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arXiv · 2402.07534

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

Pierre Gilles Lemarié-Rieusset
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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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Pierre Gilles Lemarié-Rieusset. 2024-02-12. Highly singular (frequentially sparse) steady solutions for the 2D Navier-Stokes equations on the torus. https://arxiv.org/abs/2402.07534

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