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On the Construction of Beltrami Fields and Associated Boundary Value Problems

Research Output: Contribution to journal Article Peer-review

Open access

Publication Information

Output type

Research Output: Contribution to journal Article Peer-review

Original language

English

Journal (Volume, Issue Number)

Advances in Applied Clifford Algebras (Volume 34, Issue 39)

Publication milestones

  • Published - 01/08/2024

Publication status

Published - 01/08/2024

ISSN

1661-4909

Abstract

In this paper, we present two simple methods for constructing Beltrami fields. The first one consists of a composition of operators, including a quaternionic transmutation operator as well as the computation of formal powers for the function f=e^(i\lambda x). For the second method, we generate Beltrami fields from harmonic functions, and using the intrinsic relation between the normal and tangential derivative, we solve an associated Neumann-type boundary value problem.