Gregory Seregin

Oxford University, UK, and St Petersburg Department of Steklov Mathematical Institute, Russia

On Liouville-type Theorems for Steady-State Navier–Stokes Equations

The talk addresses Liouville-type theorems for the Navier–Stokes equations in stationary case. It starts with a short motivation and with the set-up of the main problem about so-called \(D\)-solutions (energy solutions). Although it is still unsolved in full generality, certain (but not all) results will be stated and explained.