University of Minnesota
Aerospace Engineering and Mechanics
Winter 1999 Seminar Series



Boltzman Equation, Chapman-Enskog Expansion, and Rivlin-Ericksen fluids


Professor Marshall Slemrod

Center for Mathematical Sciences

University of Wisconsin- Madison


Abstract


The classical Chapman-Enskog expansion provides a bridge between the kinetic description of gas dynamics and continuum mechanics. However truncation of this expansion beyond (first) Navier Stokes order yields instability of the rest state. A special case of Chapman-Enskog is obtained when the constraint of constant density is imposed: the Rivlin-Ericksen fluid which of course exhibits the same instability phenomena upon truncation. This talk illustrates how an approximate sum of the Chapman-Enskog expansion eliminates the instability paradox via derivation of a generalized Clausius-Duhem inequality.

Friday, February 5, 1999
209 Akerman Hall
2:30-3:30 p.m.


Refreshments served after the seminar in 227 Akerman Hall.
Disability accomodations provided upon request.
Contact Kristal Belisle, Senior Secretary, 625-8000.