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 Mathematical Issues from the Onset of Viscous Instabiliites**

- Isom H. Herron, Organizer

**5:15-5:40 Results from a Maximum Entropy Principle Compared with Some Direct Numerical Simulations**

- Nathaniel Whitaker, University of Massachusetts, Amherst

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