无热耗散d维热带气候模型的小初值整体解  

Global Small Solutions for the d-D Tropical Climate Model Without Thermal Diffusion

作　　者：原保全[1] 陈霞 Bao Quan YUAN;Xia CHEN(School of Mathematics and Information Science,Henan Polytechnic University,Henan 454000,P.R.China)

机构地区：[1]河南理工大学数学与信息科学学院,焦作454000

出　　处：《数学学报（中文版）》2023年第3期485-494,共10页Acta Mathematica Sinica：Chinese Series

摘　　要：本文研究小初值情况下无热耗散d(d≥2)维热带气候模型的整体适定性问题,文中考虑的模型在速度的正压模和第一斜压模方程上分别具有分数阶耗散Λ^(2α)u的Λ^(2β)v.当0≤α<1,1/2≤β≤1且α+β≥1时,在小初值的假设下,我们建立了整体解的存在性和唯一性.This paper studies the global well-posedness issue on the d-dimensional(d≥2)tropical climate model without thermal diffusion for small initial data.The model considered here has fractional dissipationsΛ^(2α)u andΛ^(2β)v on the equations of the barotropic mode and the first baroclinic mode of velocity,respectively.We establish the global existence and uniqueness of the solutions for the case when O≤α<1,1/2≤β≤1 andα+β≥1under small initial data.

关 键 词：热带气候模型 整体适定性 小初值 

分 类 号：O175.29[理学—数学]