Global attractor for an extensible beam equation with localized nonlinear damping and linear memory
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Publication:3087912
DOI10.1002/mma.1450zbMath1227.35079OpenAlexW2082093764MaRDI QIDQ3087912
Publication date: 17 August 2011
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1450
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)
Related Items (10)
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping ⋮ Global attractors for Kirchhoff wave equation with nonlinear damping and memory ⋮ Strong attractors and their robustness for an extensible beam model with energy damping ⋮ Integrodifferential equations with applications to a plate equation with memory ⋮ Stability of strong attractors for the extensible beam equation with gentle dissipation ⋮ Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity ⋮ The well-posedness and attractor on an extensible beam equation with nonlocal weak damping ⋮ Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping ⋮ Attractors and their properties for a class of nonlocal extensible beams ⋮ Variational analysis of semilinear plate equation with free boundary conditions
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