Infinite energy solutions to the Navier-Stokes equations in the half-space and applications

Prange, Christophe

Séminaire Laurent Schwartz — EDP et applications (2017-2018), Exposé no. 2, 18 p.

This short note serves as an introduction to the papers [35, 36]. These two works deal with the existence of mild solutions on the one hand and local energy weak solutions on the other hand to the Navier-Stokes equations in the half-space ${ℝ}_{+}^3$. We emphasize a concentration result for (sub)critical norms near a potential singularity. The contents of these notes were presented during the X-EDP seminar at IHÉS in October 2017.

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