Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity-Reference-Cited by-同舟云学术

Blow-Up for a Stochastic Viscoelastic Lamé Equation with Logarithmic Nonlinearity

Published:2021-04-17 Issue: Volume:2021 Page:1-10
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Benramdane Amina¹,Mezouar Nadia²,Alqawba Mohammed Sulaiman³,Boulaaras Salah Mahmoud³⁴^ORCID,Cherif Bahri Belkacem³⁵^ORCID

Affiliation:

1. Mascara University, Faculty of Exact Sciences, Mascara 29000, Algeria

2. Mascara University, Faculty of Economies Sciences, Mascara 29000, Algeria

3. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar Rass, Saudi Arabia

4. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

5. Preparatory Institute for Engineering Studies in Sfax, Tunisia

Abstract

In this paper, we consider an initial boundary value problem of stochastic viscoelastic wave equation with nonlinear damping and logarithmic nonlinear source terms. We proved a blow-up result for the solution with decreasing kernel.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/9943969.pdf

Reference15 articles.

1. Long time existence for the wave equation with a noise term

2. Stochastic Wave Equations with Polynomial Nonlinearity

3. Asymptotics of solutions to semilinear stochastic wave equations

4. Nonlinear stochastic wave equations: Blow-up of second moments in L2-norm

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