Anomalous pseudo-parabolic Kirchhoff-type dynamical model
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Publication:2667182
DOI10.1515/anona-2021-0207zbMath1479.35544OpenAlexW3207918857MaRDI QIDQ2667182
Xueteng Tian, Jiangbo Han, Xiaoqiang Dai, Qiang Lin
Publication date: 24 November 2021
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2021-0207
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59)
Related Items (7)
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms ⋮ Blowup phenomena for a fourth order wave equation at high initial energy level ⋮ Global existence and blow up of solutions for a class of coupled parabolic systems with logarithmic nonlinearity ⋮ Qualitative behavior of solutions for a class of coupled nonlinear Klein-Gordon equations with strongly damping terms ⋮ On an initial boundary value problem for fractional pseudo-parabolic equation with conformable derivative ⋮ Blow-up of solution to semilinear wave equations with strong damping and scattering damping ⋮ The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Hitchhiker's guide to the fractional Sobolev spaces
- Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
- A diffusion problem of Kirchhoff type involving the nonlocal fractional \(p\)-Laplacian
- Mountain pass solutions for non-local elliptic operators
- Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Existence and asymptotic behaviour of solutions to weakly damped wave equations of Kirchhoff type with nonlinear damping and source terms
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Saddle points and instability of nonlinear hyperbolic equations
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy
- Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
- Variational methods for non-local operators of elliptic type
- Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations
- Finite time blow-up for a class of parabolic or pseudo-parabolic equations
- Global and non global solutions for a class of coupled parabolic systems
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Upper and lower bounds of blow-up time to a parabolic type Kirchhoff equation with arbitrary initial energy
- Global well-posedness of coupled parabolic systems
- Blow-up solutions for fully nonlinear equations: existence, asymptotic estimates and uniqueness
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Degenerate Kirchhoff-type diffusion problems involving the fractional \(p\)-Laplacian
- A fractional Kirchhoff problem involving a singular term and a critical nonlinearity
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- A critical Kirchhoff type problem involving a nonlocal operator
- Infinitely many solutions for the stationary Kirchhoff problems involving the fractionalp-Laplacian
- Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
- From the long jump random walk to the fractional Laplacian
- A General Fractional Porous Medium Equation
- Non-local Diffusions, Drifts and Games
- Nonlinear Diffusion with Fractional Laplacian Operators
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- On a fractional degenerate Kirchhoff-type problem
- Blow‐up phenomena for a pseudo‐parabolic equation
- Variational Methods for Nonlocal Fractional Problems
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- On solutions of space-fractional diffusion equations by means of potential wells
- 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
- A critical fractional Choquard–Kirchhoff problem with magnetic field
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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