Time: 11:00-12:00, Thursday, November 21 2024

Venue: E4-233, Yungu Campus

Speaker: Ioann Vasilyev, Steklov Mathematical Institute

Title: Density-dependent Navier-Stokes system in critical tent spaces: the existence

Abstract: In this talk we will show the existence of global in time solutions to the density-dependent (sometimes also called inhomogeneous) Navier--Stokes system in the framework of weighted parabolic tent spaces, under an assumption of smallness of the initial velocity in those spaces and for the initial density close to zero in the uniform metric. The talk will be based on a common work with R. Danchin, https://arxiv.org/pdf/2305.09027