Uniform stability of a non-autonomous semilinear Bresse system with memory

DOI10.1016/J.AMC.2019.04.074zbMath1467.74029OpenAlexW2946513677WikidataQ127844317 ScholiaQ127844317MaRDI QIDQ2660069

J. S. Prates Filho, Sheyla S. Marinho, Rawlilson O. Araújo

Publication date: 29 March 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.04.074

zbMATH Keywords

exponential energy decayuniform stabilityglobal existenceviscoelasticityinfinite memory

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Exponential stability for a Bresse system with hybrid dissipation ⋮ Thermoelastic Bresse system with dual-phase-lag model ⋮ Unnamed Item ⋮ Indirect stabilization on Kirchhoff plates by memory effects

Cites Work

• The optimal decay rate for a weak dissipative Bresse system
• The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system
• Stability to weak dissipative Bresse system
• Bresse system with indefinite damping
• Energy decay rate of the thermoelastic Bresse system
• Modeling, analysis and control of dynamic elastic multi-link structures
• Longtime behavior of a viscoelastic Timoshenko beam.
• Non-homogeneous thermoelastic Timoshenko systems
• Pullback dynamics of non-autonomous Timoshenko systems
• Asymptotic stability of thermoelastic systems of Bresse type
• Asymptotic stability in viscoelasticity
• Stability to weakly dissipative Timoshenko systems
• Rates of decay to weak thermoelastic Bresse system
• Stabilisation de la poutre de Timoshenko
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Asymptotic behavior to Bresse system with past history
• Stability and optimality of decay rate for a weakly dissipative Bresse system
• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• Bresse system with infinite memories
• Singular Limit and Long-Time Dynamics of Bresse Systems
• A general stability result in a Timoshenko system with infinite memory: A new approach
• Global attractors for a semilinear hyperbolic equation in viscoelasticity

This page was built for publication: Uniform stability of a non-autonomous semilinear Bresse system with memory