Existence, uniqueness and uniform decay for the nonlinear beam degenerate equation with weak damping

DOI10.1016/S0096-3003(03)00735-5zbMath1063.74067OpenAlexW2003686325MaRDI QIDQ1883210

Yanyan Li

Publication date: 1 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00735-5

zbMATH Keywords

energy methodfirst eigenvalueFaedo-Galerkin's methoduniform energy decay

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (10)

A Galerkin–Newton Algorithm for Solution of a Kirchhoff-Type Static Equation ⋮ General decay for the degenerate equation with a memory condition at the boundary ⋮ Exponential decay to the degenerate nonlinear coupled beams system with weak damping ⋮ Existence, uniqueness and uniform decay for the nonlinear degenerate equation with memory condition at the boundary ⋮ Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping ⋮ A numerical algorithm for a Kirchhoff-type nonlinear static beam ⋮ Decay rate estimates for the quasi-linear Timoshenko system with nonlinear control and damping terms ⋮ General decay result for thermoelastic beam equation system with time-varying delay ⋮ General decay for a nonlinear beam equation with weak dissipation ⋮ Decay rate estimates for a weak viscoelastic beam equation with time-varying delay

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