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Center for Scientific Computation and Mathematical Modeling

Research Activities > Programs > Incompressible Flows 2006> Peter Constantin


Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number


CSIC Building (#406), Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions


Generalized Relative Entropies and Stochastic Representation

 

Peter Constantin

                              Department of Mathematics, University of Chicago


Abstract:   I will discuss generalized relative entropies in the context of the Navier-Stokes equation. These are new tools to investigate the relative growth of solutions, including exploding ones. I will show a proof based on a stochastic description that allows for a simple (conceptually, but, alas, not technically) interpretation of their existence.
[LECTURE SLIDES]