Analyticity and differentiability of semigroups associated with elastic systems with damping and gyroscopic forces

DOI10.1006/jdeq.1997.3331zbMath0891.35156OpenAlexW1964813471MaRDI QIDQ1377527

Kangsheng Liu, Zhuangyi Liu

Publication date: 1 July 1998

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1997.3331

zbMATH Keywords

variational formulationwell-posedness

Mathematics Subject Classification ID

Related Items (28)

Gevrey class for locally thermoelastic beam equations ⋮ Monotone iterative technique for the elastic systems with structural damping in Banach spaces ⋮ On the spectrum of Euler-Bernoulli beam equation with Kelvin-Voigt damping ⋮ Optimal semigroup regularity for velocity coupled elastic systems: a degenerate fractional damping case ⋮ Mixed monotone iterative technique for damped elastic systems in Banach spaces ⋮ Existence of solutions for damped elastic systems in Banach spaces ⋮ A study on decay mild solutions for damped elastic systems in Banach spaces ⋮ A study on the approximate controllability of damped elastic systems using sequence method ⋮ Wellposedness of second order evolution equations ⋮ A study on decay mild solutions of damped elastic systems with nonlocal conditions in Banach spaces ⋮ A study on \(S\)-asymptotically \(\omega\)-periodic positive mild solutions for damped elastic systems ⋮ Lower and upper solutions for damped elastic systems with delay in ordered Banach space ⋮ Existence of mild solutions for the elastic systems with structural damping in Banach spaces ⋮ Stability for Euler-Bernoulli beam equation with a local degenerated Kelvin-Voigt damping ⋮ Asymptotic to systems with memory and non-local initial data ⋮ Coercive forms associated with elastic systems with damping ⋮ A note on the polynomial stability of a weakly damped elastic abstract system ⋮ On coupled transversal and axial motions of two beams with a joint ⋮ The analyticity and exponential decay of a Stokes-wave coupling system with viscoelastic damping in the variational framework ⋮ Convergence estimates of the dynamics of a hyperbolic system with variable coefficients ⋮ Analyticity and exponential stability of semigroups for the elastic systems with structural damping in Banach spaces ⋮ Local and global smoothing effects for some linear hyperbolic equations with a strong dissipation ⋮ Second order linear evolution equations with general dissipation ⋮ A Study on Damped Elastic Systems in Banach Spaces ⋮ Regularity and stability for a plate model involving fractional rotational forces and damping ⋮ THE METHOD OF LOWER AND UPPER SOLUTIONS FOR DAMPED ELASTIC SYSTEMS IN BANACH SPACES ⋮ Positive mild solutions for damped elastic systems with delay and nonlocal conditions in ordered Banach space ⋮ Monotone iterative technique for nonlocal problems of damped elastic systems with delay

Cites Work

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• Well posedness for damped second order systems with unbounded input operators
• A mathematical model for linear elastic systems with structural damping
• On the Mathematical Model for Linear Elastic Systems with Analytic Damping
• Spectrum and Stability for Elastic Systems with Global or Local Kelvin--Voigt Damping
• A comparison of certain elastic dissipation mechanisms via decoupling and projection techniques
• Equivalent Norms for Sobolev Spaces
• Gevrey Class Semigroups Arising from Elastic Systems with Gentle Dissipation: The Case 0 < α < ½

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