Global well-posedness and optimal decay rates for the $ n $-D incompressible Boussinesq equations with fractional dissipation and thermal diffusion

Global well-posedness and optimal decay rates for the $ n $-D incompressible Boussinesq equations with fractional dissipation and thermal diffusion

In this paper, $ n $-dimensional incompressible Boussinesq equations with fractional dissipation and thermal diffusion are investigated. Firstly, by applying frequency decomposition, we find that $ \Vert (u, \theta) \Vert _{L^{2}(\mathbb{R}^{n})} \rightarrow 0 $, as $ t \rightarrow \infty $. Secondl...

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Bibliographic Details
Main Authors: Xinli Wang, Haiyang Yu, Tianfeng Wu
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
fractional boussinesq equations
fractional dissipation
thermal diffusion
optimal decay
global well-posedness
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241660
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https://www.aimspress.com/article/doi/10.3934/math.20241660

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