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math-ph2025
Charged particle motion in a strong magnetic field: Applications to plasma confinement
Ugo Boscain, Wadim Gerner
We derive the zero order approximation of a charged particle under the influence of a strong magnetic field in a mathematically rigorous manner and clarify in which sense this appr…
math-ph2023★ 2 cited
Existence of optimal domains for the helicity maximisation problem among domains satisfying a uniform ball condition
Wadim Gerner
In the present work we present a general framework which guarantees the existence of optimal domains for isoperimetric problems within the class of -regular domains satisf…
math-ph2019★ 10 cited
Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes
Wadim Gerner
In this paper we deal with the existence, regularity and Beltrami field property of magnetic energy minimisers under a helicity constraint. We in particular tackle the problem of c…