Corrections to Forced vibrations in one-dimensional nonlinear viscoelasticity

DOI10.1216/jiea/1181075620zbMath0764.73046OpenAlexW2008790219WikidataQ59316873 ScholiaQ59316873MaRDI QIDQ1182523

Eduard Feireisl

Publication date: 28 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

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Periodic solutions to PDEs (35B10) Vibrations in dynamical problems in solid mechanics (74H45) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• A nonlinear functional differential equation in Banach space with applications to materials with fading memory
• Convergence of approximate solutions to conservation laws
• Development of singularities in the motion of materials with fading memory
• La compacité par compensation pour les systèmes hyperboliques nonlinéaires de deux équations à une dimension d'espace. (Compensated compactness for 2\(\times 2\) hyperbolic systems of conservation laws)
• Geometric theory of semilinear parabolic equations
• Frequency domain methods for Volterra equations
• Invariant sets and existence theorems for semilinear parabolic and elliptic systems
• Weak solutions for a nonlinear system in viscoelasticity
• On a Nonlinear Hyperbolic Volterra Equation
• A model for one-dimensional, nonlinear viscoelasticity
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