On the Construction of Beltrami Fields and Associated Boundary Value Problems

Pablo Enrique Moreira Galvan; Briceyda  Delgado

doi:10.1007/s00006-024-01340-z

On the Construction of Beltrami Fields and Associated Boundary Value Problems

Pablo Enrique Moreira Galvan
, Briceyda Delgado

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Resumen

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.

Idioma original	Inglés
Número de páginas	20
Publicación	Advances in Applied Clifford Algebras
Volumen	34
N.º	39
DOI	https://doi.org/10.1007/s00006-024-01340-z
Estado	Publicada - 1 ago 2024

Palabras clave

Beltrami field
Force-free field
Monogenic function
Transmutation operator
oundary value problem

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10.1007/s00006-024-01340-z

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AB - 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.

KW - Beltrami field

KW - Force-free field

KW - Monogenic function

KW - Transmutation operator

KW - oundary value problem

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