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Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: Numerical evidence

Monotonicity properties of the blow-up time for nonlinear Schrödinger equations: Numerical evidence

We consider focusing nonlinear Schrödinger equations (NLS), in the $L^2$-critical and supercritical cases. We present a systematic numerical investigation of the dependence of the blow-up time on properties of the data or on the (parameters of the) equation in three cases: dependence on the strength of the nonlinearity in the …