June 18,  19,  20   2003
 
 
 

03:30 PM - Thursday, June 19, 2003 - Amphitheater Darboux

Ridgway Scott

Department of Mathematics
University of Chicago
258 Ryerson Hall, Chicago, IL 60637 , USA

ridg@cs.uchicago.edu

Models for Dispersive Fluid Flow

This talk will focus on models for dispersive fluid flow in two and three dimensions which have arisen in various contexts. The models augment the Navier-Stokes model. One version is known in different contexts as the grade-two model of Rivlin and Ericksen and the Lagrangian Averaged Navier-Stokes (alpha) model. We will discuss derivations of models and some properties in applications. We will review what has been developed recently regarding the theoretical basis for the models and their (stable) numerical discretizations. We will discuss a controversy regarding the sign of the coefficient alpha in one popular model and suggest a resolution.