Nonlinear Instability for the Navier Stokes Equations

Seminar: 
Analysis
Event time: 
Monday, December 5, 2005 - 9:45am to 10:45am
Location: 
215 LOM
Speaker: 
Susan Friedlander
Speaker affiliation: 
University of Illinois at Chicago
Event description: 

It is proved that linear instability implies nonlinear instability
for the Navier Stokes equations in $L^p$, $p > 1$. The result holds in all
spatial dimensions and both finite domains and $R^n$. The method of
proof uses a bootstrap argument.
This is joint work with Roman Shvydkoy and Natasa Pavlovic.