The asymptotic behaviors of solutions for higher-order (<i>m</i> <sub>1</sub>, <i>m</i> <sub>2</sub>)-coupled Kirchhoff models with nonlinear strong damping
نویسندگان
چکیده
Abstract The Kirchhoff model is derived from the vibration problem of stretchable strings. This article focuses on long-time dynamics a class higher-order coupled systems with nonlinear strong damping. existence and uniqueness solutions these equations in different spaces are proved by prior estimation Faedo-Galerkin method. Subsequently, family global attractors problems using compactness theorem. In this article, we systematically propose definition proof process enrich related conclusions models. lay theoretical foundation for future practical applications.
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ژورنال
عنوان ژورنال: Demonstratio Mathematica
سال: 2023
ISSN: ['0420-1213', '2391-4661']
DOI: https://doi.org/10.1515/dema-2022-0197