Effective dynamics of the nonlinear Schr\"odinger equation on large domains

12 Oct 2016 Buckmaster Tristan Germain Pierre Hani Zaher Shatah Jalal

We consider the nonlinear Schr\"odinger (NLS) equation posed on the box $[0,L]^d$ with periodic boundary conditions. The aim is to describe the long-time dynamics by deriving effective equations for it when $L$ is large and the characteristic size $\epsilon$ of the data is small... (read more)

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