English

A regularity criterion for a 3D tropical climate model with damping

Analysis of PDEs 2022-09-14 v3

Abstract

In this paper we deal with the 3D tropical climate model with damping terms in the equation of the barotropic mode uu and in the equation of the first baroclinic mode vv of the velocity, and we establish a regularity criterion for this system thanks to which the local smooth solution (u,v,θ)(u, v, \theta) can actually be extended globally in time.

Cite

@article{arxiv.2205.03841,
  title  = {A regularity criterion for a 3D tropical climate model with damping},
  author = {Diego Berti and Luca Bisconti and Davide Catania},
  journal= {arXiv preprint arXiv:2205.03841},
  year   = {2022}
}

Comments

16 pages. Amended version of the article, which has been accepted by J. Math. Anal. Appl

R2 v1 2026-06-24T11:10:36.704Z