The optimal decay rate for a weak dissipative Bresse system
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Publication:427683
DOI10.1016/J.AML.2011.09.067zbMath1325.74065OpenAlexW1989450631MaRDI QIDQ427683
Luci Harue Fatori, Rodrigo Nunes Monteiro
Publication date: 14 June 2012
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.067
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (46)
General decay of solutions of a Bresse system with viscoelastic boundary conditions ⋮ Asymptotic stability of Bresse system with one infinite memory in the longitudinal displacements ⋮ New stability result for a Bresse system with one infinite memory in the shear angle equation ⋮ General decay of Bresse system by modified thermoelasticity of type III ⋮ Asymptotic behavior of the transmission problem of the Bresse beam in thermoelasticity ⋮ Uniform and weak stability of Bresse system with one infinite memory in the shear angle displacements ⋮ On the stability of Bresse and Timoshenko systems with hyperbolic heat conduction ⋮ Stability results of locally coupled wave equations with local Kelvin-Voigt damping: cases when the supports of damping and coupling coefficients are disjoint ⋮ Uniform stability of a non-autonomous semilinear Bresse system with memory ⋮ Unnamed Item ⋮ New general decay results in a finite-memory Bresse system ⋮ Non-exponential and polynomial stability results of a Bresse system with one infinite memory in the vertical displacement ⋮ Decay rate estimates for a new class of multidimensional nonlinear Bresse systems with time-dependent dissipations ⋮ Exponential stability for a Bresse system with hybrid dissipation ⋮ Global existence and asymptotic behavior for a semilinear Bresse beam model with boundary constraints ⋮ Pointwise stabilization of Bresse systems ⋮ Exponential stability for a thermoelastic Bresse system: Theoretical and numerical study ⋮ Optimal memory-type boundary control of the Bresse system ⋮ The lack of exponential stability of the hybrid Bresse system ⋮ Decay rates for Bresse system with arbitrary nonlinear localized damping ⋮ Unnamed Item ⋮ The effect of the wave speeds and the frictional damping terms on the decay rate of the Bresse system ⋮ Mindlin-Timoshenko systems with Kelvin-Voigt: analyticity and optimal decay rates ⋮ Uniform and weak stability of Bresse system with two infinite memories ⋮ Exponential and polynomial decay in a thermoelastic-Bresse system with second sound ⋮ Asymptotic behavior to Bresse system with past history ⋮ New stability results for a linear thermoelastic Bresse system with second sound ⋮ On the stability of Bresse system with one discontinuous local internal Kelvin-Voigt damping on the axial force ⋮ Exact controllability for Bresse system with variable coefficients ⋮ Unnamed Item ⋮ On the stabilization of the Bresse beam with Kelvin-Voigt damping ⋮ A new optimal and general stability result for a thermoelastic Bresse system with Maxwell-Cattaneo heat conduction ⋮ Unnamed Item ⋮ Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities ⋮ A new stability result for a thermoelastic Bresse system with viscoelastic damping ⋮ On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis ⋮ The influence of the physical coefficients of a Bresse system with one singular local viscous damping in the longitudinal displacement on its stabilization ⋮ Stability and optimality of decay rate for a weakly dissipative Bresse system ⋮ General decay for a nonlinear Bresse system with memory conditions on part of the boundary ⋮ A general decay estimate for a finite memory thermoelastic Bresse system. ⋮ Asymptotic stability of thermoelastic systems of Bresse type ⋮ Spectral analysis and stability of thermoelastic Bresse system with second sound and boundary viscoelastic damping ⋮ Global existence and energy decay of solutions to a viscoelastic Bresse-type system with a nonlinear delay term ⋮ Theoretical and computational decay results for a Bresse system with one infinite memory in the longitudinal displacement ⋮ Bresse system with infinite memories ⋮ Singular Limit and Long-Time Dynamics of Bresse Systems
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