Workshop From geometry to numerics
IHP, Paris, 20-24 November 2006

Philippe G. LeFloch (Univ. Paris 6, France)

Hyperbolic conservation laws and spacetimes with limited regularity

I will present recent work on the existence and qualitative behavior  of solutions to nonlinear hyperbolic systems of partial differential equations posed on a manifold, especially when both the solutions and the manifold have limited regularity. The discussion will include the  following topics:

• Shock wave theory for hyperbolic conservation laws (joint  work with M. Ben-Artzi, Jerusalem)
• Gowdy-type spacetimes with compressible matter in the  bounded variation class (joint work with J. Stewart, Cambridge)
• njectivity radius estimates for Lorentzian manifolds under  curvature bounds (joint work with B.-L. Chen, Guang-Zhou)

[slides]

[back to the program]