Spatial and continuous dependence estimates in linear viscoelasticity.

DOI10.1016/S0022-247X(02)00200-7zbMath1121.74332MaRDI QIDQ1856813

Ramón Quintanilla, Jesús Ildefonso Díaz

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (15)

Phragmen–Lindelof alternative in nonlinear viscoelasticity ⋮ Some remarks on the fast spatial growth/decay in exterior regions ⋮ On the spatial behavior in two-temperature generalized thermoelastic theories ⋮ Structural stability for a coupled system of wave plate type ⋮ On the backward in time problem for the thermoelasticity with two temperatures ⋮ Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space ⋮ Unnamed Item ⋮ Spatial behavior of a coupled system of wave-plate type ⋮ Some alternative results for the nonlinear viscoelasticity equations ⋮ Some qualitative properties of solutions of the system governing acoustic waves in bubbly liquids ⋮ Damping of end effects in a thermoelastic theory ⋮ Nagumo viability theorem. revisited ⋮ A Phragmen-Lindelof type theorem for quasilinear viscoelasticity equations ⋮ Quasistatic anti-plane motion in the simplest theory of nonlinear viscoelasticity ⋮ Mathematical results concerning a class of incompressible viscoelastic solids of differential type

Cites Work

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• Global regular solutions for the dynamic antiplane shear problem in nonlinear viscoelasticity
• Weighted energy methods in fluid dynamics and elasticity
• Spatial decay estimates in transient heat conduction
• Some remarks on Saint-Venant's principle
• Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
• The Influence of Domain and Diffusivity Perturbations on the Decay of End Effects in Heat Conduction
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
• A Correspondence Principle for Free Vibrations of a Viscoelastic Solid
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics

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