Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities
DOI10.1016/j.jmaa.2018.09.012zbMath1401.37086OpenAlexW2890517764MaRDI QIDQ1798995
Publication date: 18 October 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.012
stabilitywell-posednessglobal attractorcritical exponentexponential attractorKirchhoff wave equation
Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)
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Cites Work
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- Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity
- Upper semicontinuity of pullback attractors for nonautonomous Kirchhoff wave models
- Strongly damped wave equations with critical nonlinearities
- Dynamics of quasi-stable dissipative systems
- Kirchhoff equations with strong damping
- Global attractor for a strongly damped wave equation with fully supercritical nonlinearities
- On decay properties of solutions for degenerate strongly damped wave equations of Kirchhoff type
- Global attractor for the Kirchhoff type equation with a strong dissipation
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Uniform estimates of Gronwall type
- Weakly dissipative semilinear equations of viscoelasticity
- Global solutions for dissipative Kirchhoff strings with non-Lipschitz nonlinear term
- An attractor for a nonlinear dissipative wave equation of Kirchhoff type
- Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
- Compact sets in the space \(L^ p(0,T;B)\)
- Existence and exponential decay for a Kirchhoff-Carrier model with viscosity
- On global solutions and energy decay for the wave equations of Kirchhoff type with nonlinear damping terms
- Infinite-dimensional dynamical systems in mechanics and physics.
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- Global attractor of the Kirchhoff wave models with strong nonlinear damping
- Stability of exponential attractors for a family of semilinear wave equations with gentle dissipation
- Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains
- Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type
- Global attractors for strongly damped wave equations with subcritical-critical nonlinearities
- Attractors for the Kirchhoff equations with strong nonlinear damping
- Longtime behavior of the Kirchhoff type equation with strong damping on \(\mathbb{R}^N\)
- Long-term analysis of strongly damped nonlinear wave equations
- Long-time behavior of second order evolution equations with nonlinear damping
- Von Karman Evolution Equations
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- Time decay of solutions to degenerate Kirchhoff type equation
- Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
- Nonlinear perturbations of the kirchhoff equation
