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Structure-preserving discretisation for the magneto-frictional equations in the Parker Conjecture
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Reporter:
Mingdong He, Doctor, University of Oxford
Inviter:
Shipeng Mao, Professor
Subject:
Structure-preserving discretisation for the magneto-frictional equations in the Parker Conjecture
Time and place:
10:00-11:00 March 20(Thursday), S713
Abstract:

The Parker conjecture, which explores whether magnetic fields in perfectly conducting plasmas can develop tangential discontinuities during magnetic relaxation, remains an open question in astrophysics. Helicity conservation provides a topological barrier during relaxation, preventing topologically nontrivial initial data relaxing to trivial solutions; preserving this mechanism discretely over long time periods is therefore crucial for numerical simulation. This work presents an energy- and helicity-preserving finite element discretization for the magneto-frictional system for investigating the Parker conjecture. The algorithm preserves a discrete version of the topological barrier and a discrete Arnold inequality. We also discuss extensions to domains with nontrivial topology.