Asymptotic stability of energy for a weak viscoelastic plate equation with complementary frictional damping
DOI10.1007/s00245-020-09738-4zbMath1475.35046OpenAlexW3119868133MaRDI QIDQ2234316
Kun-Peng Jin, Jin Liang, Ti-Jun Xiao
Publication date: 19 October 2021
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00245-020-09738-4
Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Linear constitutive equations for materials with memory (74D05) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71) PDEs in connection with control and optimization (35Q93)
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Cites Work
- On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates
- On the decay rates for thermoviscoelastic systems of type III
- General decay of solutions of a weak viscoelastic equation
- Intrinsic decay rate estimates for the wave equation with competing viscoelastic and frictional dissipative effects
- General and optimal decay for a quasilinear viscoelastic equation
- Intrinsic decay rates for the energy of a nonlinear viscoelastic equation modeling the vibrations of thin rods with variable density
- Stability for semilinear hyperbolic coupled system with frictional and viscoelastic localized damping
- General decay rates for the wave equation with mixed-type damping mechanisms on unbounded domain with finite measure
- Uniform boundary stabilization of semilinear wave equations with nonlinear boundary damping
- Decay rates for viscoelastic plates with memory
- Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
- Exponential stability for the wave model with localized memory in a past history framework
- Uniform stability of semilinear wave equations with arbitrary local memory effects versus frictional dampings
- Coupled second order semilinear evolution equations indirectly damped via memory effects
- Exponential stability for a transmission problem of a viscoelastic wave equation
- New general decay results for a von Karman plate equation with memory-type boundary conditions
- Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics
- General decay result for nonlinear viscoelastic equations
- General decay of solutions for a weak viscoelastic equation with acoustic boundary conditions
- Coupled second order evolution equations with fading memory: optimal energy decay rate
- Asymptotic behavior for coupled systems of second order abstract evolution equations with one infinite memory
- General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Intrinsic Decay Rate Estimates for Semilinear Abstract Second Order Equations with Memory
- A New Method to Obtain Uniform Decay Rates for Multidimensional Wave Equations with Nonlinear Acoustic Boundary Conditions
- Plate equations with frictional and viscoelastic dampings
- Note on intrinsic decay rates for abstract wave equations with memory
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