When

Start: 04/09/2018 - 4:15pm

End : 04/09/2018 - 5:15pm

End : 04/09/2018 - 5:15pm

Category

Applied Math Seminar

Speaker

Ivan B Ventura (Cal Poly Pomona)

Abstract

We study the dynamics of solitary waves for a nonlinear Schr\"odinger equation, with an $L^2$-subcritical power nonlinearity. We show that with an initial condition $\eps \le \sqrt h$ away in $H^1$ from a soliton that, up to time $\sim |\log h|/h$, the solution evolves according to the equations from the effective Hamiltonian up to errors of size $\eps+h^2$. We achieve this result using the methods of Holmer-Zworski and the spectral results of Weinstein.

Where

Emmy Noether Rm
Millikan 1021
Pomona College

__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

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