On global regular solutions to magnetohydrodynamics in axi-symmetric domains

On global regular solutions to magnetohydrodynamics in axi-symmetric domains

We consider mhd equations in three-dimensional axially symmetric domains under the Navier boundary conditions for both velocity and magnetic fields. We prove the existence of global, regular axi-symmetric solutions and examine their stability in the class of general solutions to the mhd system. As a...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2016-12, Vol.67 (6), p.1-22, Article 142
Hauptverfasser: Nowakowski, Bernard, Zajączkowski, Wojciech M.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of mathematics
Boundary conditions
Computational fluid dynamics
Engineering
Fluid flow
Magnetic fields
Magnetohydrodynamics
Mathematical analysis
Mathematical Methods in Physics
MHD
Navier-Stokes equations
Norms
Theoretical and Applied Mechanics
Velocity
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Zusammenfassung:We consider mhd equations in three-dimensional axially symmetric domains under the Navier boundary conditions for both velocity and magnetic fields. We prove the existence of global, regular axi-symmetric solutions and examine their stability in the class of general solutions to the mhd system. As a consequence, we show the existence of global, regular solutions to the mhd system which are close in suitable norms to axi-symmetric solutions.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-016-0734-z