- Series
- Dynamical Systems Working Seminar
- Time
- Friday, January 11, 2019 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 246
- Speaker
- Qinbo Chen – AMSS & GT Math
- Organizer
- Qinbo Chen
In this talk, I will discuss the vanishing contact structure problem, which focuses on the asymptotic behavior of the viscosity solutions uε of Hamilton-Jacobi equation H (x, Du(x), ε u(x)) =c, as the factor ε tends to zero. This is a natural generalization of the vanishing discount problem. I will explain how to characterize the limit solution in terms of Peierls barrier functions and Mather measures from a dynamical viewpoint. This is a joint work with Hitoshi Ishii, Wei Cheng, and Kai Zhao.