具有单分量水平耗散的二维Navier-Stokes方程的全局适定性

IF 2.8 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-08-13 DOI:10.1016/j.aml.2025.109719

Xiaochuan Guo, Hongxia Lin, Ruiqi You, Wenjie Yao

引用次数: 0

摘要

本文研究周期方框上一类特殊的各向异性Navier-Stokes方程。在水平分量方程中，系统只有水平耗散。利用周期域的特殊性质和分解技术，证明了H2中对称解的全局适定性和稳定性。在水平周期中，得到了u2和振荡u ~ 1(1)的指数衰减率。我们的工作将Dong et al.（2021）的稳定性结果扩展到更弱的耗散。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Global well-posedness for 2D Navier–Stokes equations with horizontal dissipation in only one component

This paper concerns a special anisotropic Navier–Stokes equations on periodic boxes. The system only has horizontal dissipation in the horizontal component equation. Based on special properties of the periodic domain and decomposition techniques, we prove the global well-posedness and stability of the symmetric solution in

H^{2}

. Furthermore, exponential decay rates are obtained for

u_{2}

and the oscillation

{\tilde{u}}_{1}^{(1)}

in horizontal periodic. Our work extends the stability result in Dong et al. (2021) to weaker dissipation.

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.