Moritz Reintjes, 2018/12/10, 14h, IIntroduction to the Theory of Shock Waves

I plan to cover the following topics: Euler equations; Burger's equation; p-system; symmetric hyperbolic PDE's; shock formation; Lax method of solving Riemann problems; Glimm's method for solving Cauchy problems; Entropy solutions; artificial viscosity.


  • Joel Smoller, Shock waves and Reaction Diffusion Equations
  • Constantine Dafermos, Hyperbolic Conservation Laws in Continuum Physics
  • Alexandre Chorin and Jerrold Marsden, A Mathematical Introduction to Fluid Mechanics
  • Lecture notes of Blake Temple (on his webpage)