Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping

Fuente: arXiv
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Autores principales: Liu, Hui, Sun, Chengfeng, Li, Mei
Formato: Preprint
Publicado: 2023
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author Liu, Hui
Sun, Chengfeng
Li, Mei
author_facet Liu, Hui
Sun, Chengfeng
Li, Mei
contents The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for $α\geq\frac{3}{2}$ and $β\geq4$. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in $H^s(\mathbb R^3)$ $(s>2)$ for $α\geq\frac{3}{2}$ and $4\leqβ\leq5$.
format Preprint
id arxiv_https___arxiv_org_abs_2307_05145
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
Liu, Hui
Sun, Chengfeng
Li, Mei
Analysis of PDEs
35B65, 35Q35, 35Q86, 76D03
The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for $α\geq\frac{3}{2}$ and $β\geq4$. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in $H^s(\mathbb R^3)$ $(s>2)$ for $α\geq\frac{3}{2}$ and $4\leqβ\leq5$.
title Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
topic Analysis of PDEs
35B65, 35Q35, 35Q86, 76D03
url https://arxiv.org/abs/2307.05145