Hoang Duc Luu (MPI MIS, Leipzig)
Friday, February 26, 2021 - 11:00
Virtual event (Videobroadcast) - link for registration
Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, 04103 Leipzig
We provide an analytic approach to study the long term behavior of rough differential/evolution equations, with the driving noises of Hoelder continuity. Such systems can be solved either with Lyons’ theory of rough paths, in particular the rough integrals are understood in the Gubinelli sense for controlled rough paths, or with fractional calculus. Using the framework of random dynamical systems and random attractors, we prove the existence and upper semi-continuity of a global pullback attractor.
submitted by Katja Heid (Katja.Heid@mis.mpg.de, 0341 9959 50)