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arXiv · 1408.0159

A blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition

Eiichi Nakai·Tsuyoshi Yoneda
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Abstract

A blowup criteria along maximum point of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition is constructed. This criterion is different from the Beale-Kato-Majda type and Constantin-Fefferman type criterion. If geometric behavior of the velocity vector field near the maximum point has a kind of symmetry up to a possible blowup time, then the solution can be extended to be the strong solution beyond the possible blowup time.

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Eiichi Nakai, Tsuyoshi Yoneda. 2014-08-01. A blowup criteria along maximum points of the 3D-Navier-Stokes flow in terms of function spaces with variable growth condition. https://arxiv.org/abs/1408.0159

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