(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
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.
Electrically switchable bright-field and interference-synthesized edge-enhanced imaging with a polarization-multiplexed metalens
Xiaotong Li, Junhwa Seong, Yeseul Kim, Kwang-Suk Oh, Shiqi Hu, Le Dai, Harit Keawmuang, Beomha Yang, Minseok Choi, Youngsun Jeon, Cherry Park, Weiyan Li, Tianxu Jia, Han Zhu, Xiaodong Cai, Qi Zheng, Jinhui Shi, Young-Ki Kim, Yuchuan Shao, Trevon Badloe, Junsuk Rho
Opto-Electronic Science
2026-09-20
3D-printed copper water cooling system assisted fabrication of 10.6-μm high-power CO₂ laser resistance reflectors
Hongfei Jiao, Binbin Jiang, Xinshang Niu, Yifan Wang, Dongdong Li, Jun Yu, Xiaochuan Ji, Jingjing Xia, Jinlong Zhang, Xinbin Cheng, Zhanshan Wang
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
