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Room P3.10, Mathematics Building
Moritz Reintjes, Instituto Superior Técnico
Introduction to the Theory of Shock Waves VI
I plan to cover the following topics: Euler equations; Burger's equation; $p$-system; symmetric hyperbolic PDEs; 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.
Additional file
Planned duration: 6 x 1.5 hours.
Projecto FCT UID/MAT/04459/2019.