TY - JOUR
T1 - On the Construction of Beltrami Fields and Associated Boundary Value Problems
AU - Moreira Galvan, Pablo Enrique
AU - Delgado, Briceyda
PY - 2024/8/1
Y1 - 2024/8/1
N2 - 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.
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
U2 - 10.1007/s00006-024-01340-z
DO - 10.1007/s00006-024-01340-z
M3 - Artículo
SN - 1661-4909
VL - 34
JO - Advances in Applied Clifford Algebras
JF - Advances in Applied Clifford Algebras
IS - 39
ER -