• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Jiang, Fei (Jiang, Fei.) [1] (Scholars:江飞) | Jiang, Song (Jiang, Song.) [2]

Indexed by:

Scopus SCIE

Abstract:

This paper is mainly concerned with the global existence and asymptotic behaviour of classical solutions to the three-dimensional (3D) incompressible non-resistive viscous magnetohydrodynamic (MHD) equations with large initial perturbations in a 3D periodic domain (in Lagrangian coordinates). Motivated by the approximate theory of the ideal MHD equations in Bardos et al. (Trans Am Math Soc 305:175-191, 1988), the Diophantine condition imposed in Chen et al. (Sci China Math 64:1-10, 2021) and the magnetic inhibition mechanism in the version of Lagrangian coordinates analyzed in Jiang and Jiang (Arch Ration Mech Anal 233:749-798, 2019), we prove the global existence of a unique classical solution with some class of large initial perturbations, where the intensity of impressed magnetic fields depends increasingly on the H17xH21-norm of the initial velocity and magnetic field perturbations. Our result not only mathematically verifies that a strong impressed magnetic field can prevent the singularity formation of classical solutions with large initial data in the viscous MHD case, but also provides a starting point for the existence theory of large perturbation solutions to the 3D non-resistive viscous MHD equations. In addition, we also show that for large time or sufficiently strong impressed magnetic fields, the MHD equations converge to the corresponding linearized pressureless equations in the algebraic convergence-rates with respect to both time and field intensity.

Keyword:

Community:

  • [ 1 ] [Jiang, Fei]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China
  • [ 2 ] [Jiang, Song]Inst Appl Phys & Computat Math, Huayuan Rd 6, Beijing 100088, Peoples R China
  • [ 3 ] [Jiang, Fei]Ctr Appl Math Fujian Prov, Fuzhou 350108, Fujian, Peoples R China
  • [ 4 ] [Jiang, Fei]Key Lab Operat Res & Control Univ Fujian, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • 江飞

    [Jiang, Fei]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China;;[Jiang, Fei]Ctr Appl Math Fujian Prov, Fuzhou 350108, Fujian, Peoples R China

Show more details

Related Keywords:

Related Article:

Source :

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

ISSN: 0003-9527

Year: 2023

Issue: 5

Volume: 247

2 . 6

JCR@2023

2 . 6 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 2

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

Online/Total:538/10919105
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1