A general framework for the study of indirect damping mechanisms in elastic systems

From MaRDI portal
Publication:2367591

DOI10.1006/jmaa.1993.1071zbMath0771.73045OpenAlexW2022481994MaRDI QIDQ2367591

David L. Russell

Publication date: 18 August 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1071




Related Items (64)

Dynamic stabilization of systems via decoupling techniquesFrequency domain approach for the polynomial stability of a system of partially damped wave equationsBoundary control of a linear thermoelastic beamAsymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equationsStability of an abstract system of coupled hyperbolic and parabolic equationsStabilization by memory effects: Kirchhoff plate versus Euler-Bernoulli plateIndirect internal observability and exact controllability of coupled systems with locally distributed dampingUnnamed ItemIndirect stabilization of weakly coupled Kirchhoff plate and wave equations with frictional dampingFrictional versus viscoelastic damping in Timoshenko systems with different speeds of wave propagationEventual differentiability of coupled wave equations with local Kelvin-Voigt dampingThe lack of exponential stability for a weakly coupled wave equations through a variable density termLocal indirect stabilization of same coupled evolution systems through resolvent estimatesStability and controllability of a wave equation with dynamical boundary controlExact decay rates for weakly coupled systems with indirect damping by fractional memory effectsStability for a Coupled System of Second-Order Evolution Equations with Indirect Memory-DampingStability analysis for abstract theomoelastic systems with Cattaneo's law and inertial termsOn the sensitivity of the transmission of boundary dissipation for strongly coupled and indirectly damped systems of wave equationsExact decay rates for coupled plates with partial fractional dampingIndirect stability of a multidimensional coupled wave equations with one locally boundary fractional damping*Regularity and stability of coupled plate equations with indirect structural or Kelvin-Voigt dampingThe exponential stabilization of a heat-wave coupled system and its approximationIndirect stabilization of a coupled system by memory effectsStability for an interface transmission problem of wave-plate equations with dynamical boundary controlsStability and Controllability of Operator Differential EquationsUniform polynomial decay and approximation in control of a family of abstract thermoelastic modelsInfluence of the hidden regularity on the stability of partially damped systems of wave equationsCompensation spectrale et taux de décroissance optimal de l'énergie de systèmes partiellement amortis (Spectral compensation and optimal energy decay rate for partially damped systems)Decay estimates for Timoshenko systems with complementary frictional damping and memory effectThe controllability of a thermoelastic plate problem revisitedRational energy decay rate for a wave equation with dynamical controlCoupled second order evolution equations with fading memory: optimal energy decay rateStability and instability results for coupled waves with delay termA renorming method for thermoelastic modelsWeak stability for coupled wave and/or Petrovsky systems with complementary frictional damping and infinite memoryStability results of a singular local interaction elastic/viscoelastic coupled wave equations with time delayIndirect stabilization of hyperbolic systems through resolvent estimatesLong-time behavior of partially damped systems modeling degenerate plates with piersNumerical analysis and simulation for a wave equation with dynamical boundary controlStabilization of weakly coupled wave equations through a density termIndirect boundary stabilization of the Timoshenko systemAsymptotic behavior for coupled abstract evolution equations with one infinite memoryPolynomial stability of a coupled system of wave equations weakly dissipativeRegularity analysis for an abstract system of coupled hyperbolic and parabolic equationsStabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximationsCan the average temperature stabilize a system of thermoelastic plates?Spectrum and stability of a \(1-d\) heat-wave coupled system with dynamical boundary controlNumerical analysis and simulation for Rayleigh beam equation with dynamical boundary controlsAnalyticity of a thermoelastic plate with variable coefficientsA renorming method for thermoelastic modelsA thorough look at the (in)stability of piston-theoretic beamsOptimal decay rates for partially dissipative plates with rotational inertiaThe influence of the coefficients of a system of wave equations coupled by velocities on its stabilizationOptimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocitiesLocal indirect stabilization of N-D system of two coupled wave equations under geometric conditionsStabilized backward in time explicit marching schemes in the numerical computation of ill-posed time-reversed hyperbolic/parabolic systemsUnnamed ItemStabilization of the weakly coupled plate equations with a locally distributed dampingRegularity analysis for an abstract thermoelastic system with inertial termLarge deflections of inextensible cantilevers: modeling, theory, and simulationThermoelasticity with antidissipationA note on the indirect controls for a coupled system of wave equationsIndirect stabilization on Kirchhoff plates by memory effectsStability of transmission wave-plate equations with local indirect damping




This page was built for publication: A general framework for the study of indirect damping mechanisms in elastic systems