Long-time behavior of solutions for quasilinear hyperbolic hemivariational inequalities with application to piezoelectricity problem

DOI10.1016/J.AML.2012.01.016zbMath1250.49015OpenAlexW2060624373MaRDI QIDQ452990

Michael Z. Zgurovsky, Pavlo O. Kasyanov, Nina V. Zadoianchuk (Zadoyanchuk)

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.01.016

zbMATH Keywords

hemivariational inequalityattractorPZT-4piezoelectricityinclusion

Mathematics Subject Classification ID

Variational inequalities (49J40) Applications of optimal control and differential games (49N90) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86)

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Cites Work

• Unnamed Item
• Unnamed Item
• Noncoercive damping in dynamic hemivariational inequality with application to problem of piezoelectricity
• Evolution inclusions and variation inequalities for Earth data Processing. I. Operator inclusions and variation inequalities for earth data processing.
• Evolution inclusions and variation inequalities for earth data processing. II. Differential-operator inclusions and evolution variation inequalities for earth data processing.
• Infinite-dimensional dynamical systems in mechanics and physics
• On attractors of multivalued semi-flows and differential inclusions
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• Global attractors for damped semilinear wave equations.
• Trajectory and global attractors of the three-dimensional Navier-Stokes system.
• Coupled behaviour of interacting dielectric cracks in piezoelectric materials
• COMPARISON BETWEEN TRAJECTORY AND GLOBAL ATTRACTORS FOR EVOLUTION SYSTEMS WITHOUT UNIQUENESS OF SOLUTIONS
• The Nonmonotone Skin Effects in Plane Elasticity Problems Obeying to Linear Elastic and Subdifferential Material Laws

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