Boundary stabilization of elastodynamic systems. I: Rellich-type relations for a problem in elasticity involving singularities

DOI10.1007/s10440-008-9352-xzbMath1205.35305OpenAlexW4300339880MaRDI QIDQ973788

Romain Brossard, Jean-Pierre Lohéac

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9352-x

zbMATH Keywords

singularitiesmixed boundary value problemslinear elastostaticsLamé's equations

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (2)

Boundary stabilisation of the wave equation in the presence of singularities ⋮ Singularities of elliptic mixed boundary problems. Application to boundary stabilization of hyperbolic systems

Cites Work

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• Boundary stabilization of elastodynamic systems. II: The case of a linear feedback
• Singularités en élasticité. (Singularities in elasticity)
• A direct method for the boundary stabilization of the wave equation
• Boundary stabilization of the elastodynamic system in a plane polygonal domain
• Singularities of the solution of a mixed problem for a general second order elliptic equation and boundary stabilization of the wave equation.
• Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)
• Regularization of mixed second-order elliptic problems

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