Global attractor of the Euler-Bernoulli equations with a localized nonlinear damping

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Integro-partial differential equations (35R09) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

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Qualitative results on the dynamics of a Berger plate with nonlinear boundary damping
Asymptotic behavior of the transmission Euler-Bernoulli plate and wave equation with a localized Kelvin-Voigt damping
Finite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundary
A global attractor for the plate equation with displacement-dependent damping
Long-time dynamics of Balakrishnan-Taylor extensible beams
Stabilization of the viscoelastic Euler-Bernoulli type equation with a local nonlinear dissipation
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Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent
Global attractor for damped semilinear elastic beam equations with memory
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Attractors for semilinear wave equations with localized damping and external forces
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Global attractors for the plate equation with a localized damping and a critical exponent in an unbounded domain
Global attractor for an extensible beam equation with localized nonlinear damping and linear memory
Global attractors for nonlinear beam equations
Long-time behavior of second order evolution equations with nonlinear damping
Von Karman Evolution Equations
Exact Semi-Internal Control of an Euler–Bernoulli Equation
A damped hyerbolic equation with critical exponent
Global attractors for semilinear wave equations with locally distributed nonlinear damping and critical exponent
Exponential Decay of Energy of the Euler--Bernoulli Beam with Locally Distributed Kelvin--Voigt Damping
Finite-dimensional attractor for a composite system of wave/plate equations with localized damping
Uniform decay rate estimates for the beam equation with locally distributed nonlinear damping

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