Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory
From MaRDI portal
Publication:499549
DOI10.1016/J.JDE.2015.08.028zbMath1329.35192OpenAlexW1440865946MaRDI QIDQ499549
Aissa Guesmia, Valéria Neves Domingos Cavalcanti, Marcelo Moreira Cavalcanti
Publication date: 30 September 2015
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2015.08.028
Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for higher-order hyperbolic systems (35L56)
Related Items (17)
Dynamical behavior of the indirectly and locally memory-damped Timoshenko system ⋮ Best rates of decay for coupled waves with different propagation speeds ⋮ Exact decay rates for weakly coupled systems with indirect damping by fractional memory effects ⋮ Stability for a Coupled System of Second-Order Evolution Equations with Indirect Memory-Damping ⋮ Global existence, asymptotic behavior and blow-up of solutions for a suspension bridge equation with nonlinear damping and source terms ⋮ Indirect stabilization of coupled abstract evolution equations with memory: Different propagation speeds ⋮ Indirect stabilization of a coupled system by memory effects ⋮ Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects ⋮ Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings ⋮ Polynomial decay of solutions to the Cauchy problem for a Petrovsky-Petrovsky system in \(\mathbb{R}^{n}\) ⋮ General stability result of abstract thermoelastic system with infinite memory ⋮ Optimal decay rates for semilinear wave equations with memory and Neumann boundary conditions ⋮ \(L^p\)-maximal regularity for a class of degenerate integro-differential equations with infinite delay in Banach spaces ⋮ Existence and uniqueness of solutions of the fractional integro-differential equations in vector-valued function space ⋮ Unnamed Item ⋮ Indirect stabilization on Kirchhoff plates by memory effects ⋮ Stability for locally coupled wave-type systems with indirect mixed-type dampings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new approach to the stability of an abstract system in the presence of infinite history
- A general decay result for a viscoelastic equation in the presence of past and finite history memories
- Asymptotic stability of abstract dissipative systems with infinite memory
- Uniform stabilization and exact controllability for a class of coupled hyperbolic systems
- Indirect internal stabilization of weakly coupled evolution equations
- A new approach to equations with memory
- Asymptotic stability of semigroups associated with linear weak dissipative systems with memory
- Some results on indirect stabilization of nondissipative coupled systems
- Optimal energy decay rate for a class of weakly dissipative second-order systems with memory
- Semigroups of linear operators and applications to partial differential equations
- On the existence and the asymptotic stability of solutions for linearly viscoelastic solids
- Degenerate self-adjoint evolution equations on the unit interval
- On a variational degenerate elliptic problem
- Exponential decay of energy of vibrating strings with local viscoelasticity
- A general framework for the study of indirect damping mechanisms in elastic systems
- Asymptotic stability in viscoelasticity
- Carleman Estimates for a Class of Degenerate Parabolic Operators
- General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- On the exponential stability of linear viscoelasticity and thermoviscoelasticity
- Asymptotic behavior for coupled abstract evolution equations with one infinite memory
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
This page was built for publication: Weak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memory