Some aspects of hyperbolic PDE

Some aspects of hyperbolic PDE Some aspects of hyperbolic PDE : Persistence of shock waves in fluid dynamics, Traffic flow, Stability of scalar conservation laws. M. Mercier Institut Camille Jordan, Lyon December 7. 2009 M. Mercier (Institut Camille Jordan, Lyon) Some aspects of hyperbolic PDE December 7. 2009 1 / 52

• classical solutions


• traffic flow


• compressible fluid


• time existence


• balance laws


• pedestrian traffic


• l1 theory