Monday, May 24
MS24
Qualitative Analysis of Nonlinear Partial Differential Equations
3:00 PM-5:00 PM
Room: Superior A
The qualitative theory of nonlinear PDEs has developed considerably
over the last few years. The dynamical systems theory of dissipative
nonlinear PDEs allow one to solve problems where the dynamics settle
to a low-dimensional set of solutions and to control these dynamics.
Problems where the dynamics remain high-dimensional offer more
challenge, but the elements of a high-dimensional dynamical system
theory for nonlinear PDEs are beginning to emerge. In this session,
the speakers will explore these emerging techniques and their application.
Björn Birnir
University of California, Santa Barbara
- 3:00-3:25 Emergence of Channelized Drainage Patterns and
Landsurface Scalings
- Terence R. Smith, University of California, Santa
Barbara; Björn Birnir, Organizer; and George E. Merchant,
University of California, Santa Barbara
- 3:30-3:55 Well-Posedness and Ill-Posedness for the Initial
Value Problem of Nonlinear Dispersive Equations
- Gustavo Ponce, University of California, Santa Barbara;
Carlos E. Kenig, University of Chicago; and Luis Vega, Universidad
del Pais Vasco, Bilbao, Spain
- 4:00-4:25 The Evolution of Compactly Supported Planar Vorticity
- Thomas C. Sideris, University of California, Santa
Barbara; and Dragos Iftimie, Université de Rennes 1, France
- Cancelled
4:30-4:55 Analysis and
Control of Jet-Engine Flow
Hoskuldur Hauksson, University of California,
Santa Barbara; and Björn Birnir, Organizer
MMD, 4/10/99
LMH, 1/8/99; tjf, 2/2/99