 Macroscopic Descriptions of larg Stochastic and Deterministic Systems
Fraydoun Rezakhanlou
University of California Berkeley, CA, USA
Abstract
The majority of the fundamental processes of our natural world are described
by differential equations. Some examples are the flow of fluids, the
formation of crystals, the spread of infections, the diffusion of chemicals,
etc. These examples are responsible for our interest in partial differential
equations such as HamiltonJacobi equation, Euler equation, NavierStokes
equation and Diffusion equation. An important open problem in statistical
mechanics is the derivation of Euler and NavierStokes equations from the
small scale dynamics governed by Newton's second law. Some of the variants
of this problem has been treated recently for some stochastic particle
systems.
These systems are microscopically described by stochastic rules and
macroscopically are governed by Euler or NavierStokes type equations. The
primary goal of these lectures is to study the connection between the
microscopic structure and macroscopic behavior of some of these models.


Information 
Time and Date:  Sunday,
Jan. 7, 2007  15:0017:00
Tuesday, Jan 9, 2007  15:0017:00
Wednesday, Jan 10, 2007  15:0017:00
Saturday, Jan 13, 2007  15:0017:00
 
Place:Lecture Hall, Niavaran Bldg., Niavaran Sqr., Tehran, Iran 
 
