Year: 1999
Type: article
Abstract: The dynamics of a two-dimensional vortex are analyzed within the framework of the nonlinear Schr\"odinger equation. Both a bare vortex and a vortex with an external mass trapped in a finite-sized core are considered. The bare vortex motion is found to be damped at all frequencies, while the finite core has a single resonant frequency. The force exerted by the fluid on the finite core can be expressed as a sum of dissipative and Magnus forces for sufficiently low frequencies, even when the core is small.
Author: Michael J. Quist
Institution: Cornell University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2031597156