Well‐posedness and regularity for a class of linear thermo‐viscoelastic materials

DOI10.1098/rspa.2003.1120zbMath1041.74034OpenAlexW1987056645MaRDI QIDQ3043371

Andrzej Hanyga

Publication date: 6 August 2004

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2003.1120

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Thermal effects in solid mechanics (74F05) Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Linear constitutive equations for materials with memory (74D05) Dynamical problems in solid mechanics (74H99)

Related Items

Hamiltonian and Lagrangian theory of viscoelasticity ⋮ Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity ⋮ On a mathematical framework for the constitutive equations of anisotropic dielectric relaxation ⋮ Two-fluid porous flow in a single temperature approximation ⋮ Fractional-order relaxation laws in nonlinear viscoelasticity