10/12/2018, 14:00 — 15:30 — Room P3.10, Mathematics Building
Moritz Reintjes, Instituto Superior Técnico
Introduction to the Theory of Shock Waves (V)
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.
Planned duration: 6 x 1.5 hours.