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09/11/2018, 15:00 — 16:30 — Room P3.10, Mathematics Building

Moritz Reintjes, *Instituto Superior Técnico*

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Introduction to the Theory of Shock Waves (I)

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.

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 (on his webpage)