Universal Upper Bound on The Blowup Rate of Nonlinear Schr\"odinger Equation with Rotation

Christopher Leonard; Shijun Zheng; Yi Hu

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Universal Upper Bound on The Blowup Rate of Nonlinear Schr\"odinger Equation with Rotation

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arxiv 2107.02218 v1 pith:V2CXH5WC submitted 2021-07-05 math.AP

Yi Hu , Christopher Leonard , Shijun Zheng This is my paper

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keywords blowupboundequationnonlinearodingerrateschruniversal

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In this paper, we prove a universal upper bound on the blowup rate of a focusing nonlinear Schr\"odinger equation with an angular momentum under a trapping harmonic potential, assuming that the initial data is radially symmetric in the weighted Sobolev space. The nonlinearity is in the mass supercritical and energy subcritical regime. Numerical simulations are also presented.

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