Global well-posedness of the MHD equations via the comparison principle
classification
🧮 math.AP
keywords
comparisonequationsglobalprinciplewell-posednessconstructingdomainequilibrium
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In this paper, we prove the global well-posedness of the incompressible MHD equations near a homogeneous equilibrium in the domain $R^k\times T^{d-k}, d\geq2,k\geq1$ by using the comparison principle and constructing the comparison function.
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