English

Global large solution for the tropical climate model with diffusion

Analysis of PDEs 2022-10-17 v3

Abstract

This paper studies the d-dimensional (d=2,3) tropical climate model with only the dissipation of the first baroclinic model of the velocity (ηΔv-\eta\Delta v). By choosing a class of special initial data (u0,v0,θ0)(u_0,v_0,\theta_0) whose Hs(Rd)H^s(\mathbb{R}^d) norm can be arbitrarily large, we obtain the global smooth solution of d-dimensional tropical climate model.

Cite

@article{arxiv.2110.07852,
  title  = {Global large solution for the tropical climate model with diffusion},
  author = {Xia Chen and Baoquan Yuan and Ying Zhang},
  journal= {arXiv preprint arXiv:2110.07852},
  year   = {2022}
}

Comments

12 pages

R2 v1 2026-06-24T06:54:34.713Z