04.02.2026, 9:00 Uhr
– Haus 9, Raum 2.22
Hochschulöffentlicher Vortrag
Stabilization by transport noise and enhanced dissipation in the Kraichnan model
Ivan Yaroslavtsev (Hamburg)
Edriss Titi , University of Cambridge
In this talk, I will present a unifed approach for the effect of fast rotation and dispersion as an averaging mechanism for regularizing and stabilizing certain evolution equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in which large dispersion acts as a destabilizing mechanism for the long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation. In addition, I will present some results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit "Landau-damping" mechanism due to large spatial average in the initial data.