in $H^{s} (T)$ for $s > - \frac{1}{2}$