Viscoelastic Navier-Stokes equations with damping

PDE Seminar
Tuesday, February 14, 2012 - 15:05
1 hour (actually 50 minutes)
Skiles 005
Courant Institute of Mathematical Sciences, New York University
We prove an analog of the Caffarelli-Kohn-Nirenberg theorem for weak solutions of a system of PDE that model a viscoelastic fluid in the presence of an energy damping mechanism. The system was recently introduced in a method of establishing the global in time existence of weak solutions of the well known Oldroyd model, which remains an open problem.