Speaker: Barbara Keyfitz Affiliation: Ohio State University Time: 2 pm Thursday, 13 April, 2017 Location: 303-257 |
Recently there has been considerable research into the stability of shocks in systems of conservation laws, with stability understood in some square-integrable sense. In this talk I will give some background on systems of nonlinear hyperbolic partial differential equations (known as conservation laws), and on the issues concerning well-posedness. There are reasons that the still-unsolved problem of existence of solutions in more than a single space dimension is expected to involve L-2, but a simple example shows why that goal is likely to remain elusive. |