Periodic Vortex Streets and Complex Monodromy
Adrian D. Hemery, Alexander P. Veselov
TL;DR
This paper constructs explicit examples of periodic vortex patterns using monodromy-free Schrödinger operators, providing insights into vortex street dynamics and their mathematical properties.
Contribution
It introduces a novel method for constructing vortex equilibria through monodromy-free Schrödinger operators, linking complex analysis with fluid dynamics.
Findings
Explicit vortex street solutions are constructed.
Qualitative analysis of vortex street behavior is provided.
New connections between monodromy theory and vortex dynamics are established.
Abstract
The explicit constructions of periodic and doubly periodic vortex relative equilibria using the theory of monodromy-free Schr\"odinger operators are described. Several concrete examples with the qualitative analysis of the corresponding travelling vortex streets are given.
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