English

A new approach for the regularity of weak solutions of the 3D Boussinesq system

Analysis of PDEs 2023-03-21 v1

Abstract

We address here the problem of regularity for weak solutions of the 3D Boussinesq equation. By introducing the new notion of partial suitable solutions, which imposes some conditions over the velocity field only, we show a local gain of regularity for the two variables u and θ\theta.

Keywords

Cite

@article{arxiv.2303.10948,
  title  = {A new approach for the regularity of weak solutions of the 3D Boussinesq system},
  author = {Diego Chamorro and Claudiu Mîndrilă},
  journal= {arXiv preprint arXiv:2303.10948},
  year   = {2023}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2302.02675