报告题目：NONLOCAL INTERACTION EQUATIONS ON MANIFOLDS WITH BOUNDARY
Abstract: In this presentation, we discuss biological aggregation in a heterogeneous environment by modeling the environment as a Riemannian manifold with boundary. We develop gradient flow approach in the space of probability measures on the manifold endowed with Riemannian 2-Wasserstein metric. Wethen show the existence and stability of weak measure solutions to a class of nonlocal interaction equationsthrough the existence of gradient flows. We discuss how heterogeneity of the environment leads to newdynamical phenomena. In particular exposed to a unidirectional external potential the agents form a rollingtravelling wave (in contrast to the translational motion in the homogeneous environment). We close the presentation by giving some simulations to show the rolling phenomenon.