Applied Analysis

Seminar information archive ~10/15Next seminarFuture seminars 10/16~

Date, time & place Thursday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.)
Organizer(s) ISHIGE Kazuhiro, MIYAMOTO Yasuhito, MITAKE Hiroyoshi, TAKADA Ryo

2006/12/21

16:00-17:30   Room #056 (Graduate School of Math. Sci. Bldg.)
Susan Friedlander (University of Illinois-Chicago)
An Inviscid Dyadic Model For Turbulence
[ Abstract ]
We discuss properties of a GOY type model for the inviscid fluid equations. We prove that the forced system has a unique equilibrium which a an exponential global attractor. Every solution blows up in H^5/6 in finite time . After this time, all solutions stay in H^s, s<5/6, and "turbulent" dissipation occurs. Onsager's conjecture is confirmed for the model system.

This is joint work with Alexey Cheskidov and Natasa Pavlovic.