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Fluid Dynamical Limits for the Boltzmann Equation


Speaker: C. David Levermore, University of Maryland, College Park
Location: 693 Kerr
Start time: Thu, Jan 23 2003, 4:10PM

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.