On decay and blow-up of solutions for a system of viscoelastic equations with weak damping and source terms

DOI10.1186/S13660-019-2155-YzbMath1499.35097OpenAlexW2961640841WikidataQ127462570 ScholiaQ127462570MaRDI QIDQ2067959

Luofei He

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2155-y

zbMATH Keywords

blow updecay ratenonlinear dampingviscoelastic equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Blow-up in context of PDEs (35B44)

Cites Work

• Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
• General decay of solutions of a nonlinear system of viscoelastic wave equations
• Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations
• General decay of solutions for a viscoelastic equation with nonlinear damping and source terms
• Global nonexistence of positive initial energy solutions for a viscoelastic wave equation
• General and optimal decay for a quasilinear viscoelastic equation
• General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source
• Uniform decay of solutions for a quasilinear system of viscoelastic equations
• General decay and blow-up of solutions for a nonlinear viscoelastic wave equation with strong damping
• Exponential and polynomial decay for a quasilinear viscoelastic equation
• Existence and uniform decay for a non-linear viscoelastic equation with strong damping

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