3pm - 4pm
Tuesday 13 March 2018
On the (deterministic and stochastic) Navier-Stokes equations with constrained $L^2$ energy of the solution
Professor Zdzislaw Brzezniak (University of York) will be speaking.
We study deterministic and stochastic Navier-Stokes equations with a constraint on $L^2$ energy of the solution. We prove the existence and uniqueness of local strong solutions and the existence of a global solutions for the constrained 2D Navier-Stokes equations on the torus on the whole Euclidean space. This is based on joint works with Gaurav Dhariwal (York) and Mauro Mariani (Roma I).