On the hydrostatic approximation of Navier-Stokes-Maxwell system with Gevrey data

被引：0
|
作者：
Liu, Ning [1 ]
Paicu, Marius [2 ]
Zhang, Ping [3 ,4 ,5 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[2] Univ Bordeaux, Inst Math Bordeaux, F-33405 Talence, France
[3] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
[4] Chinese Acad Sci, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China
[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2024年 / 187卷
基金：
国家重点研发计划; 中国国家自然科学基金;
关键词：
Navier-Stokes-Maxwell system; Hydrostatic approximation; Boundary layer; Gevrey regularity; WELL-POSEDNESS; BOUNDARY-LAYER; EQUATIONS;
D O I：
10.1016/j.matpur.2024.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the local well-posedness of a scaled anisotropic NavierStokes-Maxwell system in a 2-D striped domain with initial data around some nonzero background magnetic field in Gevrey-2 class. Then we rigorously justify the limit from the scaled anisotropic equations to the associated hydrostatic system and provide with the precise convergence rate. Finally, with small initial data in Gevrey- 2 3 class, we also extend the lifespan of thus obtained solutions to a longer time interval. (c) 2024 Elsevier Masson SAS. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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页码：1 / 44
页数：44
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