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Transport, Fluids and Mixing

Hoff solutions for compressible Navier-Stokes equations

speaker: Didier Bresch (Université Savoie Mont-Blanc)

abstract: In this talk, I will discuss Hoff solutions for compressible Navier-Stokes equations. This concerns intermediate regularity compared to global weak solutions à la Leray and strong solutions à la Matsumura-Nishida. I will explain the ideas initially developped by D. Hoff and then show how to extend the method without assuming an $L^\infty$ bound on the initial density playing with the transport equation in a appropriate way. It allows to cover important situations assuming to be close to equilibrium initially. This is a recent joint work with C. Burtea (IMJ Paris, France).

timetable:
Thu 27 Jan, 14:00 - 14:50,
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