On Shape Optimization Theory with Fractional Laplacian

IF 4.6 2区数学 Q1 MATHEMATICS, APPLIED

Applied and Computational Mathematics Pub Date : 2021-06-26 DOI:10.11648/j.acm.20211003.12

Malick Fall, I. Faye, Alassane Sy, D. Seck

引用次数: 0

Abstract

The fractional Laplacian is a nonlocal operator that appears in biology, in physic, in fluids dynamic, in financial mathematics and probability. This paper deals with shape optimization problem associated to the fractional laplacian ∆s, 0 under constraints volume. Finally, shape derivative of the functional is established by using Hadamard formula’s and an optimality condition is also given.

查看原文本刊更多论文

基于分数阶拉普拉斯的形状优化理论

分数阶拉普拉斯算子是一种非局部算子，广泛应用于生物学、物理学、流体动力学、金融数学和概率论等领域。研究了体积约束下分数阶拉普拉斯函数∆s, 0的形状优化问题。最后，利用Hadamard公式建立了该泛函的形状导数，并给出了最优性条件。

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

Applied and Computational Mathematics 数学-应用数学

CiteScore

8.80

自引率

5.00%

发文量

审稿时长

6 months

期刊介绍： Applied and Computational Mathematics (ISSN Online: 2328-5613, ISSN Print: 2328-5605) is a prestigious journal that focuses on the field of applied and computational mathematics. It is driven by the computational revolution and places a strong emphasis on innovative applied mathematics with potential for real-world applicability and practicality. The journal caters to a broad audience of applied mathematicians and scientists who are interested in the advancement of mathematical principles and practical aspects of computational mathematics. Researchers from various disciplines can benefit from the diverse range of topics covered in ACM. To ensure the publication of high-quality content, all research articles undergo a rigorous peer review process. This process includes an initial screening by the editors and anonymous evaluation by expert reviewers. This guarantees that only the most valuable and accurate research is published in ACM.