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Blowup in the nonlinear Schrodinger equation

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AR2W02 - Mathematics of beyond all-orders phenomena

We systematically derive a normal form for the emergence of radially symmetric blowup solutions from stationary ones in the nonlinear Schrodinger equation. The derivation uses the methodology of asymptotics beyond all orders, and the resulting normal form applies when either the power law or dimension is used as the bifurcation parameter. It yields excellent agreement with numerics in both leading and higher-order effects, is applicable to both infinite and finite domains, and is valid in both critical and supercritical regimes.

This talk is part of the Isaac Newton Institute Seminar Series series.

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