Special Session 96: Recent Trends in Navier-Stokes Equations, Euler Equations, and Related Problems

Thermal effects in fluid structure interactions
Sourav Mitra
IIT Indore
India
Co-Author(s):    
Abstract:
In this talk we consider two different heat conducting fluids each modeled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of the two separated fluids. For this setting we show the existence of a weak solution. We follow a variational approach for fluid-structure interactions. To include temperature a novel two step minimization scheme is used to produce an approximation. The weak solutions are energetically closed and include a strictly positive temperature.