6 citations · 6 across the 3 of their papers we have counts for
3 papers
On the singular nature of shallow-water convergence of the intermediate long wave equation on the real line
Andreia Chapouto, Benjamin Harrop-Griffiths, Guopeng Li +1
We investigate regularity properties of the solution map for the intermediate long wave equation (ILW) on the real line. More precisely, we study the scaled ILW which was shown to…
Bounded solutions of KdV: uniqueness and the loss of almost periodicity
Andreia Chapouto, Rowan Killip, Monica Vişan
We address two pressing questions in the theory of the Korteweg--de Vries (KdV) equation. First, we show the uniqueness of solutions to KdV that are merely bounded, without any fur…
Existence of positive solutions for an approximation of stationary mean-field games
Nojood Almayouf, Elena Bachini, Andreia Chapouto +22
Here, we consider a regularized mean-field game model that features a low-order regularization. We prove the existence of solutions with positive density. To do so, we combine a pr…