PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Stephanie Zerby, Mark Levi, Jinchao Xu, Ludmil Zikatanov.

Title:On the regularity of the 3D Navier-Stokes equations in the largest critical space
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Alexey Cheskidov, University of Illinois at Chicago
Abstract:
In this talk I will discuss various well-posedeness and ill-posedness results for the 3D Navier-Stokes equations in the largest critical space. In particular, I will describe a recent norm inflation result for a hyperdissipative Navier-Stokes equations that occurs in critical and supercritical spaces even in the case where the global regularity is known. We will see how a new scaling arises that prevents us from proving a small initial data result in the largest critical space.

Room Reservation Information

Room Number:MB106
Date:04 / 05 / 2013
Time:03:35pm - 04:25pm