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| On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type* |
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Citation： |
Yan CUI,Zhiqiang WANG.On the Asymptotic Stability of Wave Equations Coupled by Velocities of Anti-symmetric Type*[J].Chinese Annals of Mathematics B,2021,42(6):812~832 |
| Page view： 654
Net amount： 517 |
Authors： |
Yan CUI; Zhiqiang WANG |
Foundation： |
National Natural Science Foundation of China (Nos. 11971119,12001555), the Science and Technology Commission of Shanghai Municipality (No. 19JC1420101) and the Shanghai Key Laboratory for Contemporary Applied Mathematics at Fudan University (No. 74120-42080001) |
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| 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. |
Keywords： |
Wave equations, Coupled by velocities, Logarithmic stability |
Classification： |
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