ON ALMOST AXISYMMETRIC INCOMPRESSIBLE MAGNETOHYDRODYNAMICS IN THREE DIMENSIONS  

作　　者：Qunyi BIE Hao CHEN 别群益;陈浩

机构地区：[1]College of Science&Three Gorges Mathematical Research Center,China Three Gorges University,Yichang 443002,China [2]College of Science,China Three Gorges University,Yichang 443002,China

出　　处：《Acta Mathematica Scientia》2025年第2期446-472,共27页数学物理学报(B辑英文版)

基　　金：supported by the National Natural Science Foundation of China(11871305).

摘　　要：In this paper,we study the Cauchy problem of three-dimensional incompressible magnetohydrodynamics with almost symmetrical initial values in the cylindrical coordinates.Here the almost axisymmetric means that(■θu_(0)^(r),■θeu_(0)^(θ),■θeu_(θ)^(z))is small.With additional smallness assumption on(u_(0)^(θ),b_(0)^(θ)),we prove the global existence of a unique strong solution(u,b),which keeps close to some axisymmetric vector fields.Moreover,we give the initial data with some special symmetric structures that will persist for all time.

关 键 词：MAGNETOHYDRODYNAMICS almost symmetrical cylindrical coordinates 

分 类 号：O175[理学—数学]