On the stability of solutions to the system of classical elastodynamics

DOI10.1007/BF00955523zbMath0588.73089OpenAlexW2046274483MaRDI QIDQ1073617

Remigio Russo

Publication date: 1986

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00955523

zbMATH Keywords

elastodynamicsLyapunov stabilityunbounded domainhomogeneousisotropicelasticity tensor is strongly ellipticinformation about stability measured by magnitude of displacementlinearly elastic

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55)

Related Items

Stability and related results in linear elastodynamics on unbounded regions

Cites Work

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• On uniqueness questions in the theory of viscous flow
• The elastic instability of a director rod
• On some classical theorems in micropolar elasticity
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• Asymptotic formulas with remainder estimates for eigenvalues of elliptic operators
• Initial-boundary value problems for linear hyperbolic partial differential equations of the second order
• Some theorems in classical elastodynamics
• A uniqueness theorem for a linear hyperbolic partial differential system of the second order
• The domain of dependence inequality for symmetric hyperbolic systems