Thesis title: Rayleigh-Taylor Instability with Heat Transfer

Meeting via bluejeans link: https://bluejeans.com/603353375/4347?src=calendarLink

Point of Contact: 

Qianli Hu qianli.hu@math.gatech.edu

Ronghua Pan panrh@math.gatech.edu (thesis advisor)

Time: 09/May/2020, 2:00pm - 3:30pm

Abstract:

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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 weak form are 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.