For more information about this meeting, contact Mark Levi.
| Title: | Fluids and the skew mean curvature flow. |
|---|
| Seminar: | Applied Analysis Seminar |
|---|
| Speaker: | Boris Khesin, University of Toronto |
|---|
| Abstract Link: | http:// |
|---|
| Abstract: |
|---|
| We show that an approximation of the incompressible Euler equation describes the skew-mean-curvature flow
on vortex membranes in any dimension. This generalizes the classical binormal, or vortex filament, equation in 3D.
We present a Hamiltonian framework for higher-dimensional vortex filaments and vortex sheets as singular 2-forms with
support of codimensions 2 and 1, respectively. This framework, in particular, allows one to define
the symplectic structures on the spaces of vortex sheets.
Preprint: arXiv:1201.5914 |
Room Reservation Information
| Room Number: | MB216 |
|---|
| Date: | 10 / 08 / 2012 |
|---|
| Time: | 02:30pm - 03:30pm |
|---|
