Nonexistence of global solutions for a class of viscoelastic wave equations (Q2062949)

scientific article; zbMATH DE number 7451496

Language	Label	Description	Also known as
English	Nonexistence of global solutions for a class of viscoelastic wave equations	scientific article; zbMATH DE number 7451496

Statements

instance of

scholarly article

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title

Nonexistence of global solutions for a class of viscoelastic wave equations (English)

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author

Jorge Alfredo Esquivel-Avila

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published in

Discrete and Continuous Dynamical Systems. Series S

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publication date

3 January 2022

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zbMATH Keywords

Kirchhoff equation

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Petrovsky equation

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memory term

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high energies

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positive invariant set

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdss.2021134

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cites work

REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS

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Finite-time blowup for a Schrödinger equation with nonlinear source term

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Global existence and blow-up of solutions for infinitely degenerate semilinear pseudo-parabolic equations with logarithmic nonlinearity

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Blow-up in damped abstract nonlinear equations

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Q3998295

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Blow-up of solution for an integro-differential equation with arbitrary positive initial energy

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A blow-up result in a nonlinear viscoelastic problem with arbitrary positive initial energy

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Blow-Up in Nonlinear Equations of Mathematical Physics

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Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)

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Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)

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Global nonexistence of solutions for viscoelastic wave equations of Kirchhoff type with high energy

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On asymptotic behavior and blow-up of solutions for a nonlinear viscoelastic Petrovsky equation with positive initial energy

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Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term

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Global existence and blow-up of solutions for a nonlinear wave equation with memory

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Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations

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Blow up and blow up time for degenerate Kirchhoff-type wave problems involving the fractional Laplacian with arbitrary positive initial energy

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The existence, general decay and blow-up for a plate equation with nonlinear damping and a logarithmic source term

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Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level

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Finite time blow-up for a nonlinear viscoelastic Petrovsky equation with high initial energy

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A family of potential wells for a wave equation

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Blow up and global existence in a nonlinear viscoelastic wave equation

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Blow-up of positive-initial-energy solutions of a nonlinear viscoelastic hyperbolic equation

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Strong blow-up instability for standing wave solutions to the system of the quadratic nonlinear Klein-Gordon equations

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Q3997763

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Global and non global solutions for a class of coupled parabolic systems

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Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level

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Existence and blow up of solutions to a Petrovsky equation with memory and nonlinear source term

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A global nonexistence theorem for viscoelastic equations with arbitrary positive initial energy

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Q3431716

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Blow-up of positive-initial-energy solutions for an integro-differential equation with nonlinear damping

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Global well-posedness for strongly damped viscoelastic wave equation

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Q3466957

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Q2954159

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Finite time blow-up and global existence of solutions for semilinear parabolic equations with nonlinear dynamical boundary condition

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Identifiers

zbMATH Open document ID

1480.35061

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Mathematics Subject Classification ID

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10.3934/DCDSS.2021134

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Sitelinks

Mathematics(1 entry)

mardi Publication:2062949