On an infinite hierarchy of particle-like solutions to a regularized Euler’s equation
Event details
| Date | 15.04.2014 |
| Hour | 16:15 › 17:15 |
| Speaker | David Meier (Brunel, London) |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
Geometry and Dynamics Seminar
Abstract: Particle-like solutions to partial differential equations are valuable for their numerical tractability. In a recent paper by Jacobs, Ratiu & Desbrun, it was shown by a symmetry reduction argument that there exists an infinite hierarchy of particle-like solutions to a regularized form of Euler’s equation. In this talk I will present an easy explicit construction of the hierarchy. I will also show simulations that illustrate how particles behave in collision events; namely, two colliding particles asymptotically merge into a single particle at a higher level in the hierarchy. This is joint work with Colin Cotter, Darryl Holm and Henry Jacobs.
Abstract: Particle-like solutions to partial differential equations are valuable for their numerical tractability. In a recent paper by Jacobs, Ratiu & Desbrun, it was shown by a symmetry reduction argument that there exists an infinite hierarchy of particle-like solutions to a regularized form of Euler’s equation. In this talk I will present an easy explicit construction of the hierarchy. I will also show simulations that illustrate how particles behave in collision events; namely, two colliding particles asymptotically merge into a single particle at a higher level in the hierarchy. This is joint work with Colin Cotter, Darryl Holm and Henry Jacobs.
Practical information
- Expert
- Free
Organizer
- Sonja Hohloch, Martins Bruveris, Marc Troyanov