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- W2512156663 abstract "This paper considers the global regularity to the 3D incompressible MHD equations with large initial data in bounded domains. Let μ, ν, u, and b denote the viscosity coefficient, magnetic diffusivity, velocity field, and magnetic field, respectively. We construct new systems for (u − b) and (u + b) to overcome the difficulties caused by the large initial data. It is shown that (u,b)H1 is globally bounded as long as (u0−b0)H1+μ−ν(μ+ν)−1 or (u0+b0)H1+μ−ν(μ+ν)−1 is sufficiently small, which indicates that the Navier-Stokes equations can be regularized by the magnetic field." @default.
- W2512156663 created "2016-09-16" @default.
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- W2512156663 date "2016-08-01" @default.
- W2512156663 modified "2023-09-24" @default.
- W2512156663 title "Global regularity to the 3D MHD equations with large initial data in bounded domains" @default.
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- W2512156663 doi "https://doi.org/10.1063/1.4961161" @default.
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