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|
|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
|Date:||04 / 02 / 2009|
|Time:||04:00pm - 05:00pm|