Rayleigh-Taylor instability with heat transfer

Dissertation Defense
Saturday, May 9, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Qianli Hu – Georgia Tech – qhu33@gatech.edu
Ronghua Pan

Please Note: Online at https://bluejeans.com/603353375/4347?src=calendarLink

In this thesis, the Rayleigh-Taylor instability effects in the setting of the Navier-Stokes equations, given some three-dimensional and incompressible fluids, are investigated. The existence and the uniqueness of the temperature variable in the the weak form is established under suitable initial and boundary conditions, and by the contraction mapping principle we investigate further the conditions for the solution to belong to some continuous class; then a positive minimum temperature result can be proved, and with the aid of the RT instability effect in the density and the velocity, the instability for the temperature is established.