论贝尔特拉米场的构造及相关的边值问题

IF 1.1 2区数学 Q2 MATHEMATICS, APPLIED

Advances in Applied Clifford Algebras Pub Date : 2024-08-01 DOI:10.1007/s00006-024-01340-z

Pablo E. Moreira, Briceyda B. Delgado

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引用次数: 0

摘要

在本文中，我们介绍了构建贝特拉米场的两种简单方法。第一种方法由算子组成，包括四元变换算子以及函数 \(f(x)=e^{\textbf{i}\lambda x}\ 的形式幂计算。）对于第二种方法，我们从谐函数生成贝尔特拉米场，并利用法向导数和切向导数之间的内在关系，求解相关的诺伊曼型边界值问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Construction of Beltrami Fields and Associated Boundary Value Problems

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 \(f(x)=e^{\textbf{i}\lambda x}\). 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.

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来源期刊

Advances in Applied Clifford Algebras 数学-物理：数学物理

CiteScore

2.20

自引率

13.30%

发文量

审稿时长

3 months

期刊介绍： Advances in Applied Clifford Algebras (AACA) publishes high-quality peer-reviewed research papers as well as expository and survey articles in the area of Clifford algebras and their applications to other branches of mathematics, physics, engineering, and related fields. The journal ensures rapid publication and is organized in six sections: Analysis, Differential Geometry and Dirac Operators, Mathematical Structures, Theoretical and Mathematical Physics, Applications, and Book Reviews.