Decay rates for a viscoelastic wave equation with Balakrishnan-Taylor and frictional dampings

DOI10.12775/TMNA.2019.047zbMath1437.35071OpenAlexW2963210901MaRDI QIDQ2336093

Yong Han Kang, Baowei Feng

Publication date: 18 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1563760818

zbMATH Keywords

convexitygeneral decayweak frictional dampingmemoryBalakrishnan-Taylor damping

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Asymptotic stability in control theory (93D20) Linear constitutive equations for materials with memory (74D05) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)

Related Items (4)

Existence and general decay of Balakrishnan-Taylor viscoelastic equation with nonlinear frictional damping and logarithmic source term ⋮ Initial boundary value problem for a viscoelastic wave equation with Balakrishnan-Taylor damping and a delay term: decay estimates and blow-up result ⋮ Uniform stability of a strong time-delayed viscoelastic system with Balakrishnan-Taylor damping ⋮ Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects

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