An existence and uniqueness theorem in quasi-static viscoelasticity

DOI10.1090/QAM/987890zbMath0684.73001OpenAlexW2503877464MaRDI QIDQ4734815

Mauro Fabrizio

Publication date: 1989

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/987890

zbMATH Keywords

tensorsecond law of thermodynamicsweak solutionswell-posednessrelaxation functiondistinguishing reversible from irreversible processespositive definite sine transform

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Methods involving semicontinuity and convergence; relaxation (49J45) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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