Speaker：Shijie Dong (Fudan University)

Time：2021-06-14 09:30

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

We prove global well-posedness for a coupled Dirac–Klein-Gordon (DKG) system in 1 + 2 dimensions under the assumption of small, compact, high-regularity data. We reveal hidden structure within the Klein-Gordon part of the system which allows us to treat the nonlinearities which are below-critical in two spatial dimensions. Furthermore we provide the first asymptotic decay results for the DKG system in 1 + 2 dimensions. This is a joint work with Zoe Wyatt (Cambridge).