On the non-smooth divergence free transport
时间 Time： 周二 14:00 -15:00，2020 - 12 - 8
The uniqueness of solutions to the free transport equation is classical when the transport is Lipschtzian, and still holds when the transport is in Sobolev class due to Diperna-Lions, and in BV due to Ambrosio. The uniqueness theorems of Diperna-Lions and Ambrosio find various applications in fluids and kinetic equations. In this talk, I will present an example of non-uniqueness of L-infinity solutions to the non-smooth divergence free transport, joint with F. Colombini and J. Rauch. The construction is of geometric and intuitive nature.
Tencent Meeting: https://meeting.tencent.com/s/P6J3wG1f1YIx
Tencent Meeting ID：399 513 652