25 citations · 156 across the 24 of their papers we have counts for
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math.AP2014★ 18 cited
On the three-dimensional magnetohydrodynamics system in scaling-invariant spaces
Kazuo Yamazaki
We study the criterion for the velocity and magnetic vector fields that solve the three-dimensional magnetohydrodynamics system, given any initial data sufficiently smooth, to expe…
math.AP2014
Regularity criterion of the 4D Navier-Stokes equations involving two velocity field components
Kazuo Yamazaki
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 conditio…
math.AP2014★ 1 cited
A remark on the two-dimensional magneto-hydrodynamics-alpha system
Kazuo Yamazaki
We study the two-dimensional generalized magnetohydrodynamics- system with fractional Laplacians in the dissipative and diffusive terms. We show that the solution pair of veloci…