Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
DOI10.1515/anona-2022-0226zbMath1500.37045OpenAlexW4226365469MaRDI QIDQ2117410
Publication date: 21 March 2022
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2022-0226
well-posednessglobal attractorfractal dimensionstructural dampingdegeneratestrong dampingfractional Kirchhoff wave equation
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Fractional derivatives and integrals (26A33) Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Fractional partial differential equations (35R11)
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Cites Work
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- Nonlocal diffusion and applications
- Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity
- Higher Sobolev regularity for the fractional \(p\)-Laplace equation in the superquadratic case
- Hitchhiker's guide to the fractional Sobolev spaces
- Absolute stability of the Kirchhoff string with sector boundary control
- Dynamics of quasi-stable dissipative systems
- On the \(Z_2\) index of the global attractor for a class of \(p\)-Laplacian equations
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Absolute stability of the axially moving Kirchhoff string with a sector boundary feedback control
- Asymptotic stability for nonlinear Kirchhoff systems
- Global solutions for dissipative Kirchhoff strings with non-Lipschitz nonlinear term
- Global solutions for a nonlinear wave equation
- An attractor for a nonlinear dissipative wave equation of Kirchhoff type
- Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
- 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
- Fractional quantum mechanics and Lévy path integrals
- Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian
- Kernel sections for non-autonomous strongly damped wave equations of non-degenerate Kirchhoff-type
- Kirchhoff-type system with linear weak damping and logarithmic nonlinearities
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth
- Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems
- Multiplicity and concentration behaviour of solutions for a fractional Choquard equation with critical growth
- Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity
- Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy
- Local boundedness and Hölder continuity for the parabolic fractional \(p\)-Laplace equations
- Existence of multiple solutions of \(p\)-fractional Laplace operator with sign-changing weight function
- Attractors for the degenerate Kirchhoff wave model with strong damping: existence and the fractal dimension
- Global well-posedness of coupled parabolic systems
- Optimal attractors of the Kirchhoff wave model with structural nonlinear damping
- Editorial. Progress in nonlinear Kirchhoff problems
- Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms
- Equivalence of solutions to fractional \(p\)-Laplace type equations
- A sharp eigenvalue theorem for fractional elliptic equations
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
- A general theory of heat conduction with finite wave speeds
- A minimum-maximum principle for a class of non-linear integral equations
- Small linear perturbations of fractional Choquard equations with critical exponent
- Memory Driven Instability in a Diffusion Process
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Variational Methods for Nonlocal Fractional Problems
- Bifurcation with Memory
- Decay properties of solutions of some quasilinear hyperbolic equations with strong damping
- Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
- Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
- Nonlinear Analysis - Theory and Methods
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Regularity of embeddings of infinite-dimensional fractal sets into finite-dimensional spaces
- Global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Local existence, global existence and blow-up of solutions to a nonlocal Kirchhoff diffusion problem
- Partial Differential Equations with Variable Exponents
- Global well-posedness and global attractor of fourth order semilinear parabolic equation
- Variational Methods
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