### Multidimensional Shock Waves and Free Boundary Problems

Chen, G-Q *(University of Oxford)*

Wednesday 26 February 2014, 15:15-16:15

Seminar Room 2, Newton Institute Gatehouse

#### Abstract

In this talk we will discuss several longstanding, fundamental shock problems in mathematical fluid mechanics and related free boundary problems for nonlinear partial differential equations of mixed elliptic-hyperbolic type. These shock problems include the supersonic flow onto solid wedges (the Prandtl-Meyer problem), shock reflection-diffraction by concave cornered wedges (the von Neumann's conjectures), and shock diffraction by convex cornered wedges (the Lighthill problem).

#### Video

This talk has not been recorded because the speaker withheld their permission.