Initial boundary value problem for a class of fourth-order wave equation with viscous damping term
From MaRDI portal
Publication:2844773
DOI10.1080/00036811.2012.682058zbMath1275.35137OpenAlexW2039371691WikidataQ58253886 ScholiaQ58253886MaRDI QIDQ2844773
Shuo Wang, Yunhua Ding, Yanbing Yang, Run-Zhang Xu
Publication date: 19 August 2013
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2012.682058
Viscoelastic fluids (76A10) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)
Related Items (12)
On decay and blow-up of solutions for a nonlinear beam equation with double damping terms ⋮ A note on blow-up of solutions for a class of fourth-order wave equation with viscous damping term ⋮ Global existence and exponential growth of solution for the logarithmic Boussinesq-type equation ⋮ Blow-up phenomena for a class of generalized double dispersion equations ⋮ Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates ⋮ Arbitrary initial energy blow up for fourth-order viscous damped wave equation with exponential-type growth nonlinearity ⋮ Arbitrarily positive initial energy blowup and blowup time for some fourth-order viscous wave equation ⋮ Initial and boundary value problems for a class of nonlinear metaparabolic equations ⋮ Blow-up phenomena for a class of metaparabolic equations with time dependent coeffcient ⋮ Existence and nonexistence of global solutions to the Cauchy problem of the nonlinear hyperbolic equation with damping term ⋮ Blow-up of solutions for a class of sixth order nonlinear strongly damped wave equation ⋮ Blowup phenomena for some fourth-order strain wave equations at arbitrary positive initial energy level
Cites Work
- Nonlinear Schrödinger equation with combined power-type nonlinearities and harmonic potential
- The Cauchy problem for a class of the multidimensional Boussinesq-type equation
- Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations
- Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations
- Fourth order wave equations with nonlinear strain and source terms
- Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
- Saddle points and instability of nonlinear hyperbolic equations
- Global nonexistence for abstract evolution equations with positive initial energy
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Global nonexistence theorems for a class of evolution equations with dissipation
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- Potential well method for Cauchy problem of generalized double dispersion equations
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Global solutions and finite time blow up for damped semilinear wave equations
- The initial-boundary value problems for a class of nonlinear wave equations with damping term
- On global solution of nonlinear hyperbolic equations
- Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign
- Some generalized results for global well-poseness for wave equations 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
- Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- A Weakly Nonlinear Analysis of Elasto-plastic-Microstructure Models
- On the standing wave in coupled non-linear Klein-Gordon equations
- Existence and Uniqueness of a Solution to the Cauchy Problem for the Damped Boussinesq Equation
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
- Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.
This page was built for publication: Initial boundary value problem for a class of fourth-order wave equation with viscous damping term
