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Mathematical Theory of Hyperbolic Systems of Conservation Laws

23rd March 2003 to 29th March 2003

Organisers: J Ballmann (Aachen, Germany), CM Dafermos (Providence, USA) and PG LeFloch (Palaiseau, France), R LeVeque (Seattle, USA), and EF Toro (Trento, Italy)

Workshop Theme

Nonlinear hyperbolic systems of conservation laws govern a broad spectrum of physical phenomena, in compressible fluid dynamics, nonlinear material science, etc. Such equations admit solutions that may exhibit shock waves and other nonlinear waves (propagating phase boundaries, fluid interfaces, etc) which play a dominant role in multiple areas of physics. Recent developments on the theory of one-dimensional systems will be covered, including: entropy conditions, L1 well-posedness, singular limits, diffusive approximations, relaxation models, kinetic relations, shock wave structure, links with thermodynamics, etc.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons