具有内分数阶阻尼的波动与强阻尼Petrovsky方程耦合系统的适定性与稳定性

IF 0.9 Q2 MATHEMATICS
Sara Zouatnia, Salah Boulaaras, Nour Eddine Amroun, Mohammed Said Souid
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引用次数: 0

摘要

研究了有界区域内具有分数阶内阻尼的强阻尼Petrovsky方程与波的耦合系统。利用线性算子的半群理论和Borichev和Tomilov的结论证明了系统是适定的,并分析了系统的稳定性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Well-posedness and stability of coupled system of wave and strongly damped Petrovsky equations with internal fractional damping

We study a coupled system of waves and strongly damped Petrovsky equations with internal fractional damping in a bounded domain. After demonstrating that the system is well-posed using the semigroup theory of linear operators and a conclusion established by Borichev and Tomilov, we analyze the systems stability.

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来源期刊
Afrika Matematika
Afrika Matematika MATHEMATICS-
CiteScore
2.00
自引率
9.10%
发文量
96
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