Twitter
|
Facebook
|
LinkedIn
|
Zhihu
|
Weibo
Year
Month
(Peer-Reviewed) On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type
Yan Cui ¹, Zhiqiang Wang 王志强 ²
¹ Department of Mathematics, Jinan University, Guangzhou, 510632, China
中国 广州 暨南大学数学系
² School of Mathematical Sciences and Shanghai Key Laboratory for Contemporary Applied Mathematics, Fudan University, Shanghai, 200433, China
中国 上海 复旦大学数学科学学院 上海市现代应用数学重点实验室
Chinese Annals of Mathematics, Series B, 2021-11-12
https://doi.org/10.1007/s11401-021-0293-8
https://link.springer.com/article/10.1007/s11401-021-0293-8#additional-information
Abstract

In this paper, the authors study the asymptotic stability of two wave equations coupled by velocities of anti-symmetric type via only one damping. They adopt the frequency domain method to prove that the system with smooth initial data is logarithmically stable, provided that the coupling domain and the damping domain intersect each other. Moreover, they show, by an example, that this geometric assumption of the intersection is necessary for 1-D case.
On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type_1
On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type_2
  • Pixel-controlled programmable metasurface as phase-type spatial terahertz modulator
  • Guibin Li, Guanyi Li, Zehao He, Xinke Wang, Peter J. Klar, He Ma, Yan Zhang
  • Opto-Electronic Advances
  • 2026-09-15
  • Spatiotemporal beam stirring in a multicore fiber
  • Alena Y. Kolesnikova, Mikhail D. Gervaziev, Nikita V. Bochkarev, Denis S. Kharenko, Evgeniy V. Podivilov, Sergey A. Babin
  • Opto-Electronic Advances
  • 2026-09-15
  • Ultrafast all-optical modulation of wide-bandwidth pulses enabled by silicon-metasurfaces
  • Kaloyan Georgiev, Khosro Zangeneh Kamali, Anton A. Trifonov, Giulia Crotti, Lyuben Petrov, Stefan Georgiev, Hristo Iliev, Lei Xu, Unai Arregui Leon, Mohsen Rahmani, Giuseppe Della Valle, Ivan Buchvarov, Dragomir Neshev
  • Opto-Electronic Advances
  • 2026-09-15
  • Physics-informed neural fields enable blind aberration correction for partially coherent quantitative phase imaging
  • Shun Zhou, Xingyu Huang, Linpeng Lu, Habib Ullah, Kaiyu Du, Maciej Trusiak, Malgorzata Kujawinska, Yuzhen Zhang, Yao Fan, Qian Chen, Qinrong Zhang, Chao Zuo
  • Opto-Electronic Science
  • 2026-08-26
  • Programmable directional photonic spiking neuron based on a non-Hermitian silicon microresonator
  • Stefano Biasi, Bülent Aslan, Stefano Gretter, Davide Olivieri, Alessandro Foradori, Riccardo Franchi, Lorenzo Pavesi
  • Opto-Electronic Science
  • 2026-08-26
  • Mutual empowerment of artificial intelligence and metasurfaces: intelligent nanophotonics and optical intelligence
  • Yu Zhao, Zile Li, Yongquan Zeng, Shaohua Yu, Guoxing Zheng
  • Opto-Electronic Science
  • 2026-08-26
  • Heterogeneously integrated micro-ring with SnS₂ for dual-functional optical modulation and photodetection
  • Jinyi Du, Lidan Lu, Xu Zhang, Bofei Zhu, Wenbo Bo, Yingjie Xu, Guang Chen, Yanlin He, Guanghui Ren, Xiaoping Lou, Zheng You, Lianqing Zhu
  • Opto-Electronic Advances
  • 2026-08-25
  • Hardware-aware lightweight photonic spiking neural network for pattern classification
  • Shuiying Xiang, Yahui Zhang, Shangxuan Shi, Haowen Zhao, Dianzhuang Zheng, Xingxing Guo, Yanan Han, Ye Tian, Liyue Zhang, Yuechun Shi, Yue Hao
  • Opto-Electronic Advances
  • 2026-08-25
  • PhyspeNet: An empirical physics-aware network for adaptive speckle reconstructive spectrometry
  • Junrui Liang, Min Jiang, Jun Li, Zhongming Huang, Junhong He, Yanting Guo, Yanzhao Ke, Jun Ye, Jiangming Xu, Jinyong Leng, Pu Zhou
  • Opto-Electronic Advances
  • 2026-08-25
  • Video-rate wavefront capture and replay via single-shot reference-free measurement: toward holographic telepresence
  • Minwook Kim, Chansuk Park, Chulmin Oh, KyeoReh Lee, Herve Hugonnet, YongKeun Park
  • Opto-Electronic Advances
  • 2026-08-25
  • Luminescent YAG:Ce³⁺ 3D micro-structures via multi-photon laser lithography
  • Robertas Virkėtis, Greta Merkininkaitė, Artūr Harnik, Ugnė Ūsaitė, Dominykas Dapšys, Arturo Susarrey-Arce, Simas Šakirzanovas, Mangirdas Malinauskas
  • Opto-Electronic Advances
  • 2026-08-25
  • A 36 × 240 Gbps hybrid mode/wavelength division multiplexing transmitter using lithium niobate on insulator
  • Mingyu Zhu, Weihan Wang, Ruitao Ma, Aoyun Gao, Chun Gao, Zexu Wang, Fei Huang, Zhenyuan Bao, Dajian Liu, Jiaxuan Gan, Zejie Yu, Huan Li, Weike Zhao, Daoxin Dai
  • Opto-Electronic Advances
  • 2026-08-25



    • A lignified-layer bridge controlled by a single recessive gene is associated with high pod-shatter resistance in Brassica napus L                                3D dynamic motion of a dielectric micro-sphere within optical tweezers
    About
    |
    Contact
    |
    Copyright © PubCard