A nonlinear thermoelastic Bresse system: global existence and exponential stability

DOI10.1016/j.jmaa.2016.05.037zbMath1350.35028OpenAlexW2401628104MaRDI QIDQ302058

Pedro Roberto de Lima, Luci Harue Fatori, Hugo D. Fernández Sare

Publication date: 4 July 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.05.037

zbMATH Keywords

nonlocal thermoelasticity

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) Initial value problems for nonlinear higher-order PDEs (35G25) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (6)

On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction ⋮ Arched beams of Bresse type: New thermal couplings and pattern of stability ⋮ Arched beams of Bresse type: observability and application in thermoelasticity ⋮ Stability of thermoelastic Bresse systems ⋮ Thermoelastic Bresse system with dual-phase-lag model ⋮ A new optimal and general stability result for a thermoelastic Bresse system with Maxwell-Cattaneo heat conduction

Cites Work

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• Exponential stability and global attractors for a thermoelastic Bresse system
• Energy decay rate of the thermoelastic Bresse system
• Functional analysis, Sobolev spaces and partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
• Modeling, analysis and control of dynamic elastic multi-link structures
• Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
• Analysis of a nonlinear model of the vibrating string
• Asymptotic stability for Bresse systems
• Asymptotic stability of thermoelastic systems of Bresse type
• Decay rates for Bresse system with arbitrary nonlinear localized damping
• Global existence of solutions for the thermoelastic Bresse System
• The Bresse system in thermoelasticity
• The asymptotic behavior of the Bresse–Cattaneo system
• Rates of decay to weak thermoelastic Bresse system
• Modelling of dynamic networks of thin thermoelastic beams
• A new method to obtain decay rate estimates for dissipative systems
• Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping

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