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.