Stability results of locally coupled wave equations with local Kelvin-Voigt damping: Cases when the supports of damping and coupling coefficients are disjoint

作者：Mohammad Akil, Haidar Badawi, S. Nicaise · 发表于：Computational and Applied Mathematics · 年份：2022 · DOI：10.1007/s40314-022-01956-6 · 被引用次数：10 · 研究领域：Computer Science、Mathematics

In this paper, we study the direct/indirect stability of locally coupled wave equations with local Kelvin-Voigt dampings/damping, where we assume that the supports of the dampings and the coupling coefficients are disjoint. First, we prove the well-posedness, strong stability, and polynomial stability for some one dimensional coupled systems. Moreover, under some geometric control conditions, we prove the well-posedness and strong stability in the multi-dimensional case.