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

Qi S. Zhang

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

Analysis of PDEs 2024-08-27 v2

Authors: Qi S. Zhang

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.

Keywords

navier-stokes equations blow up solution super critical forcing axial symmetry finite cylinder energy space

Cite

@article{arxiv.2311.12306,
  title  = {A blow up solution of the Navier-Stokes equations with a super critical forcing term},
  author = {Qi S. Zhang},
  journal= {arXiv preprint arXiv:2311.12306},
  year   = {2024}
}

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