Decay and Blow up of Solutions for a Delayed Wave Equation with Variable-Exponents
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Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Murat TOSUN
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This work deals with a nonlinear wave equation with delay term and variable exponents. Firstly, we prove the blow up of solutions in a finite time for negative initial energy. After, we obtain the decay results by applying an integral inequality due to Komornik. These results improve and extend earlier results in the literature. Generally, time delays arise in many applications. For instance, it appears in physical, chemical, biological, thermal and economic phenomena. Moreover, delay is source of instability. A small delay can destabilize a system which is uniformly asymptotically stable. Recently, several physical phenomena such as flows of electro-rheological fluids or fluids with temperature-dependent viscosity, nonlinear viscoelasticity, filtration processes through a porous media and image processing are modelled by equations with variable exponents.
Açıklama
Anahtar Kelimeler
Blow up, Decay, Delay term
Kaynak
Conference Proceedings of Science and Technology
WoS Q Değeri
Scopus Q Değeri
Cilt
3
Sayı
1
