PDE Seminar On a linearized operator of the equation for Burgers vortices

2007-05-14 16:30 - 2007-05-14 17:30
Faculty of Science Building #8 Room 309
MAEKAWA Yasunori (Hokkaido Univ.)
Burgers vortices have been used as a model which expresses concentratedvorticity fields in turbulence. Several numerical results indicate thatas the vortex Reynolds number is increasing, the associated Burgersvortex becomes more circular and has simpler structures. The purpose ofthis paper is to give a mathematical explanation for these numericalobservations by studying a linearized operator of the equation forBurgers vortices. We obtain some estimates and spectrum behavior of thelinearized operator at large Reynolds numbers which are compatible withthe numerical observations.