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Focused Workshop on Moffat's Magnetic Relaxation Problem

2023.07.03. - 2023.07.07.
Erdős Center


Woltjer proposed magnetic helicity conservation as an explanation of the observation that various astrophysical plasmas tend to evolve toward a force-free state. Woltjer suggested the variational problem of minimizing total energy under the constraint that magnetic helicity is xed, and he computed formally that the minimizers are, indeed, force-free. Woltjer's problem can be seen as a lower bound to the more geometric variational problem proposed independently by Arnold and Moffatt: minimizing the total energy among those vectorelds which arise from push-forward under a volume-preserving diffeomorphism. The purpose of this focussed workshop is to review the available recent literature and explore connections between the h-principle and magnetic relaxation. For instance: what minimal level of regularity of the vectorfield would suffice to obtain minimizers (inmizers) of the Arnold-Moffat problem? One particular example to look at is the question of what regularity is obtained in Zeldovich's neutron star?


Laszlo Szekelyhidi (Max Planck Institute)


Invited Speakers