Global existence of weak solutions to the boundary value problem for a three-dimensional viscoelastic dynamic system

DOI10.1007/BF00040955zbMath0853.73027OpenAlexW2027888532MaRDI QIDQ1918351

Tiehu Qin

Publication date: 31 July 1996

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00040955

zbMATH Keywords

phase transitionsequilibrium elastic tensorviscoelastic materials of single-integral type

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Dynamical problems in solid mechanics (74Hxx)

Related Items (2)

Time-periodic solutions to a system of nonlinear integrodifferential equations ⋮ Existence and uniqueness of the solution to the viscoelastic equations for Koiter shells

Cites Work

• Weak solutions of a class of quasilinear hyperbolic integro-differential equations describing viscoelastic materials
• Fine phase mixtures as minimizers of energy
• Geometric theory of semilinear parabolic equations
• Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
• Equilibrium of bars
• Weak solutions for a nonlinear system in viscoelasticity
• Energy methods for nonlinear hyperbolic volterra integrodifferential equations
• Existence of Global Weak Solutions to the Dynamical Problem for a Three-Dimensional Elastic Body with Singular Memory
• A model for one-dimensional, nonlinear viscoelasticity
• On the thermodynamics of viscoelastic materials of single-integral type

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