English

Global regularity for the 2D micropolar Rayleigh-B\'{e}nard convection system with velocity zero dissipation and temperature critical dissipation

Analysis of PDEs 2023-07-14 v1

Abstract

This paper studies the global regularity problem for the 2D micropolar Rayleigh-B\'{e}nard convection system with velocity zero dissipation, micro-rotation velocity Laplace dissipation and temperature critical dissipation. By introducing a combined quantity and using the technique of Littlewood-Paley decomposition, we establish the global regularity result of solutions to this system.

Keywords

Cite

@article{arxiv.2307.06637,
  title  = {Global regularity for the 2D micropolar Rayleigh-B\'{e}nard convection system with velocity zero dissipation and temperature critical dissipation},
  author = {Baoquan Yuan and Changhao Li},
  journal= {arXiv preprint arXiv:2307.06637},
  year   = {2023}
}

Comments

15 pages