4 papers
Stochastic magnetohydrodynamics system: cross and magnetic helicity in ideal case; non-uniqueness up to Lions' exponents from prescribed initial data
Kazuo Yamazaki
We consider the three-dimensional magnetohydrodynamics system forced by random noise. First, for smooth solutions in the ideal case, the cross helicity remains invariant while the…
Remarks on the two-dimensional magnetohydrodynamics system forced by space-time white noise
Kazuo Yamazaki
We study the two-dimensional magnetohydrodynamics system forced by space-time white noise. Due to a lack of an explicit invariant measure, the approach of Da Prato and Debussche (2…
Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model
Kazuo Yamazaki, Xueying Wang
We study the global stability issue of the reaction-convection-diffusion cholera epidemic PDE model and show that the basic reproduction number serves as a threshold parameter that…
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…