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

[Riccardo Molle]

SEMINARIO DI EQUAZIONI DIFFERENZIALI
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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http://www.mat.uniroma2.it/~ricerca/analis/Seminario%20di%20Equazioni%20Differenziali.html

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Via della Ricerca Scientifica 1
00133 Rome (Italy)

Phone: +39 06 72594668
Fax:   +39 06 72594699
Email:molle at mat.uniroma2.it


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