General decay of solutions for a viscoelastic equation with Balakrishnan-Taylor damping

DOI10.11650/tjm.19.2015.4631zbMath1357.35229OpenAlexW2071783939MaRDI QIDQ514862

Shun-Tang Wu

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4631

zbMATH Keywords

global existencerelaxation functiongeneral decayBalakrishnan-Taylor dampingviscoelastic equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Second-order semilinear hyperbolic equations (35L71)

Related Items (7)

Asymptotic stability of a viscoelastic problem with Balakrishnan-Taylor damping and time-varying delay ⋮ Unnamed Item ⋮ General decay result of solutions for viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term ⋮ Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects ⋮ A nonlinear plate control without linearization ⋮ General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term ⋮ Long-time dynamics of Balakrishnan-Taylor extensible beams

Cites Work

• Convexity and weighted integral inequalities for energy decay rates of nonlinear dissipative hyperbolic systems

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