On the non-uniqueness of solutions of the swirl-free axi-symmetric Navier-Stokes equations
On the non-uniqueness of solutions of the swirl-free axi-symmetric Navier-Stokes equations
-
Alexandru Ionescu, Princeton
Fine Hall 314
I will discuss some recent computer-assisted work on the question of non-uniqueness of solutions of the incompressible Navier-Stokes in 3D. The incompressible Navier-Stokes equations are "regular" equations in the class of axi-symmetric swirl-free solutions, for which large data global regularity of smooth solutions is known. The point of the lecture is to provide evidence that non-uniqueness of solutions still holds in critical and slightly super-critical spaces.