Department of Physics and Physical Oceanography Colloquium Student presentation On the Theory of Nonlinear Shock Waves and Supersonic Flow Youssef R. Driss Advisors: Dr. Russell Herman and Dr. Gabriel Lugo In this talk we will relate nonlinear wave propagation with supersonic flow to understand sonic booms. We explore the formation of shock waves described by the solutions of simple nonlinear wave equations based on conservation laws, such as the inviscid Burgers' equation. In general, shock waves result from wave steepening due to nonlinearity. In gas dynamics, this results in an abrupt change in the medium often due to the speed of the wave being greater than the local speed of sound of the fluid. Thursday, April 28, 2016 3:00 PM DeLoach Hall, Room 212