We construct examples of smooth periodic solutions to the Magnetohydrodynamic equations in dimension 2 with positive resistivity for which the topology of the magnetic lines changes under the flow. By Alfven's theorem this is known to be impossible in the ideal case (resistivity = 0). In the resistive case the reconnection of the magnetic lines is known to occur and has deep physical implications, being responsible for many dynamic phenomena in astrophysics. The construction is a simplified proof of Caro, Ciampa, and Luca (2022) and in addition we consider the case of the forced system.

On the Topology of the Magnetic Lines of Solutions of the MHD Equations

Ciampa, Gennaro
2024-01-01

Abstract

We construct examples of smooth periodic solutions to the Magnetohydrodynamic equations in dimension 2 with positive resistivity for which the topology of the magnetic lines changes under the flow. By Alfven's theorem this is known to be impossible in the ideal case (resistivity = 0). In the resistive case the reconnection of the magnetic lines is known to occur and has deep physical implications, being responsible for many dynamic phenomena in astrophysics. The construction is a simplified proof of Caro, Ciampa, and Luca (2022) and in addition we consider the case of the forced system.
2024
9783031552595
9783031552601
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/247600
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