Wednesday, October 9, 2024 - 16:15 in V4-116 + Zoom
Existence of statistical stationary solutions to the Schrödinger Map Equation in 1D
A talk in the Oberseminar Analysis series by
Emanuela Gussetti from University of Bielefeld
| Abstract: |
In this talk, we discuss the existence of statistically stationary solutions to the Schrödinger map equation on a one-dimensional domain, with null Neumann boundary conditions, or on the one-dimensional torus.
To approximate the Schrödinger map equation, we employ the stochastic Landau-Lifschitz-Gilbert equation.
By a limiting procedure à la Kuksin, we establish existence of a random initial datum, whose distribution is preserved under the dynamic of the deterministic equation. We explore the relationship between the Schrödinger map equation, the binormal curvature flow and the cubic non-linear Schrödinger equation. Additionally, we prove existence of statistically stationary solutions to the binormal curvature flow.
This is a joint work with Professor M. Hofmanová.
Zoom Meeting ID: [686 0112 3008]
Passcode: [867330]
$\href{https://uni-bielefeld.zoom-x.de/j/68601123008?pwd=3B0C4nRNJveeJ71WQ1caCai3MbXTwA.1}{\textbf{Join Zoom Meeting}}$
Within the CRC this talk is associated to the project(s): A1, B7 |
Back
