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Fluid Dynamical Limits for the Boltzmann Equation
Optimization| Speaker: | C. David Levermore, University of Maryland, College Park |
| Location: | 693 Kerr |
| Start time: | Thu, Jan 23 2003, 4:10PM |
Description
The endeavor to understand how fluid dynamical equations can be
derived from kinetic theory goes back to the founding works of
Maxwell and Boltzmann. Most of these derivations have been well
understood at several formal levels for some time, and yet their
full mathematical justifications are still missing. This talk will
introduce this general problem and describe recent works in which
the acoustic, the incompressible Stokes, and the incompressible
Navier-Stokes limits are now globally establish for the classical
Boltzmann equation considered over any periodic spatial domain of
dimension two or more.