Global existence, uniform decay, and exponential growth of solutions for a system of viscoelastic Petrovsky equations

DOI10.3906/MAT-1212-15zbMath1288.35088OpenAlexW1980926710MaRDI QIDQ5415735

Amir Peyravi, Faramarz Tahamtani

Publication date: 16 May 2014

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1212-15

zbMATH Keywords

global existenceuniform decaypotential well methodexponential growthviscoelastic Petrovsky equationperturbed energy functionals

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Higher-order quasilinear hyperbolic equations (35L77) Initial-boundary value problems for higher-order hyperbolic systems (35L57)

Related Items (5)

On asymptotic behavior and blow-up of solutions for a nonlinear viscoelastic Petrovsky equation with positive initial energy ⋮ Global nonexistence for a nonlinear viscoelastic equation with nonlinear damping and velocity-dependent material density ⋮ Continuous dependence of semilinear Petrovsky equation ⋮ Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation ⋮ Lifespan for solutions to 4-th order hyperbolic systems with time dependent coefficients

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