Analysis and Applied Mathematics Seminar: Nonlinear bound states with prescribed angular momentum, by Xiaoan Shen
March 27, 2023
4:00 PM - 4:50 PM
Xiaoan Shen (UIC): Nonlinear bound states with prescribed angular momentum
We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrodinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint.
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Date posted
Apr 1, 2023
Date updated
Apr 1, 2023
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