PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:h-Principle and fluid dynamics
Seminar:Department of Mathematics Colloquium
Speaker:Camillo de Lellis, University of Zurich
Abstract:
The Euler equations are perhaps the oldest system of partial differential equations derived in fluid dynamics. The h-principle is a concept introduced in the seventies by Gromov to unify several counterintuitive phenomena in differential geometry. Two famous instances of the h-principle are the Nash-Kuiper C1 isometric embeddings and the Smale's Eversion Theorem. In the nineties Scheffer and Shnirelman have produced complicated examples of solutions to the Euler equations which display a very surprising and patological behavior. In a recent joint work with Laszlo Szekelyhidi we have shown that these examples have a rather simple interpretation as a kind of h-principle. Our approach allows to go beyond the examples of Scheffer and Shnirelman and shows interesting connections to some aspects of the theory of fully developed turbulence.

Room Reservation Information

Room Number:MB114
Date:04 / 02 / 2009
Time:04:00pm - 05:00pm