Regularity criteria for the three-dimensional axially symmetric non-resistive incompressible magnetohydrodynamic system
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DOI: 10.1080/00036811.2024.2381208
Abstract: ABSTRACT In this paper, we study the three-dimensional axially symmetric non-resistive incompressible magnetohydrodynamic system. By establishing a rough blow-up criteria on $ \frac {\omega ^\theta }{r} $ ωθr, we show a Ladyzhenskaya–Prodi–Serrin type regularity criteria… read more here.
Keywords: non resistive; dimensional axially; three dimensional; resistive incompressible ... See more keywords
Integrability of the n-dimensional Axially Symmetric Chaplygin Sphere
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DOI: 10.1134/s1560354719050022
Abstract: We consider the $n$-dimensional Chaplygin sphere under the assumption that the mass distribution of the sphere is axisymmetric. We prove that for initial conditions whose angular momentum about the contact point is vertical, the dynamics… read more here.
Keywords: axially symmetric; chaplygin; chaplygin sphere; integrability dimensional ... See more keywords