- Series
- Job Candidate Talk
- Time
- Tuesday, January 14, 2014 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Jacob Bedrossian – Courant Institute, NYU – jacob@cims.nyu.edu – http://www.cims.nyu.edu/~jacob/
- Organizer
- Ronghua Pan
We prove asymptotic stability of shear flows close to the
planar, periodic Couette flow in the 2D incompressible Euler
equations.That is, given an initial perturbation of the Couette flow small in a
suitable regularity class, specifically Gevrey space of class smaller
than 2, the velocity converges strongly in L2 to a shear flow which is also
close to the Couette flow. The vorticity is asymptotically mixed to
small scales by an almost linear evolution and in general enstrophy is lost
in the weak limit. Joint work with Nader Masmoudi. The strong convergence
of the velocity field is sometimes referred to as inviscid damping, due
to the relationship with Landau damping in the Vlasov equations. Recent
work with Nader Masmoudi and Clement Mouhot on Landau damping may also be
discussed.