Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension
From MaRDI portal
Publication:2287271
DOI10.1016/j.jmaa.2019.123670zbMath1432.35029OpenAlexW2984696684WikidataQ126798977 ScholiaQ126798977MaRDI QIDQ2287271
Honglv Ma, Jin Zhang, Cheng-Kui Zhong
Publication date: 20 January 2020
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.2019.123670
Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Related Items (8)
The family of random attractors for nonautonomous stochastic higher-order Kirchhoff equations with variable coefficients ⋮ Strong attractors for the structurally damped Kirchhoff wave models with subcritical-critical nonlinearities ⋮ Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮ Strong attractors and their stability for the structurally damped Kirchhoff wave equation with supercritical nonlinearity ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮ Uniform attractors and their continuity for the non-autonomous Kirchhoff wave models ⋮ Pullback attractors for nonautonomous degenerate Kirchhoff equations with strong damping ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
Cites Work
- A Gronwall-type lemma with parameter and its application to Kirchhoff type nonlinear wave equation
- Global well-posedness of Kirchhoff systems
- Dynamics of quasi-stable dissipative systems
- Kirchhoff equations with strong damping
- Infinite-dimensional attractors for evolution equations with \(p\)-Laplacian and their Kolmogorov entropy.
- On the \(Z_2\) index of the global attractor for a class of \(p\)-Laplacian equations
- Global attractor for the Kirchhoff type equation with a strong dissipation
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Boundary stabilization for the stretched string equation
- Longtime dynamics of the Kirchhoff equation with strong damping and critical nonlinearity on \(\mathbb{R}^N\)
- An attractor for a nonlinear dissipative wave equation of Kirchhoff type
- Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
- Attractors for Kirchhoff's equation with a nonlinear damping coefficient
- On a global solution of some quasilinear hyperbolic equation
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- A class of nonlinear hyperbolic problems with global solutions
- 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 solvability for the Kirchhoff equations in exterior domains of dimension three
- Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type
- Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
- Attractors for the Kirchhoff equations with strong nonlinear damping
- Longtime behavior of the Kirchhoff type equation with strong damping on \(\mathbb{R}^N\)
- The existence of multiple equilibrium points in a global attractor for some symmetric dynamical systems
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Kirchhoff equations from quasi-analytic to spectral-gap data
- The initial value problem for a stretched string
- On some quasilinear wave equations with dissipative terms
- ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
- Existence and boundary stabilization of solutions for the kirchhoff equation
- Global exixtence and exponential decay estimates for a dampad quasilinear equation
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
- On the mildly degenerate Kirchhoff string
- Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
- Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
- On the Well-Posedness of the Kirchhoff String
- Finite- and infinite-dimensional attractors for porous media equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension