Work

Existence and blow-up of logarithmic-viscoelastic wave equation with fractional Kirchhoff type and variables exponents

Year: 2025

Type: article

Abstract: In this paper, we investigate the existence of solutions for a Viscoelastic Wave equation with fractional kirchhof f type and logarithmic term and variables exponents. In the initial boundary value problem of this work, we focus on using the Gagliardo seminorm [.]α,2, and the fractional Laplace operator (-∆)α where 0 < α < 1. Firstly, we prove the existence of the weak solutions, concerning this issue under suitable assumptions on the variables exponents of nonlinear source term, we use the Galerkin’s approximation method. Subsequently, we establish the long-time behavior of solutions with nonpositive initial energy.

Source: Boletim da Sociedade Paranaense de Matemática

DOI: 10.5269/bspm.76202

Authors: Mama Saouli, Mohamed Saadaoui

Institution: Amar Telidji University of Laghouat

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funder: University of Laghouat

OpenAlex ID: W4413927993

FWCI:

Cites: 12

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Related to: 10