New regularity estimates for compressible Navier-Stokes

New regularity estimates for compressible Navier-Stokes

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PE Jabin, University of Maryland
Fine Hall 322

We present a new approach offering explicit regularity estimates for solutions to transport equations, and in particular for the density of the solutions to the compressible Navier-Stokes equations. This new method removes several constraints of the classical Lions-Feireisl theory. It thus allows us to treat a larger class of models with *non* *monotone* *pressure* terms, or *anisotropic* *viscosity* for instance, leading to many applications from geophysical flows (eddy viscosity) to solar events (virial pressure law) and some biological situations.