From: Kelli McGee \(Kelly Services Inc\) (a-kellim@microsoft.com)
Date: Thu Feb 19 2004 - 09:39:23 PST
You are invited to attend...
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WHO: Horng-Tzer Yau
AFFILIATION: Stanford University
TITLE: Superdiffusivity of two dimensional stochastic
particle systems
WHEN: Mon 3/8/2004
WHERE: 113/1159 Research Lecture Room, MS Research
TIME: 3:30pm to 5:00pm
HOST: Jennifer Chayes
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ABSTRACT:
Consider a model of lattice gas dynamics with the incompressible
Navier-Stokes equations as the formal limit. We shall prove that its
viscosity converges in dimension $d\ge3$ and diverges for $d\le 2$. This
shows that the two dimensional Navier-Stokes equations have a
logarithmic discrepancy in modelling the two dimensional fluid. For the
special case of the two dimensional asymmetric simple exclusion process,
the diffusion coefficient is proved to diverge as $(\log t)^{2/3}$ to
the leading order in $d=2$.
BIO:
Horng-Tzer Yau received his Ph.D. at Princeton University in 1987.
Currently he is a Professor of Mathematics at Stanford University where
his research interests are Probability, Stochastic process,
Nonequilibrium statistical physics, Quantum mechanics, Mathematical
physics, and Partial differential equations.
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