Joint BCAM-UPV/EHU Analysis and PDE seminar: TBD

Date: Tue, Mar 26 2024

Hour: 12:00-13:00

Location: UPV/EHU

Speakers: Eduard Feireisl - Institute of Mathematics of the Czech Academy of Sciences, Praha

Stationary statistical solutions (invariant measures) represent a standard tool for describing turbulent phenomena in fluid mechanics. We consider the complete Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat conducting fluid driven by boundary temperature fluctuations (Rayleigh-Benard problem). We show that any omega-limit set associated to a global in time (weak) solution supports an invariant measure - stationary statistical solution. The proof is based on careful analysis of propagation of density oscillations. 

Joint work with A. Swierczewska-Gwiazda (Warsaw)

Confirmed speakers:

Eduard Feireisl - Institute of Mathematics of the Czech Academy of Sciences, Praha