Thursday, August 10

MS25
Recent Progress in Hyperbolic Conservation Laws

3:30 PM-5:30 PM
Orchard & Pikake (Salon 7 & 8)

Research in the theory of hyperbolic conservation laws has used many tools from the field of dynamical systems, and has also been a source of interesting problems for the dynamical systems community. Examples include the use of viscous profiles to determine shock stability and the construction of discrete shock profiles to interpret numerical results on shock computation. In this minisymposium, four speakers who work on different aspects of conservation laws will present results in different areas, including powerful new numerical and theoretical methods, and extensions of the theory to include new applications. The goal of the minisymposium is to give an updated report on the problems that currently concern research in theory, computation and applications of conservation laws, emphasizing the dynamical systems aspects of these problems. It is hoped that new interactions between the conservation law and dynamical systems communities will be stimulated by the talks. The intended audience is people interested in partial differential equations and dynamics.

3:30-3:55 Cancelled Adaptive Grid Method Based on Harmonic Mapping and its Applications

Tao Tang, Hong Kong Baptist University, China

4:00-4:25 Well-posedness Theory for Hyperbolic Conservation Laws

Tong Yang, City University of Hong Kong, China

4:30-4:55 Title to be determined

Zhou Ping Xin, Organizer

5:00-5:25 Conservation Laws without Hyperbolicity: the Dynamics of Singular Shocks

Barbara L. Keyfitz, Organizer