The effect of damping terms on decay rate for system of three nonlinear wave equations with weak-memories
| العنوان: | The effect of damping terms on decay rate for system of three nonlinear wave equations with weak-memories |
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| المؤلفون: | Khaled Zennir, Derradji Guidad, Mohamed Berbiche, Abdelhak Berkane |
| المصدر: | The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 10:635-647 |
| بيانات النشر: | L and H Scientific Publishing, LLC, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Control and Optimization, Nonlinear wave equation, Mathematical analysis, Computational Mechanics, Discrete Mathematics and Combinatorics, Statistical and Nonlinear Physics, Point (geometry), Function (mathematics), Some Energy, Wave equation, Energy (signal processing), Domain (mathematical analysis), Mathematics |
| الوصف: | In this paper, we consider a very important problem from the point of view of application in sciences and engineering. A system of three wave equations having a different damping effects in an unbounded domain with strong external forces. Using the Faedo-Galerkin method and some energy estimates, we will prove the existence of global solution in $\mathbb{R}^n$ owing to to the weighted function. By imposing a new appropriate conditions, which are not used in the literature, with the help of some special estimates and generalized Poincar\'e's inequality, we obtain an unusual decay rate for the energy function. |
| تدمد: | 2164-6414 2164-6376 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::ea0d13c09a77e972776c8ff814ae4877 https://doi.org/10.5890/dnc.2021.12.005 |
| رقم الأكسشن: | edsair.doi...........ea0d13c09a77e972776c8ff814ae4877 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 21646414 21646376 |
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