Kernel sections for viscoelasticity and thermoviscoelasticity.

DOI10.1016/S0362-546X(03)00238-4zbMath1122.35379MaRDI QIDQ1413241

Shengfan Zhou

Publication date: 16 November 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

Hausdorff dimensionViscoelasticityThermoviscoelasticityKernel sectionProcess

Mathematics Subject Classification ID

Attractors (35B41) Thermal effects in solid mechanics (74F05) Partial functional-differential equations (35R10) First-order nonlinear hyperbolic equations (35L60) Nonlinear constitutive equations for materials with memory (74D10)

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Asymptotic stability in linear thermoviscoelasticity
• Asymptotic stability in viscoelasticity
• On the dimension of the global attractor for a damped semilinear wave equation with critical exponent
• Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
• On the exponential stability of linear viscoelasticity and thermoviscoelasticity

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