KIT - Department of Mathematics - Domain walls in harmonic potentials

$Webrelaunch 2020$

Department of Mathematics

Home Page

The department
Institutes
Research
Studying Mathematics at Karlsruhe
Staff

Research

Research Focuses
Collaborative Research Centre
Research Training Group 2229
Research Training Group 1294
Doctorates / Habilitations

Research Focuses

Partial Differential Equations
Geometry, Groups and Topology
Stochastic Models

Partial Differential Equations

PDE Seminar: Talk by Dmitry Pelinovsky

PDE Seminar: Talk by Dmitry Pelinovsky

Domain walls in harmonic potentials

Speaker: Prof. Dr. Dmitry Pelinovsky
Place: Hybrid SR 1.067/Zoom
Time: 20.1.2022, 14:00
Invited by: The lecturers of the research focus Partial Differential Equations

Abstract

We study the existence and variational characterization of domain walls in a coupled system of Gross–Pitaevskii equations modeling two-component Bose-Einstein condensates with the magnetic field trapping. Domain walls arise as minimizers in a subspace of the energy space with a certain symmetry. We study bifurcation of the domain walls and furthermore give numerical illustrations of our results.