| Abstract: |
| In this lecture we consider two different heat conducting fluids each modelled 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 discuss the existence of a weak solution. The heat capacity of the shell is given energetically. It allows to consider transmission laws ranging from insulation to superconductivity. A variational approach for fluid-structure interaction is used. This method seems particularly usefull for elastodynamics, for which also some results will be discussed in the lecture. The lecture is based on a joint work with Sourav Mitra. |
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