Title    name Hot Topics International Workshop on The Mathematics of Materials Science : Liquid Crystals and Related Topics     Title Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field   Speaker Han, Jongmin   Date 2012-12-22   Host   Place NIMS   File     Abstract : We show the existence of standing wave solutions to the Schrodinger equation coupled with a neutral scalar fi eld. We also verify the Chern-Simons limit for these solutions. More precisely we prove that solutions to the main equations converge to the unique positive radially symmetric solution of the nonlinear Schroodinger equation as the coupling constant q goes to infinity.

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