Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects

DOI10.1002/MANA.202100460zbMath1525.35036OpenAlexW4383344986MaRDI QIDQ6049393

Unnamed Author, Celene Buriol, Higidio Portillo Oquendo

Publication date: 17 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202100460

zbMATH Keywords

polynomial decayoptimal decayfractional memory termweakly coupled waves

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Abstract hyperbolic equations (35L90) Integro-partial differential equations (35R09) Initial value problems for second-order hyperbolic systems (35L52) PDEs in connection with control and optimization (35Q93)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General decay of solutions of a nonlinear system of viscoelastic wave equations
• Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
• Asymptotic stability of abstract dissipative systems with infinite memory
• Lack of exponential decay of a coupled system of wave equations with memory
• Indirect internal stabilization of weakly coupled evolution equations
• Asymptotic stability of semigroups associated with linear weak dissipative systems with memory
• Optimal polynomial decay of functions and operator semigroups
• General decay of solutions of a nonlinear system of viscoelastic equations
• Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
• On the exponential stability of linear thermoelasticity
• Study of exponential stability of coupled wave systems via distributed stabilizer
• Best rates of decay for coupled waves with different propagation speeds
• On uniform decay of coupled wave equation of Kirchhoff type subject to memory condition on the boundary
• Coupled second order semilinear evolution equations indirectly damped via memory effects
• Polynomial decay to a class of abstract coupled system with past history.
• A general framework for the study of indirect damping mechanisms in elastic systems
• Exact decay rates for coupled plates with partial fractional damping
• Coupled second order evolution equations with fading memory: optimal energy decay rate
• Stability of Timoshenko systems with past history
• Asymptotic stability in viscoelasticity
• Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory
• Stabilisation de la poutre de Timoshenko
• Asymptotic Decay for Some Differential Systems with Fading Memory
• Intrinsic decay rate estimates for abstract wave equation with memory
• Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface
• Asymptotic behavior for coupled abstract evolution equations with one infinite memory
• Note on intrinsic decay rates for abstract wave equations with memory

This page was built for publication: Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects