Stability of Couette flow for 2D tropical climate system with zero thermal dissipation

被引：0
作者：
Niu, Dongjuan [1 ]
Wu, Huiru [2 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
来源：
NONLINEARITY | 2025年 / 38卷 / 01期
基金：
中国国家自然科学基金;
关键词：
tropical climate system; nonlinear stability; Couette flow; zero thermal dissipation; GLOBAL REGULARITY; WELL-POSEDNESS; MODEL;
D O I：
10.1088/1361-6544/ad9b66
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the nonlinear stability of Couette flow for the two-dimensional tropical climate system with zero thermal dissipation in the domain TxR. To overcome the difficulty caused by the absence of the thermal dissipation, we fully exploit the structure of the system and the enhanced dissipation created by the non-self-adjoint operator y partial derivative x-Delta to obtain the expected stability result.
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页数：13
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