Equipartition of energy in linearized 3-D viscoelasticity

DOI10.1090/qam/1079915zbMath0723.73048OpenAlexW2480367483MaRDI QIDQ3210981

Filareti Zafiropoulos, George Dassios

Publication date: 1990

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1079915

zbMATH Keywords

longitudinalexponential decay in timeequipartitiontransverse wavekinetic and strain energiesGeneral expressions for the energies

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (30)

Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity ⋮ Decay rates for viscoelastic plates with memory ⋮ On the stabilization of a non-dissipative Cauchy viscoelastic problem ⋮ Decay rates of solutions of an anisotropic inhomogeneous \(n\)-dimensional viscoelastic equation with polynomially decaying kernels ⋮ On the uniform decay in Cauchy viscoelastic problems ⋮ A new approach to the stability of an abstract system in the presence of infinite history ⋮ On the General Decay for a System of Viscoelastic Wave Equations ⋮ A general decay result for a viscoelastic equation in the presence of past and finite history memories ⋮ Energy decay for Timoshenko systems of memory type. ⋮ General decay estimates for a Cauchy viscoelastic wave problem ⋮ Asymptotic to systems with memory and non-local initial data ⋮ Decay rate of solutions for a Cauchy viscoelastic evolution equation ⋮ General decay of solutions of a weak viscoelastic equation ⋮ Decay rates of Volterra equations on \(\mathbb R^N\) ⋮ A general decay result of a viscoelastic equation with past history and boundary feedback ⋮ Asymptotic self-similarity for solutions of partial integro-differential equations ⋮ General decay of solutions of a viscoelastic equation ⋮ Global existence for elastic waves with memory ⋮ Global attractors for a semilinear hyperbolic equation in viscoelasticity ⋮ Global existence and energy decay of a nondissipative Cauchy viscoelastic problem ⋮ Well-posedness and asymptotic behaviour of a wave equation with non-monotone memory kernel ⋮ On the stabilization of a Cauchy viscoelastic problem with singular kernel and nonlinear source term ⋮ On the uniform decay in viscoelastic problems in \(\mathbb R^n\) ⋮ Unnamed Item ⋮ Energy decay estimates of solutions for viscoelastic damped wave equations in \(\mathbb{R}^N\) ⋮ General and optimal decay result for a viscoelastic problem with nonlinear boundary feedback ⋮ A decay result to a viscoelastic problem in Rn with an oscillating kernel ⋮ On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history ⋮ NEW GENERAL DECAY RATES OF SOLUTIONS FOR TWO VISCOELASTIC WAVE EQUATIONS WITH INFINITE MEMORY ⋮ Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement

This page was built for publication: Equipartition of energy in linearized 3-D viscoelasticity