n this talk, I will present recent results on entropy solutions for linearly degenerate hyperbolic systems of rich type. I will show the existence and uniqueness of entropy solutions and their convergence to traveling waves as the time goes to infinity. The traveling waves are determined explicitly in terms of the initial data and the system. In particular, the solutions become exact traveling wave after a finite time, provided that the initial data are Riemann type outside a space interval. Applications include the Born-Infeld system and its augmented system.

 

 

报告人简介: Yue-Jun Peng is a full professor of Blaise Pascal University in France. Graduated from Fudan University in 1983 (BS) and in 1986 (MS), he got his PhD from Ecole Normale Superieure de Lyon in 1992. Currently, his main research interests are nonlinear partial differential equations and applications. He has published more than 60 papers.