Existence and uniform rates of decay of contant problems in viscoelasticity

DOI10.1080/00036819708840604zbMath0897.73058OpenAlexW1983510974MaRDI QIDQ4385733

Jaime Barbosa Sobrinho, Jaime Edilberto Muñoz Rivera

Publication date: 19 October 1998

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819708840604

zbMATH Keywords

asymptotic behaviorunilateral contact problemweak solutionsinitial-boundary value problemsrelaxation function

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Theories of friction (tribology) (74A55)

Related Items (14)

Analysis of dynamic nonlinear thermoviscoelastic beam problems ⋮ Global existence and blow-up of solutions for a nonlinear wave equation with memory ⋮ Variable-coefficient viscoelastic wave equation with acoustic boundary conditions: global existence, blowup and energy decay rates ⋮ A contact problem of a thermoelastic rod with voids and microtemperatures ⋮ An effect of decay rates: supercritical damping and a viscoelastic term ⋮ General decay rate estimates for viscoelastic dissipative systems ⋮ Stochastic nonlinear wave equation with memory driven by compensated Poisson random measures ⋮ Asymptotic behavior for second order stochastic evolution equations with memory ⋮ A normal compliance contact problem in viscoelasticity: an a posteriori error analysis and computational experiments ⋮ Uniform energy decay rates for nonlinear viscoelastic wave equation with nonlocal boundary damping ⋮ Asymptotic Decay for Some Differential Systems with Fading Memory ⋮ Study of a viscoelastic wave equation with a strong damping and variable exponents ⋮ Unilateral dynamic contact of two viscoelastic beams ⋮ Viscoelastic versus frictional dissipation in a variable coefficients plate system with time-varying delay

Cites Work

• Weak continuity and weak lower semi-continuity of non-linear functionals
• Numerical solutions to one-dimensional problems of thermoelastic contact
• Global solutions to the equation of viscoelasticity with fading memory
• An abstract Volterra equation with applications to linear viscoelasticity
• Asymptotic stability in viscoelasticity
• A one-dimensional quasi-static contact problem in linear thermoelasticity
• Uniqueness and stability of the solution to a thermoelastic contact problem
• A boundary thin obstacle problem for a wave equation
• Existence of A Solution to The N Dimensional Problem of Thermoelastic Contact
• A dynamic contact problem in thermoelasticity

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