On the non-smooth divergence free transport

报告人 Speaker:罗涛
时间 Time: 周二 14:00 -15:00,2020 - 12 - 8
地点 Venue:线上
                       

简介 Description

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.
                       

摘要 Abstract

Tencent Meeting:  https://meeting.tencent.com/s/P6J3wG1f1YIx  

Tencent Meeting ID:399 513 652 

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