On the Construction of Beltrami Fields and Associated Boundary Value Problems

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-08-01 DOI:10.1007/s00006-024-01340-z

Pablo E. Moreira, Briceyda B. Delgado

引用次数: 0

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

查看原文本刊更多论文

论贝尔特拉米场的构造及相关的边值问题

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。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.