Tuesday, May 25

Nonlinear Advection Diffusion Equations: Analysis and Applications

10:00 AM-12:00 PM
Room: Ballroom III

The fundamental equations of fluid dynamics present some profound challenges. Extracting rigorous predictions with physical relevance from the equations of motion is a difficult task, but substantial progress has been achieved in recent years. The speakers in this minisymposium will focus on recent mathematical results for the incompressible Navier-Stokes and related equations and their relation to experiments and applications.

Organizers: Charles R. Doering
University of Michigan, Ann Arbor
Peter Constantin
University of Chicago, Illinois

10:00-10:25 Energy Dissipation Rate in Shear Driven Turbulence
Xiaoming Wang, Iowa State University
10:30-10:55 Dynamics and Blow Up for An Active Scalar
Michael P. Brenner, Massachusetts Institute of Technology; Peter Constantin, Organizer; Leo P. Kadanoff, Alain Schenkel, and Shankar C. Venkataramani, University of Chicago, Illinois
11:00-11:25 Scaling and Burning Velocity in Turbulent Combustion
Peter Constantin, Organizer; Alexander Kiselev, and Leonid Ryzhik, University of Chicago, Illinois
11:30-11:55 Towards a Variational Principle for the Navier-Stokes Equations
Richard R. Kerswell, Bristol University, United Kingdom

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MMD, 2/9/99
LMH, 1/11/99; tjf, 2/2/99