具有可变系数的准线性克莱因-戈登-薛定谔系统的稳定性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-25 DOI:10.1007/s10957-024-02445-y

Weijia Li, Yuqi Shangguan, Weiping Yan

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引用次数: 0

摘要

本文涉及无量纲形式的变系数准线性克莱因-哥顿-薛定谔系统的可稳定问题。Liu-Yan-Zhang (SIAM J Control Optim 61:1651-1678, 2023)考虑了具有 Kelvin-Voigt 阻尼的准线性 Klein-Gordon-Wave 系统的稳定性。我们的主要贡献是找到一个合适的线性反馈控制律，使准线性克莱因-哥顿-薛定谔系统在一定的小性条件下指数稳定。

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Stabilizability for Quasilinear Klein–Gordon–Schrödinger System with Variable Coefficients

This paper concerns with the stabilizability for a quasilinear Klein–Gordon–Schrödinger system with variable coefficients in dimensionless form. The stabilizability of quaslinear Klein–Gordon-Wave system with the Kelvin–Voigt damping has been considered by Liu–Yan–Zhang (SIAM J Control Optim 61:1651–1678, 2023). Our main contribution is to find a suitable linear feedback control law such that the quasilinear Klein–Gordon–Schrödinger system is exponentially stable under certain smallness conditions.

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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.