On the asymptotic behavior of a linear viscoelastic fluid

DOI10.1002/mma.1602zbMath1237.35018OpenAlexW2079142591MaRDI QIDQ2882711

Barbara Lazzari, Mauro Fabrizio, Roberta Nibbi

Publication date: 7 May 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1602

zbMATH Keywords

viscoelastic fluidsasymptotic behavior of solutionslong-time behavior of solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscoelastic fluids (76A10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40)

Related Items (2)

On the asymptotic stability for Kirchhoff plates with viscoelastic dissipation ⋮ Asymptotic stability in linear viscoelasticity with supplies

Cites Work

• On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid
• General decay to a von Kármán system with memory
• Decay rate estimates for wave equations of memory type with acoustic boundary conditions
• Fluid dynamics of viscoelastic liquids
• On asymptotic stability for linear viscoelastic fluids
• General decay of solutions of a viscoelastic equation
• The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs
• Free energies and asymptotic behaviour for incompressible viscoelastic fluids
• The minimum free energy for incompressible viscoelastic fluids
• General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
• Maximum and minimum free energies for a linear viscoelastic material
• General decay of energy for a viscoelastic equation with nonlinear damping

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