Asymptotic behavior of a logarithmic-viscoelastic wave equation with internal fractional damping

被引：0

作者：

Aounallah, Radhouane ^{[1
]}

Choucha, Abdelbaki ^{[2
,3
]}

Boulaaras, Salah ^{[4
]}

机构：

[1] Echahid Cheikh Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessi 12000, Algeria

[2] Amar Teleji Laghouat Univ, Fac Sci, Dept Mat Sci, Laghouat, Algeria

[3] Ghardaia Univ, Lab Math & Appl Sci, Bounoura, Algeria

[4] Qassim Univ, Coll Sci, Dept Math, Buraydah 51452, Saudi Arabia

来源：

PERIODICA MATHEMATICA HUNGARICA | 2024年

关键词：

Fractional damping; General decay; Relaxation function; Logarithmic source term; Partial differential equations; Nonlinear equations; GENERAL DECAY; BLOW-UP; ENERGY; EXISTENCE;

D O I：

10.1007/s10998-024-00611-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a viscoelastic wave equation with internal fractional damping and a logarithmic source term. By utilizing the energy method combined with the Faedo-Galerkin procedure, we establish the existence of a global solution. Furthermore, we demonstrate that, under the general assumption on the relaxation function g, the global solutions exhibit a general decay behavior. This is achieved by constructing a suitable Lyapunov functional.

引用

页数：30

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