Sharp time decay rates on a hyperbolic plate model under effects of an intermediate damping with a time-dependent coefficient
DOI10.3934/dcds.2016.36.2419zbMath1336.35075OpenAlexW2526275023MaRDI QIDQ256208
Cleverson Roberto da Luz, Marcello D'Abbicco, Ruy Coimbra Charão
Publication date: 9 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2016.36.2419
fractional Laplaciandiagonalization procedurefractional damping termoptimal time decay ratestime-dependent damping coefficient
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Fractional partial differential equations (35R11)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A damping term for higher-order hyperbolic equations
- Existence of random attractors for the floating beam equation with strong damping and white noise
- Semi-linear wave equations with effective damping
- Asymptotic behavior of solutions to the damped nonlinear hyperbolic equation
- Fourier analysis. Pseudo-differential operators, time-frequency analysis and partial differential equation. Based on the presentations at the international conference, Aalto University, near Helsinki, Finland, June 25--29, 2012
- Asymptotic behavior for abstract evolution differential equations of second order
- Energy decay rates of elastic waves in unbounded domain with potential type of damping
- Structurally damped plate and wave equations with random point force in arbitrary space dimensions.
- Wave equations with time-dependent dissipation. II: Effective dissipation
- Total energy decay for semilinear wave equations with a critical potential type of damping
- A justification of the von Kármán equations
- Energy decay rates and the dynamical von Karman equations
- Timoshenko's plate equation as a singular limit of the dynamical von Kármán system
- Critical exponent for the semilinear wave equation with time-dependent damping
- Global existence for the full von Kármán system
- Optimal decay rate of the energy for wave equations with critical potential
- Sharp decay rates for wave equations with a fractional damping via new method in the Fourier space
- Qualitative properties of solutions to structurally damped \(\sigma\)-evolution models with time increasing coefficient in the dissipation
- A structurally damped plate equation with Dirichlet-Neumann boundary conditions
- Asymptotic profiles for a strongly damped plate equation with lower order perturbation
- High-order energy decay for structural damped systems in the electromagnetical field
- Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity
- Diffusion phenomena for the wave equation with structural damping in the \(L^p-L^q\) framework
- NEW DECAY RATES FOR A PROBLEM OF PLATE DYNAMICS WITH FRACTIONAL DAMPING
- DECAY ESTIMATES OF SOLUTIONS TO A SEMI-LINEAR DISSIPATIVE PLATE EQUATION
- Qualitative Properties of Solutions to Structurally Damped 𝜎-Evolution Models with Time Decreasing Coefficient in the Dissipation
- Exponential stability for a plate equation with p-Laplacian and memory terms
- ASYMPTOTIC PROPERTIES FOR A SEMILINEAR PLATE EQUATION IN UNBOUNDED DOMAINS
- Long-time behavior of second order evolution equations with nonlinear damping
- Uniform Stabilizability of a Full Von Karman System with Nonlinear Boundary Feedback
- A new method to obtain decay rate estimates for dissipative systems
- Exponential decay rates for a full von Karman thermoelastic system with nonlinear thermal coupling
- Selfsimilar profiles in large time asymptotics of solutions to damped wave equations
- On diffusion phenomena for the linear wave equation with space-dependent damping
- The threshold of effective damping for semilinear wave equations
- A classification of structural dissipations for evolution operators
This page was built for publication: Sharp time decay rates on a hyperbolic plate model under effects of an intermediate damping with a time-dependent coefficient