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arXiv · 2507.10094

Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation

Kamal N. Soltanov
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Abstract

This article examines the smoothness of the solution to the Navier-Stokes equation from a novel perspective. Here, the existence of the smoother solution relative to x and to the time t was shown only for a finite time. Moreover, for each considered case of the problem, a blowup time for its solutions can be demonstrated.

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Kamal N. Soltanov. 2025-07-14. Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation. https://arxiv.org/abs/2507.10094

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