Fidest – Agenzia giornalistica/press agency

Quotidiano di informazione – Anno 33 n° 335

Posts Tagged ‘equation’

Seminario di Analisi di Stefano Pasquali

Posted by fidest press agency su martedì, 5 dicembre 2017

Roma Mercoledì 6 Dicembre 2017, ore 16:00 Dipartimento di Matematica e Fisica – Aula 311 Largo San Leonardo Murialdo 1 Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit Stefano Pasquali (Universita’ degli Studi Roma Tre) We study the the nonlinear Klein-Gordon (NLKG) equation on a manifold $M$ in the nonrelativistic limit (as the speed of light $c \to \infty$). We consider a higher-order normalized approximation of NLKG (corresponding to the NLS at order $r=1$), and prove that when $M$ is a smooth compact manifold or $\R^d$, the solution of the approximating equation approximates the solution of the NLKG locally uniformly in time. When $M=\R^d$, $d \geq 2$, we prove that for $r \geq 2$ small radiation solutions of the order $r$ normalized equation approximate solutions of the nonlinear NLKG up to times of order $\cO(c^{2(r-1)})$.

Posted in Roma/about Rome, Università/University | Contrassegnato da tag: , , | Leave a Comment »