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Local Existence of Solutions to the Magnetohydrodynamic Equation in R+n+1

Author: YuXiaoLi
Tutor: XueRuYing
School: Zhejiang University
Course: Basic mathematics
Keywords: MHD right away Stokes operator Existence Analytic semigroup
CLC: O175.2
Type: Master's thesis
Year: 2010
Downloads: 4
Quote: 0
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Abstract


The local existence of the article focuses on half-space R n = {x = ( x , xn ) ∈ Rn 1 ; x ∈ Rn , xn gt ; 0 } on magnetohydrodynamics (MHD) equations in Besov space weak solution and the only problem . We first discuss the Stokes operator in some properties based on the L ∞ negative -order Besov space and prove that it can generate an analytic semigroup , then the use of negative -order Besov space given the MHD equations partial compression fixed point theorem existence of solutions , and the only conclusion .

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Partial Differential Equations
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