Global existence and collisions for certain configurations of nearly parallel vortex filaments
Add to your list(s)
Download to your calendar using vCal
If you have a question about this talk, please contact Jonathan Ben-Artzi.
A system of simplified equations has been derived by Klein, Majda and Damodaran to describe the dynamics of nearly parallel vortex filaments in incompressible 3D fluids. This system combines a 1D Schrödinger-type structure together with the 2D point vortex system. Global existence for small perturbations of exact parallel filaments has been established by Kenig, Ponce and Vega in the case of two filaments and for particular configurations of three filaments. In this talk I will present large time existence results for particular configurations of four filaments and for other particular configurations of N filaments for any N larger than 2. I will also provide some particular cases of collisions in finite time. This is joint work with Valeria Banica.
This talk is part of the Partial Differential Equations seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
|
![[Search]](http://talks.cam.ac.uk/images/search.gif?1209136071)
|![[A-Z Index]](http://talks.cam.ac.uk/images/az.gif?1209136071)
|![[Contact]](http://talks.cam.ac.uk/images/contact.gif?1209136071)
![[University of Cambridge]](http://talks.cam.ac.uk/images/identifier2.gif?1209136071){kind=small}
![[Talks.cam]](http://talks.cam.ac.uk/images/talkslogosmall.gif?1209136071)
Monday 07 November 2011, 16:00-17:00