Speaker: Emeric Roulley，University of Milan

Inviter: 薛志龙

Title: Quasi-periodic traveling electron layers

Language: English

Time & Venue: 2026.11.04 15:00-16:00 Zoom Meeting ID: 380 750 5470 Passcode: 20261104

Abstract: We consider the one-dimensional space periodic Vlasov-Poisson equation. A particular class of solutions, called electron layers, arises when the electron density is given by the characteristic function of a strip in phase space. The evolution of such configurations is governed by a Hamiltonian system consisting of coupled transport equations. We construct, near stationary flat velocity layers, quasi-periodic traveling solutions. The proof requires a combination of KAM theory, Nash–Moser iteration, and pseudo-differential calculus. In order to exclude resonances and make the KAM scheme applicable, the strip width must be chosen from a suitable set of parameters of almost full measure. This is a joint work with Luca Franzoi.