7 citations · 11 across the 5 of their papers we have counts for
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math.AP2010★ 2 cited
Vortex Collapse for the L2-Critical Nonlinear Schrödinger Equation
Gideon Simpson, Ian Zwiers
The focusing cubic nonlinear Schrödinger equation in two dimensions admits vortex solitons, standing wave solutions with spatial structure, Qm(r,theta) = e^{i m theta} Rm(r). In th…
math.AP2010★ 7 cited
Standing Ring Blowup Solutions for Cubic NLS
Ian Zwiers
We prove there exist solutions to the focusing cubic nonlinear Schrödinger equation in three dimensions that blowup on a circle, in the sense of L^2 concentration on a ring, bounde…