Global existence and decay estimates for a viscoelastic plate equation with nonlinear damping and logarithmic nonlinearity

2022/01/04 by Bhargav Kumar Kakumani, Kakumani, Bhargav Kumar, Suman Prabha Yadav +1
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Contact Mechanics and Variational Inequalities #FOS: Mathematics #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2201.00983

openalex publication_date 2022/01/04 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28

Abstract

In this article, we consider a viscoelastic plate equation with a logarithmic nonlinearity in the presence of nonlinear frictional damping term. Using the the Faedo-Galerkin method we establish the global existence of the solution of the problem and we also prove few general decay rate results.

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