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Remarks on the global regularity of two-dimensional magnetohydrodynamics system with zero dissipation
Kazuo Yamazaki
We study the two-dimensional generalized magnetohydrodynamics system with generalized dissipation and diffusion in terms of fractional Laplacians. It is known that the classical ma…
Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems
Kazuo Yamazaki
We study the regularity criteria of the three dimensional generalized MHD and Navier-Stokes systems. In particular, we show that the regularity criteria of the generalized MHD syst…
On the global regularity of two-dimensional generalized magnetohydrodynamics system
Kazuo Yamazaki
We study the two-dimensional generalized magnetohydrodynamics system with dissipation and diffusion in terms of fractional Laplacians. In particular, we show that in case the diffu…
Global regularity of logarithmically supercritical MHD system with zero diffusivity
Kazuo Yamazaki
We prove the global regularity of the solution pair to the N-dimensional logarithmically supercritical magnetohydrodynamics system with zero diffusivity. This is the endpoint case…