Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 22, 2021 - 12:00 to 12:50

Location:

ZOOM

Event Link:

Guest Speaker:

Institution:

College of Charleston

Abstract:

The Vortex Filament Equation (VFE) (also known as Localized Induction Approximation) is the simplest model of self-induced dynamics of a vortex filament in an ideal fluid, and an important example of integrable geometric flow. Its connection with the cubic focusing Nonlinear SchrÃ¶dinger Equation through the Hasimoto transformation allows the use of tools from soliton theory to construct large classes of solutions. This talk will discuss the construction and the linear stability properties of a family a knotted vortex filaments, including torus and cable knots, whose knot type does not change under the VFE evolution. This is joint work with Tom Ivey and Stephane Lafortune.