Summer Term 2017
- S1G1 Seminar Fourier-Analysis
Prof. Barbara Niethammer, Constantin Eichenberg
- MB07 Seminar Mathematische Modellierung
Dr. Christian Seis
- S5B2 Graduate Seminar PDE in the Sciences
Prof. Dr. Barbara Niethammer, Prof. Dr. Juan Velázquez
Fr 13:00 - 15:00 Uhr, Room 2.040
- April 28: Stefanie Heyden
- May 12: Vu Hoang
Singularity formation for one-dimensional active scalar equations
In this talk, I consider a scalar transport equation on the real line. I will focus on the case of an active scalar, i.e. the velocity field will depend on the transported quantity. More precisely, the velocity will be given by an integral operator acting on the scalar field. Due to this relationship, the equation acquires a non-local character, which makes analysis beyond the basic local-in-time existence results very challenging. An especially interesting phenomenon is that of finite-time singularity formation, about which many questions are still open. The talk will describe recent efforts to understand the intrinsic nature and shape of these singularities.
Active scalar equations may also serve as simplified model systems for two- and three-dimensional inviscid fluid equations, such as the Boussinesq and Euler equations. In this connection, I will highlight recent work on the hyperbolic flow scenario for the Boussinesq equations.
- May 19: Richard Höfer
- May 26: Min-Gi Lee: Attention! This talk has been moved to Tuesday, May 23, 16.30h in the Lipschitz lecture hall.
- June 2: Sebastian Throm
- July 21: Thilo Simon