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Study On The Inviscid Limit Theory Of The 3D Magneto-micropolar Fluid Equations

Posted on:2022-10-22Degree:MasterType:Thesis
Country:ChinaCandidate:M ZhangFull Text:PDF
GTID:2480306737453674Subject:Mathematics
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In this paper,the solvability and the vanishing limit of viscosity of the three-dimensional Magneto-Micropolar fluid equations under specific physical boundary conditions are studied in a bounded domain.Firstly,we use the method of Galerkin approximation to obtain the global existence of the weak solution of Magneto-Micropolar fluid equations.And we study the local existence and uniqueness of the strong solution on the basis of the former.Uniform bounded estimation of the higher order local strong solutions in the domain with flat boundary are ob-tained by analyzing the boundary conditions.Ultimately,we consider the viscosity vanishing limit.That is the convergence estimation of the strong solution in the sense of H~3((?))norm as all the viscosity coefficients goes to zero.In addition,the convergence rate estimate result in the sense of H~2((?))norm is obtained.
Keywords/Search Tags:Magneto-Micropolar fluid equations, Vanishing Viscosity Limit, Galerkin Approximation
PDF Full Text Request
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