The University of Antelope Valley has invited Professor Yasuhide Fukumoto to give a presentation. He is a vice director of Mathematical Research Center for Industrial Technology and program subleader of the Education-and-Research Hub for Mathematics-for-Industry in Kyushu University - one of the major 7 national universities in Japan.
Professor Fukumoto is a famous professor in Fluid Dynamics area. Top universities around the world, including the University of Cambridge and the University of Chicago, invite Professor Fukumoto to lecture and give presentations on his areas of studies. In 1994, Professor Fukumoto became the first recipient of the Ryuumon Award, which is given to a young researcher from the Japan Society of Fluid Mechanics. Also, he has published his work in many prestigious journals around the world.
Dr. Yasuhide Fukumoto is scheduled to arrive to the University of Antelope Valley on May 21, 2012. He will give a presentation for his subject on the same day at 2:00 pm.
If you are interested in attending the presentation and meeting Dr. Fukumoto, please feel free to come to this event. You are more than welcome to attend this event to ask questions relating mathematics and physics.
If you have any questions, please contact Dr. Taxpulat Ruzi at (818)836-0840 or via taxpulat.ruzi@uav.edu
The Grand Ballroom is located at 44073 Sierra Highway, Lancaster, CA 93534
Abstract of this presentation:
Coherent vortices, being durable for some time, are often observed nature. The vorticity vector is defined by the curl of the velocity vector of a fluid. In the absence of viscosity, the vorticity is frozen into the fluid (the Helmholtz's law). Preservation of the link and the knot type of vortex lines, Kelvin's circulation theorem and invariance in time of the helicity (=the Hopf invariant) are all consequences of the Helmholtz's law. An exposition is given to the significance of these topological invariance, based on the Euler-Poincar`e framework.
A steady incompressible Euler flow is characterized as an extremal of the total kinetic energy with respect to perturbations constrained to an isovortical sheet. An isovortical perturbation preserves vortex-line topology and is expressible most efficiently by the Lagrangian variables. I will show how topological ideas work in the variational formulation for characterizing a steady solution of the Euler equations, and in analyses of its linear and nonlinear stability.
This presentation is open to the public.