Nonlinear logarithmic wave equations: blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation
type: Item
instance of: scholarly article
title: Nonlinear logarithmic wave equations: blow-up phenomena and the influence of fractional damping, infinite memory, and strong dissipation
zbMATH Open document ID: 1544.93302
author: Muhammad Fahim Aslam
author: Jianghao Hao
published in: Evolution Equations and Control Theory
publication date: 2024-08-30T00:00:00Z
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 7903746
zbMATH Keywords: blow-up phenomena
zbMATH Keywords: nonlinear logarithmic wave equations
zbMATH Keywords: fractional damping
zbMATH Keywords: infinite memory
zbMATH Keywords: strong dissipation
MaRDI profile type: Publication
cites work: REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
cites work: Biot-JKD model: simulation of 1D transient poroelastic waves with fractional derivatives
cites work: Fractional order Volterra equations with applications to elasticity
cites work: Asymptotic stability in viscoelasticity
cites work: Existence of a solution of the wave equation with nonlinear damping and source terms
cites work: Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay
cites work: The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
cites work: Blow-up of positive-initial-energy solutions for nonlinearly damped semilinear wave equations
cites work: Exponential growth for a fractionally damped wave equation
cites work: Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
cites work: Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
cites work: Wave energy decay under fractional derivative controls
cites work: Q4257963
cites work: Stability of Timoshenko systems with past history
cites work: On the decay of solutions for porous-elastic systems with history
cites work: Smooth attractors for strongly damped wave equations
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Analysis of natural and artificial phenomena using signal processing and fractional calculus
cites work: Some pioneers of the applications of fractional calculus
DOI: 10.3934/EECT.2024034
description: scientific article; zbMATH DE number 7903746