Forced vibrations in one-dimensional nonlinear viscoelasticity

DOI10.1216/jiea/1181075620zbMath0741.73027OpenAlexW2008790219WikidataQ59316873 ScholiaQ59316873MaRDI QIDQ1176424

Eduard Feireisl

Publication date: 25 June 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075620

zbMATH Keywords

barcompensated compactnessinvariant regionsstringparabolic systemviscosity regularizationexistence of time- periodic weak solutionsmotion of one-dimensional bodySchauder fixed point techniquesequence of approximate viscosity time-periodic solutionsundistorted reference configuration

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Periodic solutions to PDEs (35B10) Forced motions for nonlinear problems in mechanics (70K40) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear constitutive equations for materials with memory (74D10) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (2)

Existence of periodic weak solutions to viscoelastic dynamic equation with memory ⋮ Existence of periodic weak solutions to the three-dimensional nonlinear viscoelastic system

Cites Work

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