For more information about this meeting, contact Kris Jenssen, Hope Shaffer, Yuxi Zheng.
| Title: | Construction techniques for suitable weak solutions for the 3D incompressible Navier-Stokes equations |
| Seminar: | Computational and Applied Mathematics Colloquium |
| Speaker: | Jean-Luc Guermond, Texas A&M |
| Abstract: |
| In the talk, I recall basic facts about suitable weak solutions of the
3D incompressible Navier-Stokes equations and I review techniques for
constructing those solutions. The main trick essentially consists of
mollifying the nonlinearity and passing to the limit by removing the
mollification. The question discussed in the talk is how much
mollification is required, if any at all (how low can we go)? I'll
show that constructing finite-dimensional approximations using the
Galerkin technique does the job in some cases. This shows that, if the
discrete setting is well-chosen, the Galerkin discretization induces
enough mollification to pass to the limit without tweaking the
nonlinearity. |
Room Reservation Information
| Room Number: | MB106 |
| Date: | 10 / 24 / 2008 |
| Time: | 03:35pm - 04:25pm |