Global existence and blowup in infinite time for a fourth order wave equation with damping and logarithmic strain terms
From MaRDI portal
Publication:2062960
DOI10.3934/dcdss.2021115zbMath1480.35045OpenAlexW3205207618MaRDI QIDQ2062960
Xingchang Wang, Furong Wu, Yue Pang
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2021115
Galerkin methodglobal existencearbitrary positive initial energyfourth order wave equationblowup in infinite time
Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44) Higher-order semilinear hyperbolic equations (35L76)
Related Items
Blow-up results for a Boussinesq-type plate equation with a logarithmic damping term and variable-exponent nonlinearities ⋮ An energy-conserving finite element method for nonlinear fourth-order wave equations
Cites Work
- Unnamed Item
- Unnamed Item
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity
- A hybridized weak Galerkin finite element scheme for general second-order elliptic problems
- Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
- Fourth order wave equations with nonlinear strain and source terms
- Large scale oscillatory behaviour in loaded asymmetric systems
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- Nonlinear oscillations in a suspension bridge
- Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
- On the initial-boundary value problem for the damped Boussinesq equation
- Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
- Fourth order wave equation with nonlinear strain and logarithmic nonlinearity
- On the logarithmic Keller-Segel-Fisher/KPP system
- On the Sobolev space of functions with derivative of logarithmic order
- Existence, multiplicity and nonexistence results for Kirchhoff type equations
- Pointwise gradient bounds for a class of very singular quasilinear elliptic equations
- Fixed point of some Markov operator of Frobenius-Perron type generated by a random family of point-transformations in \(\mathbb{R}^d\)
- Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy
- 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
- Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source
- Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition
- Global well-posedness for a class of fourth-order nonlinear strongly damped wave equations
- On the initial-boundary problem for fourth order wave equations with damping, strain and source terms
- Global well-posedness of coupled parabolic systems
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- An elliptic system with logarithmic nonlinearity
- FINITE TIME BLOW UP OF FOURTH-ORDER WAVE EQUATIONS WITH NONLINEAR STRAIN AND SOURCE TERMS AT HIGH ENERGY LEVEL
- On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
- Loss of Hyperbolicity in Elastic-Plastic Material at Finite Strains
- Logarithmic Sobolev Inequalities
- The Effect of Microstructure on Elastic-Plastic Models
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- Traveling Waves in a Suspension Bridge System
- Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
- Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity
- Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations
- On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)