Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation
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Publication:5000005
DOI10.3233/ASY-201621zbMath1473.35550OpenAlexW3033862941MaRDI QIDQ5000005
Jiangbo Han, Yanbing Yang, Run-Zhang Xu
Publication date: 5 July 2021
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3233/asy-201621
asymptotic behaviorfinite time blow uparbitrarily positive initial energyfourth order damped wave equation
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear waves in solid mechanics (74J30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Blow-up in context of PDEs (35B44)
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Cites Work
- Attractors for weakly damped beam equations with \(p\)-Laplacian
- 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
- Global attractors for Mindlin-Timoshenko plates and for their Kirchhoff limits
- Dynamics around the ground state of a nonlinear evolution equation
- Global existence, asymptotic behavior and blowup of solutions for a class of nonlinear wave equations with dissipative term
- Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity
- Superlinear Schrödinger-Kirchhoff type problems involving the fractional \(p\)-Laplacian and critical exponent
- Sharp conditions of global existence for nonlinear Schrödinger equation with a harmonic potential
- Global and non global solutions for a class of coupled parabolic systems
- Existence and non-existence results for Kirchhoff-type problems with convolution nonlinearity
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- Global existence for the wave equation with nonlinear boundary damping and source terms
- FINITE TIME BLOW UP OF FOURTH-ORDER WAVE EQUATIONS WITH NONLINEAR STRAIN AND SOURCE TERMS AT HIGH ENERGY LEVEL
- Finite-dimensional attractors for the Kirchhoff models with critical exponents
- On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
- A hybrid legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms
- Global attractors for nonlinear beam equations
- Long-time behavior of second order evolution equations with nonlinear damping
- The Effect of Microstructure on Elastic-Plastic Models
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- Global solutions and finite time blow-up for fourth order nonlinear damped wave equation
- Nonlinear Analysis - Theory and Methods
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Finite-dimensional attractors for the Kirchhoff models
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations