![[Search]](/static/images/search.gif){kind=small}
![[A-Z Index]](/static/images/az.gif){kind=small}
![[Contact]](/static/images/contact.gif){kind=small}
![[University of Cambridge]](/static/images/identifier2.gif){kind=small}
![[Talks.cam]](/static/images/talkslogosmall.gif)
Monday 06 November 2023, 14:00-15:00
Rigidity of long-term dynamics for the self-dual Chern-Simons-Schrödinger equation within equivariance
- 👤 Speaker: Kihyun Kim (IHES)
- 📅 Date & Time: Monday 06 November 2023, 14:00 - 15:00
- 📍 Venue: MR13
Abstract
We consider the long time dynamics for the self-dual Chern-Simons-Schrödinger equation (CSS) within equivariant symmetry. Being a gauged 2D cubic nonlinear Schrödinger equation (NLS), (CSS) is L2-critical and has pseudoconformal invariance and solitons. However, there are two distinguished features of (CSS), the self-duality and non-locality, which make the long time dynamics of (CSS) surprisingly rigid. For instance, (i) any finite energy spatially decaying solutions to (CSS) decompose into at most one (!) modulated soliton and a radiation. Moreover, (ii) in the high equivariance case (i.e., the equivariance index ≥ 1), any smooth finite-time blow-up solutions even have a universal blow-up speed, namely, the pseudoconformal one. We explore this rigid dynamics using modulation analysis, combined with the self-duality and non-locality of the problem.
Series This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.
Included in Lists
- All CMS events
- All Talks (aka the CURE list)
- bld31
- CMS Events
- DPMMS info aggregator
- DPMMS lists
- DPMMS Lists
- DPMMS Pure Maths Seminar
- Fav
- Geometric Analysis & Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- MR13
- My seminars
- School of Physical Sciences
Note: Ex-directory lists are not shown.