Blow-up of solutions to a class of Kirchhoff equations with strong damping and nonlinear dissipation
From MaRDI portal
Publication:2401069
DOI10.1186/s13661-017-0843-4zbMath1378.35184OpenAlexW2743720713WikidataQ59524558 ScholiaQ59524558MaRDI QIDQ2401069
Jian Dang, Qingying Hu, Hongwei Zhang
Publication date: 31 August 2017
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-017-0843-4
Initial-boundary value problems for second-order hyperbolic equations (35L20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Second-order quasilinear hyperbolic equations (35L72)
Related Items
Dynamics properties for a viscoelastic Kirchhoff-type equation with nonlinear boundary damping and source terms ⋮ Unnamed Item ⋮ Upper and lower bounds of blowup time to a strongly damped wave equation of Kirchhoff type with memory term and nonlinear dissipations ⋮ Lifespan of solutions to a hyperbolic type Kirchhoff equation with arbitrarily high initial energy
Cites Work
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Existence and asymptotic behavior of the wave equation with dynamic boundary conditions
- Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Global nonexistence for nonlinear Kirchhoff systems
- Kirchhoff systems with dynamic boundary conditions
- Existence and exponential decay for a Kirchhoff-Carrier model with viscosity
- 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
- Global existence and blowup of solutions for a higher-order Kirchhoff-type equation with nonlinear dissipation.
- Global nonexistence theorems for a class of evolution equations with dissipation
- A characterization of global and nonglobal solutions of nonlinear wave and Kirchhoff equations
- Global solutions and finite time blow up for damped Klein-Gordon equation
- A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation
- Global solutions and finite time blow up for damped semilinear wave equations
- Blow-up of solutions for some non-linear wave equations of Kirchhoff type with some dissipation
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Well-posedness for a class of Kirchhoff equations with damping and memory terms
- A blow-up result for Kirchhoff-type equations with high energy
- Blow up at infinity of solutions of polyharmonic Kirchhoff systems
- LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS
- On the strongly damped wave equation with nonlinear damping and source terms
- On solutions to some quasilinear hyperbolic equations with nonlinear inhomogeneous terms
- Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation
- Blow-up of solutions for the Kirchhoff equation of q-Laplacian type with nonlinear dissipation
- Existence and asymptotic behaviour for a degenerate Kirchhoff-Carrier model with viscosity and nonlinear boundary conditions
