Finite-time blow-up for the forced 2D Navier-Stokes equations

Filippo Gazzola

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arXiv · 2608.18802

Finite-time blow-up for the forced 2D Navier-Stokes equations

Filippo Gazzola

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Abstract

We provide explicit examples showing that the existing assumptions in literature on the force are sharp for the stated properties of strong solutions to the 2D Navier-Stokes equations. If they fail to be satisfied, finite time blow-up may occur in different forms.

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Filippo Gazzola. 2026-08-19. Finite-time blow-up for the forced 2D Navier-Stokes equations. https://arxiv.org/abs/2608.18802

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