1 / 19

Noncommutative vortices and beach waves

Frontiers in Nonlinear Waves in honor of Vladimir Zakharov's 70th birthday. Noncommutative vortices and beach waves. G. Cruz L.R. Juárez A. A. Minzoni M. Rosenbaum. IIMAS-FENOMEC, UNAM. Pelinovsky, Kevrekidis, Frantzeskikis 2005. Circular vortex. Peierls-Nabarro potential. Static vortex.

walter-hebert
Download Presentation

Noncommutative vortices and beach waves

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Frontiers in Nonlinear Wavesin honor of Vladimir Zakharov's 70th birthday Noncommutative vortices and beach waves G. Cruz L.R. Juárez A. A. Minzoni M. Rosenbaum IIMAS-FENOMEC, UNAM

  2. Pelinovsky, Kevrekidis, Frantzeskikis 2005

  3. Circular vortex

  4. Peierls-Nabarro potential

  5. Static vortex

  6. Peierls-Nabarro potential

  7. Noncommutative NLS equation

  8. Strominger 2000.

  9. Lindstrom-Rocek 2003

  10. Modulation equations The last expression is the equation of motion for the peak of the vortex, analogous to a particle in a Peierls-Nabarro potential.

  11. Large vortex with low energy The vortex moves in the lattice generated by the *-product. The fixed points are the equilibrium positions

More Related