A counter-example concerning regularity properties for systems of conservation laws

  • Date March 5, 2015
  • Hour 3 pm
  • Room GSSI Main Lecture Hall
  • Speaker Laura Spinolo (IMATI-CNR, Pavia)

In 1973 Schaeffer established a result that applies to scalar conservation laws with convex fluxes and can be loosely speaking formulated as follows : for a generic smooth initial datum, the admissible solution is smooth outside a locally finite number of curves in the (t,x) plane. Here "generic" should be interpreted in a suitable sense, related to the Baire Category Theorem. My talk will aim at discussing a recent counter-example that rules out the possibility of extending Schaeffer's Theorem to systems of conservation laws. The talk will be based on a joint work with Laura Caravenna.