## Alexander Panchenko (Washington State University)-Nonlocal continuum models of particle systems

Mathematics - Colloquium

Friday, March 22, 2013

11:00 AM-12:00 PM

Stratton Hall

203

ABSTRACT: The main question addressed in the talk is how to obtain continuum equations for spatial averages from the ODEs of classical particle dynamics. Balance equations for the average density, linear momentum, and energy were derived by Irving and Kirkwood, Noll, Hardy, Murdoch and others. The missing ingredient in these works was closure: the equations were exact but calculation of fluxes required solving the underlying ODE system. We present a closure approximation based on the use of regularized deconvolutions, and discuss the resulting constitutive equations. Examples include Lennard-Jones oscillator chains, granular acoustics and meshless discretizations of two-fluid flows.

Suggested Audiences:
College, Adult

E-mail:
ma-chair@wpi.edu

Last Modified: March 11, 2013 at 10:23 AM

## Alexander Panchenko (Washington State University)-Nonlocal continuum models of particle systems

Mathematics - Colloquium

Friday, March 22, 2013

11:00 AM-12:00 PM

Stratton Hall

203

ABSTRACT: The main question addressed in the talk is how to obtain continuum equations for spatial averages from the ODEs of classical particle dynamics. Balance equations for the average density, linear momentum, and energy were derived by Irving and Kirkwood, Noll, Hardy, Murdoch and others. The missing ingredient in these works was closure: the equations were exact but calculation of fluxes required solving the underlying ODE system. We present a closure approximation based on the use of regularized deconvolutions, and discuss the resulting constitutive equations. Examples include Lennard-Jones oscillator chains, granular acoustics and meshless discretizations of two-fluid flows.

Suggested Audiences: College, Adult

E-mail: ma-chair@wpi.edu

Last Modified: March 11, 2013 at 10:23 AM