Longtime dynamics of a semilinear Lamé system

DOI10.1007/s10884-021-09955-7zbMath1529.35083arXiv2003.03646OpenAlexW3127711555WikidataQ115383279 ScholiaQ115383279MaRDI QIDQ6103321

T. F. Ma, Marcio Antonio Jorge da Silva, Paulo Nicanor Seminario-Huertas, Lito Edinson Bocanegra-Rodríguez

Publication date: 2 June 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03646

zbMATH Keywords

global attractorgradient systemupper-semicontinuitysystem of elasticity

Mathematics Subject Classification ID

Attractors (35B41) Classical linear elasticity (74B05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (8)

Pullback dynamics of Lamé systems with time-dependent weak damping ⋮ Lamé system with weak damping and nonlinear time-varying delay ⋮ Dynamics of a critical semilinear Lamé system with memory ⋮ A non‐homogeneous weakly damped Lamé system with time‐dependent delay ⋮ Stability and dynamics for Lamé system with degenerate memory and time-varying delay ⋮ Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory ⋮ Continuity of global attractors for a suspension bridge equation ⋮ Smooth Dynamics of Weakly Damped Lamé Systems with Delay

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of quasi-stable dissipative systems
• Attractors for wave equations with degenerate memory
• Compact sets in the space \(L^ p(0,T;B)\)
• Upper semicontinuity of the attractor for a singularly perturbed hyperbolic equation
• Treatise on classical elasticity. Theory and related problems
• Stabilization of the total energy for a system of elasticity with localized dissipation
• Asymptotic stability for the Lamé system with fractional boundary damping
• Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity
• Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain
• Boundary Stabilization of Linear Elastodynamic Systems
• Von Karman Evolution Equations
• A damped hyerbolic equation with critical exponent
• Boundary Observability, Controllability, and Stabilization of Linear Elastodynamic Systems
• The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation
• Strong stabilization of the system of linear elasticity by a Dirichlet boundary feedback
• Exponential energy decay of solutions of elastic wave equations with the Dirichlet condition.
• Singular Limit and Long-Time Dynamics of Bresse Systems

This page was built for publication: Longtime dynamics of a semilinear Lamé system