APDE seminar@BCAM: On Liouville-type theorems for equations arising in fluid dynamics

Abstract

In this talk we will study some Liouville-type theorems for different three-dimensional systems describing the motion of fluids. These results are related to the uniqueness of weak solutions for such equations under some additional information on the velocity field,  or other states, which are usually stated in the literature in terms of Lebesgue, Morrey, or BMO-1 spaces. Here we will consider Lebesgue spaces of variable exponent, which provides some interesting flexibility.