May 10/11: This week I ¡­

May 10/11: This week I started with conservation laws. I introduced the equations, defined weak solutions and explained why we need them, and derived the Rankine-Hugoniot jump condition. Finally, I introduced the (traveling wave/vanishing viscosity) entropy condition for scalar conservation laws, which is a condition that encodes the missing physics in conservation laws and consequently restores the uniqueness of weak solutions.

No lectures next week (because of 17. mai!).