Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus

2024/02/12 by Lemarié-Rieusset, Pierre Gilles · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.07534

Abstract

We construct non-trivial steady solutions in H^-1 for the 2D Navier-Stokes equations on the torus. In particular, the solutions are not square integrable, so that we have to redefine the notion of solutions.

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