For more information about this meeting, contact Sergei Tabachnikov.
| Title: | h-Principle and fluid dynamics |
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| Seminar: | Department of Mathematics Colloquium |
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| Speaker: | Camillo de Lellis, University of Zurich |
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| Abstract: |
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| 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 |
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| Date: | 04 / 02 / 2009 |
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| Time: | 04:00pm - 05:00pm |
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