Nonlinear Conservation Laws and Related Problems (09w5090)


(University of Oxford)

(McMaster University)

Constantine Dafermos (BROWN UNIVERSITY)

(University of Maryland)


The Banff International Research Station will host the "Nonlinear Conservation Laws and Related Problems" workshop next week, October 4 - October 9, 2009.

Nonlinear Conservation Laws result from the balance laws of continuum physics and govern a broad spectrum of physical phenomena in compressible fluid dynamics, nonlinear materials science, particle physics, semiconductors, combustion, multi-phase flows, astrophysics, and other applied areas. They have a close connection with various geometric problems including low codimension isometric embeddings and the Nirenberg problem of embedding of Riemannian
manifolds with prescribed Gauss curvature. In recent years, major progress has been made in both the theoretical and numerical aspects of the field.

The theme of the workshop is on several aspects of the theory of weak solutions for hyperbolic systems, the mathematical theory of transport equations that arise in the kinetic theory of gases, the investigation of the multidimensional Euler, relativistic Euler, Euler-Poisson, and Navier-Stokes equations, and related applications of nonlinear conservation laws to physical and geometric problems.

The goal of the workshop is to bring together experts in the theoretical and numerical aspects of hyperbolic conservation laws and related partial differential equations to take part in the examination of emerging problems, exchanging ideas in a structured and focused environment. Furthermore, the workshop offers an opportunity to bring into focus other problems that are able to be addressed by the methods developed by the conservation laws community.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the US National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnologí­a (CONACYT).