Vanishing viscosity for hemivariational inequalities modeling dynamic problems in elasticity

DOI10.1016/J.NA.2006.02.028zbMath1125.34042OpenAlexW1984799176MaRDI QIDQ875290

Anna Ochal, Stanislaw Migórski

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.028

zbMATH Keywords

hemivariational inequalityevolution

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Second-order nonlinear hyperbolic equations (35L70) Evolution inclusions (34G25) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (4)

Decay of energy for second-order boundary hemivariational inequalities with coercive damping ⋮ Nonlinear second order evolution inclusions with noncoercive viscosity term ⋮ Regularity of parabolic hemivariational inequalities with boundary conditions ⋮ Boundary stabilization of hyperbolic hemivariational inequalities

Cites Work

• Existence of solutions for wave-type hemivariational inequalities with noncoercive viscosity damping
• Boundary hemivariational inequalities of hyperbolic type and applications
• On the convergence of solutions of multivalued parabolic equations and applications
• Properties of the set of extreme solutions for a class of nonlinear second-order evolution inclusions
• Existence results for evolution hemivariational inequalities of second order
• A system of evolution hemivariational inequalities modeling thermoviscoelastic frictional contact
• Hemivariational inequality for viscoelastic contact problem with slip-dependent friction
• Finite element method for hemivariational inequalities. Theory, methods and applications
• Dynamic hemivariational inequalities and their applications
• The Nonmonotone Skin Effects in Plane Elasticity Problems Obeying to Linear Elastic and Subdifferential Material Laws
• On a Type of Hyperbolic Variational–Hemivariational Inequalities
• Dynamic hemivariational inequality modeling viscoelastic contact problem with normal damped response and friction
• The initial boundary value problem of a mixed-typed hemivariational inequality
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