[CvGmt News] Seminario S. Mosconi (11/12/2018)

Riccardo Molle molle at axp.mat.uniroma2.it
Mon Dec 3 12:25:49 CET 2018

Dipartimento di Matematica
Universita' degli Studi di Roma "Tor Vergata"

Martedi' 11 dicembre 2018, ore 14:30 Aula Dal Passo

Sunra Mosconi (Universita' di Catania)
Titolo: The Shrodinger-Poisson system with sign changing potential

Abstract: The Shrodinger-Poisson system describes the motion of an electrically
charged Bose-Einstein condensate subjected to potential field. We will consider
the problem of existence of standing waves of arbitrary high energy. By solving
the Poisson equation, this results in studying a stationary non-linear Shrodinger
equation with a nonlocal sign-changing potential. Standard variational method
apply when considering suitable nonlinearities, but fail for the simple yet
paramount case of the Gross-Pitaevski equation. We will describe the physical
model, discuss the variational formulation and related literature and propose a
solution in the Gross-Pitaevski setting.
This is a joint work with S. Liu, University of Xiamen



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Email:molle at mat.uniroma2.it

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