Kirchhoff-type system with linear weak damping and logarithmic nonlinearities
From MaRDI portal
Publication:2007494
DOI10.1016/j.na.2019.06.019zbMath1437.35471OpenAlexW2955341705MaRDI QIDQ2007494
Xingchang Wang, Yuxuan Chen, Jiaheng Li, Yanbing Yang, Run-Zhang Xu
Publication date: 21 November 2019
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2019.06.019
Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Related Items
Existence of multi-bump solutions for a nonlinear Kirchhoff-type system ⋮ Stability result of a viscoelastic plate equation with past history and a logarithmic nonlinearity ⋮ Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity ⋮ Global existence and decay of solutions for a higher-order Kirchhoff-type systems with logarithmic nonlinearities ⋮ Semilinear Caputo time-fractional pseudo-parabolic equations ⋮ Two model equations with a second degree logarithmic nonlinearity and their Gaussian solutions ⋮ A mixed nonlinear time-fractional Rayleigh-Stokes equation ⋮ Local existence for a viscoelastic Kirchhoff type equation with the dispersive term, internal damping, and logarithmic nonlinearity ⋮ Local and global existence of solutions to a time-fractional wave equation with an exponential growth ⋮ Global existence and decay of solutions for a system of viscoelastic wave equations of Kirchhoff type with logarithmic nonlinearity ⋮ On the initial and terminal value problem for a class of semilinear strongly material damped plate equations ⋮ Initial boundary value problem of pseudo‐parabolic Kirchhoff equations with logarithmic nonlinearity ⋮ Blow-up properties of solutions to a class of \(p\)-Kirchhoff evolution equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Well-posedness results for a class of semilinear time-fractional diffusion equations ⋮ Initial boundary value problem of a class of mixed pseudo-parabolic Kirchhoff equations ⋮ Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge ⋮ Decay results for a viscoelastic problem with nonlinear boundary feedback and logarithmic source term ⋮ New general decay results for a viscoelastic plate equation with a logarithmic nonlinearity ⋮ Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Instability of positive periodic solutions for semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Existence theorems for entire solutions of stationary Kirchhoff fractional \(p\)-Laplacian equations
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
- Asymptotic stability for nonlinear Kirchhoff systems
- Vibrations of elastic string with nonhomogeneous material
- Global nonexistence for nonlinear Kirchhoff systems
- A singular parabolic equation with logarithmic nonlinearity and \(L^p\)-initial data
- Kirchhoff systems with dynamic boundary conditions
- On coupled nonlinear wave equations of Kirchhoff type with damping and source terms
- Global solvability for the degenerate Kirchhoff equation with real analytic data
- Saddle points and instability of nonlinear hyperbolic equations
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
- On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation
- Stability for a system of wave equations of Kirchhoff with coupled nonlinear and boundary conditions of memory type
- Variational inequality for quasilinear wave equations with nonlinear damping terms
- Existence and a general decay results for a viscoelastic plate equation with a logarithmic nonlinearity
- Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up
- Global existence and blowup of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation.
- On uniform decay of coupled wave equation of Kirchhoff type subject to memory condition on the boundary
- Global nonexistence theorems for a class of evolution equations with dissipation
- On existence of solutions of nondegenerate wave equations with nonlinear damping terms
- Global nonexistence for nonlinear Kirchhoff systems with memory term
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Pseudoparabolic regularization of forward-backward parabolic equations: a logarithmic nonlinearity
- On a system of nonlinear wave equations with Balakrishnan-Taylor damping
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- Global existence and blow up of solutions for some hyperbolic systems with damping and source terms
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Multiplicity of solutions for a class of quasilinear Kirchhoff system involving the fractionalp-Laplacian
- A blow-up result for Kirchhoff-type equations with high energy
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Variational Methods for Nonlocal Fractional Problems
- Infinitely many solutions for fractional Kirchhoff-Schrödinger-Poisson systems
- Nonlinear Analysis - Theory and Methods
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- On the Well-Posedness of the Kirchhoff String
- Non-Linear vibration of an elastic string
- Infinite Systems of Nonlinear Oscillation Equations with Linear Damping
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Global existence and uniform decay rates for the Kirchhoff-Carrier equation with nonlinear dissipation