Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms

DOI10.1063/1.3625553zbMath1272.74391OpenAlexW2092224643MaRDI QIDQ2849769

Yuhu Wu, Xiao-Ping Xue

Publication date: 24 September 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3625553

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear systems in control theory (93C10) Stability for nonlinear problems in mechanics (70K20) Forced motions for nonlinear problems in mechanics (70K40) Vibrations in dynamical problems in solid mechanics (74H45) Dynamical systems in control (37N35) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (6)

On the Riesz basis property of root vectors system for \(2\times 2\) Dirac type operators ⋮ Decay rate estimates for a class of quasilinear hyperbolic equations with damping terms involving p-Laplacian ⋮ Homogenization for the \(p\)-Laplace operator and nonlinear Robin boundary conditions in perforated media along \((n - 1)\)-dimensional manifolds ⋮ Unilateral problems for thep-Laplace operator in perforated media involving large parameters ⋮ Uniform decay rates for the energy of Timoshenko system with the arbitrary speeds of propagation and localized nonlinear damping ⋮ Boundary feedback stabilization of Kirchhoff-type Timoshenko system

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