### 07/12/2018, 14:00 — 15:30 — Room P4.35, Mathematics Building

Moritz Reintjes, *Instituto Superior Técnico*

### Introduction to the Theory of Shock Waves (IV)

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.

### Bibliography

- 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.

#### See also

Notes for this talk

Planned duration: 6 x 1.5 hours.