The talk On PDE analysis of flows of quasi-incompressible fluids, by Yong Lu, will be held on Monday October 13, 2014 at 8:30 in room K4.
Abstract of the talk
We study mathematical properties of quasi-compressible fluids. These are
mixtures in which the density depends on the concentration of one of their
components. Assuming that the mixture meets mass and volume additivity
constraints, this density-concentration relationship is given explicitly.
We show that such a constrained mixture can be written in the form similar
to compressible Navier-Stokes equations with a singular relation between
the pressure and the density. This feature automatically leads to the
density bounded from below and above. After addressing the choice of
thermodynamically compatible boundary conditions, we establish the large
data existence of weak solution to the relevant initial and boundary value
problem. We then investigate one possible limit from a quasi-compressible
to incompressible regime.