Friday, August 11

MS37
Hamiltonian Systems and Related Problems in PDEs

1:30 PM-3:30 PM
Orchard & Pikake (Salon 7 & 8)

The connections between Hamiltonian mechanics and the calculus of variations have long been known. After some of the necessary technical tools from critical point theory were discovered in the 1970's-1980's, the area of applications of variational methods to Hamiltonian systems grew very rapidly. The speakers in this minisymposium will highlight some of recent progress in critical point theory and its applications, including the existence of periodic orbits and connecting orbits of Hamiltonian systems and related topics in dynamical systems and partial differential equations.

1:30-1:55 Critical Points and Infinite Dimensional Hamiltonian Systems

Yanheng Ding, Chinese Academy of Sciences, China

2:00-2:25 Closed Characteristics on Compact Convex Hypersurfaces in R²ⁿ

Yiming Long and Chaofeng Zhu, Nankai University, China

2:30-2:55 Some Variational Methods for Studying Connecting Orbits of Hamiltonian Systems

Chao-Nien Chen, Organizer

3:00-3:25 A Singular Gierer-Meinhardt System of Elliptic Equations

Yung Sze Choi, University of Connecticut, USA