Some alternative results for the nonlinear viscoelasticity equations

DOI10.1080/00036811003649082zbMath1230.35031OpenAlexW2013982509WikidataQ58171202 ScholiaQ58171202MaRDI QIDQ3562354

Changhao Lin, Yan Liu, Wenhui Liao

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00036811003649082

zbMATH Keywords

Saint-Venant's principleweighted energy methodspatial decayPhragmén-Lindelöf alternativespatial blow-upviscoelasticity equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Nonlinear constitutive equations for materials with memory (74D10) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (2)

Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space ⋮ Unnamed Item

Cites Work

• A Saint-Venant principle for nonlinear elasticity
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• Spatial and continuous dependence estimates in linear viscoelasticity.
• On the spatial blow-up and decay for some nonlinear parabolic equations with nonlinear boundary conditions
• On the spatial decay of solutions of the heat equation
• Improved spatial decay bounds in generalized heat conduction
• Decay Estimates for a Class of Nonlinear Boundary Value Problems in Two Dimensions
• Phragmen–Lindelof alternative in nonlinear viscoelasticity
• Continuous dependence on modelling and non-existence results for a Ginzburg-Landau equation
• Spatial Decay Bounds in Time Dependent Pipe Flow of an Incompressible Viscous Fluid
• A Spatial Decay Estimate for the Hyperbolic Heat Equation
• SPATIAL DECAY BOUNDS IN THE CHANNEL FLOW OF AN INCOMPRESSIBLE VISCOUS FLUID

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