On asymptotic behavior and blow-up of solutions for a nonlinear viscoelastic Petrovsky equation with positive initial energy
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Publication:352588
DOI10.1155/2013/905867zbMath1270.35299OpenAlexW2073635639WikidataQ59012721 ScholiaQ59012721MaRDI QIDQ352588
Publication date: 5 July 2013
Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/905867
Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
Related Items (7)
Blow-up and global existence analysis for the viscoelastic wave equation with a frictional and a Kelvin-Voigt damping ⋮ Mittag-Leffler stability for a fractional Euler-Bernoulli problem ⋮ Lower and upper bounds for the blow-up time to a viscoelastic Petrovsky wave equation with variable sources and memory term ⋮ Blow-up of solution for a nonlinear Petrovsky type equation with memory ⋮ Blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive ⋮ Nonexistence of global solutions for a class of viscoelastic wave equations ⋮ Polynomial-exponential stability and blow-up solutions to a nonlinear damped viscoelastic Petrovsky equation
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