Weizmann Institute of Science and
The University of California, Irvine
The Navier–Stokes, Euler and other related equations
In this talk I will survey the status of, and the most recent advances concerning, the questions of global regularity of solutions to the three-dimensional Navier–Stokes and Euler equations of incompressible fluids. Furthermore, and if time allows, I will also present recent global regularity (and finite time blow up) results concerning certain three-dimensional geophysical flows, including the three-dimensional viscous (non-viscous) “primitive equations” of oceanic and atmospheric dynamics.