具有分数阶导数型边界耗散的磁效应压电梁的多项式稳定性

IF 0.7 3区数学 Q2 MATHEMATICS

Proceedings of the Edinburgh Mathematical Society Pub Date : 2023-02-01 DOI:10.1017/S0013091523000111

Verónica Poblete, F. Toledo, O. Vera

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引用次数: 1

摘要

摘要本文研究了具有分数阶导数型边界耗散的波耦合系统的渐近行为。基于半群方法、能量方法和稳定性结果，证明了适定性和多项式稳定性。

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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Polynomial stability of a piezoelectric beam with magnetic effect and a boundary dissipation of the fractional derivative type

Abstract This work studies the asymptotic behavior of a waves coupled system with a boundary dissipation of the fractional derivative type. We prove well-posedness and polynomial stability based on the semigroup approach, the energy method, and the result of stability.

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来源期刊

Proceedings of the Edinburgh Mathematical Society 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Edinburgh Mathematical Society was founded in 1883 and over the years, has evolved into the principal society for the promotion of mathematics research in Scotland. The Society has published its Proceedings since 1884. This journal contains research papers on topics in a broad range of pure and applied mathematics, together with a number of topical book reviews.