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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.08.057
Abstract: Abstract In this paper, we establish the global regularity of the Cauchy problem of the two-dimensional regularized incompressible magnetohydrodynamics equations with the Laplacian dissipation in the velocity equation and zero magnetic diffusion.
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Keywords:
note global;
zero magnetic;
magnetic diffusion;
global regularity ... See more keywords
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Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.063005
Abstract: The flux of ultrahigh energy cosmic rays reaching the Earth is affected by the interactions with the cosmic radiation backgrounds as well as with the magnetic fields that are present along their trajectories. We combine…
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Keywords:
magnetic fields;
cosmic rays;
energy cosmic;
ultrahigh energy ... See more keywords
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Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1130-3
Abstract: This paper concentrates on the global regularity of classical solution to the 212$2\frac{1}{2}$D magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity (i.e., horizontal dissipation, horizontal magnetic diffusion, and horizontal thermal diffusivity; vertical…
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Keywords:
dissipation;
thermal diffusivity;
magnetic diffusion;
magnetic nard ... See more keywords
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Published in 2020 at "Earth, Planets and Space"
DOI: 10.1186/s40623-020-01193-3
Abstract: Earth’s internal magnetic field is generated through motion of the electrically conductive iron-alloy fluid comprising its outer core. Temporal variability of this magnetic field, termed secular variation (SV), results from two processes: one is the…
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Keywords:
variation;
diffusion;
magnetic diffusion;
magnetic field ... See more keywords