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Young Women in Harmonic Analysis and PDE

December 2-4, 2016

Xian Liao (University of Bonn)

Regularity issue in Navier-Stokes equations

I will first review some basic properties of Navier-Stokes equations (such as scaling invariant property and energy inequalities), so as to introduce the notations of strong solutions and weak solutions. Then we turn to have a look at the density dependent case, where we show in particular the propagation of the regularity of the density patch problem.