Björn Gebhard (Universität Leipzig): On the Rayleigh-Taylor instability
Wednesday, 18.05.2022 14:00 im Raum M5
We consider the inhomgeneous incompressible Euler equations
describing two fluids with different constant densities under the
influence of gravity. Initially the fluids are supposed to be at rest
and separated by a flat horizontal interface with the heavier fluid
being on top of the lighter one. Due to gravity this configuration
is unstable, the two fluids begin to mix in a more and more turbulent
way. This is called the Rayleigh-Taylor instability. In the talk we will see how admissible solutions to the Euler equations reflecting a turbulent mixing of the two fluids in a quadratically growing zone can be constructed. Furthermore, if time allows, we will discuss an arising selection problem for the averaged motion of solutions.
This is based on joint works with József Kolumbán, László Székelyhidi, Jonas Hirsch.