A blow up result for viscoelastic equations with arbitrary positive initial energy
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Publication:1950075
DOI10.1186/1687-2770-2011-6zbMath1270.35134OpenAlexW2141235920WikidataQ59269773 ScholiaQ59269773MaRDI QIDQ1950075
Jie Ma, Rong Zeng, Chun-Lai Mu
Publication date: 24 May 2013
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2011-6
Linear constitutive equations for materials with memory (74D05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09) Initial-boundary value problems for second-order hyperbolic systems (35L53)
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A blow-up result in a system of nonlinear viscoelastic wave equations with arbitrary positive initial energy, Unnamed Item, Global well-posedness for a class of Kirchhoff-type wave system
Cites Work
- Well-posedness and optimal decay rates for the wave equation with nonlinear boundary damping-source interaction
- Exponential energy decay of solutions of viscoelastic wave equations
- On existence, uniform decay rates and blow up for solutions of the 2-D wave equation with exponential source
- A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy
- Global nonexistence for abstract evolution equations with positive initial energy
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Global nonexistence theorems for quasilinear evolution equations with dissipation
- Existence and asymptotic stability for evolution problems on manifolds with damping and source terms.
- Blow up for nonlinear dissipative wave equations in \(\mathbb R^n\)
- Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
- Existence and decay rate estimates for the wave equation with nonlinear boundary damping and source term
- Global solutions and finite time blow up for damped semilinear wave equations
- Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation
- Existence and uniform decay for a non-linear viscoelastic equation with strong damping
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
- Blow up and global existence in a nonlinear viscoelastic wave equation
- Asymptotic Stability and Energy Decay Rates for Solutions of the Wave Equation with Memory in a Star-Shaped Domain
- Blow up of solutions of the Cauchy problem for a wave equation with nonlinear damping and source terms and positive initial energy
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations