Boundary stabilization of vibration of nonlocal micropolar elastic media

DOI10.1016/J.APM.2011.09.091zbMath1252.74025OpenAlexW2034995796MaRDI QIDQ693453

Farhang Daneshmand, Ali Najafi, Mohammad Eghtesad

Publication date: 7 December 2012

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2011.09.091

zbMATH Keywords

well-posednessboundary stabilizationsemigroup approachnonlocal micropolar elasticity

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Classical linear elasticity (74B05) Vibrations in dynamical problems in solid mechanics (74H45) Existence of solutions of dynamical problems in solid mechanics (74H20)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Stabilization of a hybrid system of elasticity by feedback boundary damping
• Well-posedness of dynamic Cosserat plasticity
• Control of turbulent and magnetohydrodynamic channel flows. Boundary stabilization and state estimation.
• Remarks on exact controllability for the Navier-Stokes equations
• Mathematical Control Theory of Coupled PDEs
• Nonlocal Continuum Field Theories
• Controllability and Stabilizability Theory for Linear Partial Differential Equations: Recent Progress and Open Questions
• Microcontinuum Field Theories
• Propagation, Observation, and Control of Waves Approximated by Finite Difference Methods
• Nonlinear problems of elasticity
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