LGRT 1685 Colloquium Room
Starting from Navier-Stokes, I'll describe several adjectives and how they affect the PDEs and their solutions. Then I'll come back to Euler (in 1-D), and describe the crisis that arose in the mid-1800's which led to the development of shock waves. I'll define weak solutions, and list the major achievements over the last 60 years or so. Finally, if there's time, I'll introduce weak* solutions and describe some of my own recent results.