Weekly Seminar (ONLINE via ZOOM)
On the structure of divergence-free vector measures on the plane
Nikolay A. Gusev (Steklov Mathematical Institute (Russia))
Thu, 19 Nov 2020 • 10:15-11:30h • 10:15 ONLINE coffee, 10:30 talk (access data will be published)


The talk will be devoted to the problem of decomposing a divergence-free vector measure into a family of measures induced by closed simple curves. We will discuss applications of such decompositions to rigidity properties of vector measures. Moreover, we will demonstrate that in the two-dimensional case such decomposition is possible for any divergence-free vector measure. Ultimately we will discuss some connections between such decompositions and uniqueness of solutions of Cauchy problem for continuity equation. The talk will be based on a recent joint work with P. Bonicatto.