Tuesday, July 23
3:15-5:15 PM
MS22
Nonlinear Stability and Long Time Dynamics for PDEs (Part I of II)
The determination of the stability of special solutions - equilibria, traveling waves or periodic oscillations is fundamental to the analysis of nonlinear partial differential equations. The computation of eigenvalues of the discretized linearized system is generally not sufficient. It may be necessary to account for an essential spectrum, or for the unboundedness of formally small perturbations. The computation of the size of critical perturbations for stable solutions and the effect of dissipative perturbations on long time 'conservative' dynamics is also important. The speakers will present new results in this area, and discuss applications to fluid flows.
Organizers: Thomas Hagstrom and Jens Lorenz
University of New Mexico
- 3:15 Large Time Behavior of Scalar Shock Fronts in Multi-Dimensions
- J. Goodman, Courant Institute of Mathematical Sciences, New York University
- 3:45 Stability of Planar Traveling Waves
- T. Kapitula, Virginia Polytechnic Institue and State University
- 4:15 Regularity and Oscillations in Hydrodynamics of an Ideal Incompressible Fluid
- M. Vishik, University of Texas
- 4:45 Convection, Stability and Turbulence
- C. Doering, Los Alamos National Laboratory and Clarkson College
MMD, 5/20/96