American Institute of Mathematics, Palo Alto, California
Doron Levy and Benoit Perthame
This workshop, sponsored by AIM and the NSF, will focus on unifying techniques which were developed in different application areas and exploring new application areas where existing techniques have not yet been applied.
Hyperbolic systems of conservation laws are being used for models in a variety of applications such as gas dynamics, acoustics, optics, and geophysics. It turns out that in many areas of interest, the dynamics is driven by balance laws that are conservation laws with source terms. Several important examples include:
The area of numerical methods for balance laws has been very active in the past five years. Nevertheless, most of the activity in this area has been driven by specific applications. The motivations for this workshop are:
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and working sessions.
Invited participants include F. Bouchut, S. Bryson, A. Chertock, B. Despres, F. Filbet, I. Gamba, A. Gelb, M. Gerritsen, J. Goodman, T. Hou, S. Jin, S. Karni, T. Katsaounis, R. Klein, D. Kroener, A. Kurganov, D. Levy, M. Lukacova, S. Noelle, B. Perthame, G. Russo, C. Simeoni, E. Tadmor, V. Zeitlin (Tseitline).
The deadline to apply for support to participate in this workshop has passed.
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