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• W1823285411 abstract "We study the Serrin-type regularity criteria for the solutions to the four-dimensional Navier-Stokes equations and magnetohydrodynamics system. We show that the sufficient condition for the solution to the four-dimensional Navier-Stokes equations to preserve its initial regularity for all time may be reduced from a bound on the four-dimensional velocity vector field to any two of its four components, from a bound on the gradient of the velocity vector field to the gradient of any two of its four components, from a gradient of the pressure scalar field to any two of its partial derivatives. Results are further generalized to the magnetohydrodynamics system. These results may be seen as a four-dimensional extension of many analogous results that exist in the three-dimensional case and also component reduction results of many classical results." @default.
• W1823285411 created "2016-06-24" @default.
• W1823285411 creator A5011915062 @default.
• W1823285411 date "2014-07-28" @default.
• W1823285411 modified "2023-09-27" @default.
• W1823285411 title "Regularity criterion of the 4D Navier-Stokes equations involving two velocity field components" @default.
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• W1823285411 hasPublicationYear "2014" @default.
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