Time: 14:00-15:00, Monday, August 12 2024

Venue: E4-233, Yungu Campus

Speaker: Gaston Alfonso Vergara Hermosilla, Paris-Saclay University

Title: Liouville type theorems for stationary Navier-Stokes equations with Lebesgue spaces of variable exponent

Abstract: In this talk we will present some Liouville-type theorems for the stationary 3D Navier-Stokes equations. These results are related to the uniqueness of weak solutions for this system under some additional information over the velocity field, which is usually stated in the literature in terms of Lebesgue, Morrey or $BMO^{−1}$ spaces. Here we will consider Lebesgue spaces of variable exponent which will provide us with some interesting flexibility.