A blow up solution of the Navier-Stokes equations with a super critical forcing term

Qi S. Zhang

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arXiv · 2311.12306

A blow up solution of the Navier-Stokes equations with a super critical forcing term

Qi S. Zhang

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Abstract

A forced solution $v$ of the axially symmetric Navier-Stokes equation in a finite cylinder $D$ with suitable boundary condition is constructed. The forcing term is in the super critical space $L^q_t L^1_x$ for all $q>1$. The velocity is in the energy space at the final moment when it blows up.

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Qi S. Zhang. 2023-11-21. A blow up solution of the Navier-Stokes equations with a super critical forcing term. https://arxiv.org/abs/2311.12306

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