Exponential stability of a coupled wave system with thermal effects
Ricerche di Matematica - Trang 1-17 - 2022
Tóm tắt
This paper is concerned with the stability of a coupled wave system in one-dimensional space with thermal effects, which is coupled by velocities. We prove the well-posedness of the system by using Lumer-Phillips theorem, and then turn out the exponential stability of the system via the semigroup method. The main novelty of this paper is that the heat-affected system achieves exponential stability compared with the previous non-thermal system.
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