A new strict decay rate for systems of longitudinal m-nonlinear viscoelastic wave equations
| Autor: | Keltoum Bouhali, Sulima Ahmed Zubair, Wiem Abedelmonem Salah Ben Khalifa, Najla ELzein AbuKaswi Osman, Khaled Zennir |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | AIMS Mathematics, Vol 8, Iss 1, Pp 962-976 (2023) |
| Druh dokumentu: | article |
| ISSN: | 2473-6988 00372625 |
| DOI: | 10.3934/math.2023046?viewType=HTML |
| Popis: | Recent years have been marked by a significant increase in interest in solving nonlinear equations that arise in various fields of natural science. This trend is associated with the creation of a new method of mathematical physics. The present study is devoted to the analysis of the propagation of m-nonlinear viscoelastic waves equations in an unbounded domain. The physical properties are determined by the equations of the linear theory of viscoelasticity. This article shows the main effect and interaction between the different weak and strong damping terms on the behavior of solutions. We found, under a novel condition on the kernel functions, an energy decay rate by using an appropriate energy estimates. |
| Databáze: | Directory of Open Access Journals |
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