Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term

Autor:	Baowei Feng, Zayd Hajjej, Mohammad M. Al-Gharabli, Mohamed Balegh, Salim A. Messaoudi
Rok vydání:	2022
Předmět:	Nonlinear system Control and Optimization Logarithm Applied Mathematics Modeling and Simulation Mathematical analysis Relaxation (physics) Convex function Wave equation Viscoelasticity Convexity Mathematics Term (time)
Zdroj:	Evolution Equations and Control Theory. 11:1149
ISSN:	2163-2480
Popis:	In this paper, we consider a Balakrishnan-Taylor viscoelastic wave equation with nonlinear frictional damping and logarithmic source term. By assuming a more general type of relaxation functions, we establish explicit and general decay rate results, using the multiplier method and some properties of the convex functions. This result is new and generalizes earlier results in the literature.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5c30b30eeab6cbec4f48afd30cf25b10 https://doi.org/10.3934/eect.2021038 Zobrazit plný text záznamu