题目：Anisotropic Compressible Flows in the Small Reynolds Number Regime
报告人：Dr. Cosmin Burtea （University of Paris VII）
In this talk we discuss an existence result regarding bounded-energy weak-solutions for the quasi-stationary compressible Stokes equations. This system arises for instance in biology, porous media, supra-conductivity or other applications in the low Reynolds number regime. These equations are formally obtained from the Navier-Stokes system for a compressible barotropic fluid by discarding the convective terms from the momentum equation. The key ingredient is a new identity that we obtain in the following way. Given a sequence of weak-solutions we take a look at the limit of the equations of the associated energies. From the limiting equation we subtract the equation of the energy associated to the system veried by the limit of the aforementioned sequence of weak-solutions. It turns out that the resulting expression can be put under the form of an evolution equation for a defect measure characterizing strong convergences for the density sequence. The result that is presented is obteined in collaboration with D. Bresch.
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