$L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains

Fuente: arXiv
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Autores principales: Chen, Zhi-Min, Dong, Bo-Qing, Zhang, Qiuyue
Formato: Preprint
Publicado: 2025
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_version_ 1866912211538018304
author Chen, Zhi-Min
Dong, Bo-Qing
Zhang, Qiuyue
author_facet Chen, Zhi-Min
Dong, Bo-Qing
Zhang, Qiuyue
contents Consider three-dimensional fractional MHD equations in an exterior domain with the Dirichlet boundary condition assumed. Asymptotic behaviours of weak solutions to the three-dimensional exterior fractional MHD equations are studied. $L^2$ decay estimates of the weak solutions are obtained.
format Preprint
id arxiv_https___arxiv_org_abs_2501_17179
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains
Chen, Zhi-Min
Dong, Bo-Qing
Zhang, Qiuyue
Analysis of PDEs
35B40, 35D30, 35Q35, 76D99
Consider three-dimensional fractional MHD equations in an exterior domain with the Dirichlet boundary condition assumed. Asymptotic behaviours of weak solutions to the three-dimensional exterior fractional MHD equations are studied. $L^2$ decay estimates of the weak solutions are obtained.
title $L^2$ decay estimates of weak solutions to 3D fractional MHD equations in exterior domains
topic Analysis of PDEs
35B40, 35D30, 35Q35, 76D99
url https://arxiv.org/abs/2501.17179