Thursday, May 13

Fluid Instabilities: Viscous and Inviscid

3:45 PM-5:45 PM
Room: Savannah East

During the last several years, the techniques of classical hydrodynamic stability theory have been applied to several unusual problems, e.g. flows with particles and non-Newtonian flows. Nevertheless, there remain certain outstanding problems of viscous instability whose resolution have defied complete mathematical analysis. Among these are Taylor-Couette flow; inviscid instability; shear flows and general solutions to the 2D Euler equations.The speakers will discuss techniques of operator theory combined with a judicious use of numerical methods and asymptotics resolving these problems.

Organizer: Isom H. Herron
Rensselaer Polytechnic Institute

3:45-4:10 Instabilities in Sedimentation of Particles in a Second-Order Fluid
Giovanni P. Galdi, University of Pittsburgh
4:15-4:40 The Unstable Spectrum of Oscillating Shear Flows
Susan J. Friedlander, University of Illinois, Chicago
4:45-5:10 UpdatedMathematical Issues from the Onset of Viscous Instabiliites
Isom H. Herron, Organizer
5:15-5:40 UpdatedResults from a Maximum Entropy Principle Compared with Some Direct Numerical Simulations
Nathaniel Whitaker, University of Massachusetts, Amherst

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LMH, 1/19/99, MMD, 3/15/99