Event Detail

Event Type: 
Applied Mathematics and Computation Seminar
Friday, October 22, 2021 - 12:00 to 12:50

Speaker Info

College of Charleston

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 Schrödinger 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.