Title:
Stability of Vortex Solitary Waves in Dispersive Models
Abstract:
Vortex type solitons exhibit remarkable and ubiquitous phenomena that arise in modeling
quantum optics, plasma, superfluids and relativistic boson stars.
I will discuss orbital stability and instability by providing certain sharp threshold conditions
for the governing equations including NLSE and Dirac equation with singular and unbounded potentials.
Numerical simulations for the associated vortex ground states are presented as well.
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