期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 532, 期 2, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127913
关键词
Energy decay rate; Euler-Bernoulli plate system; Structural damping; Carleman estimate
This paper studies the longtime behavior of the weakly coupled Euler-Bernoulli plate system with one structural damping. The energy decay rate of the system under certain conditions is analyzed.
In this paper, we study the longtime behavior of the weakly coupled EulerBernoulli plate system with one structural damping. The system consists of two plate equations coupled by zero order terms. First, we show that when the coupling coefficient function is a nonzero constant and the damping coefficient function is a positive constant, the optimal energy decay rate of the system is t- 23. Then we consider the case that the coupling and damping coefficient functions have compact supports. By Carleman estimate and the frequency domain method, we show that the energy of the system decays logarithmically when the supports of the coupling and damping coefficient functions satisfy suitable assumptions.(c) 2023 Elsevier Inc. All rights reserved.
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