Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case (Q2191157)

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English	Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case	scientific article

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title

Nonexistence of global solutions for the semilinear Moore - Gibson - Thompson equation in the conservative case (English)

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zbMATH Open document ID

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Discrete and Continuous Dynamical Systems

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publication date

24 June 2020

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full work available at URL

https://arxiv.org/abs/1909.08838

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Mathematics Subject Classification ID

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semilinear third order equation

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power nonlinearity

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Strauss exponent

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MaRDI profile type

MaRDI publication profile

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Critical curve for \(p\)-\(q\) systems of nonlinear wave equations in three space dimensions

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Moore-Gibson-Thompson equation with memory in a history framework: a semigroup approach

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On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation

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The Moore-Gibson-Thompson equation with memory in the critical case

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On the Moore-Gibson-Thompson equation and its relation to linear viscoelasticity

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Decay property for second order hyperbolic systems of viscoelastic materials

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Q2774031

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Methods for Partial Differential Equations

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Weighted Strichartz estimates and global existence for semilinear wave equations

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Existence in the large for \(cmu=F(u)\) in two space dimensions

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Finite-time blow-up for solutions of nonlinear wave equations

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Stabilization for the vibrations modeled by the `standard linear model' of viscoelasticity

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The sharp lower bound of the lifespan of solutions to semilinear wave equations with low powers in two space dimensions

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An elementary proof of the blow-up for semilinear wave equation in high space dimensions

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Blow-up of solutions of nonlinear wave equations in three space dimensions

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Second-sound phenomena in inviscid, thermally relaxing gases

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Q2889979

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Q5500898

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Biow-up of solutions of some nonlinear hyperbolic equations

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An elementary proof of Strauss conjecture

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Global solvability of Moore-Gibson-Thompson equation with memory arising in nonlinear acoustics

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Moore-Gibson-Thompson equation with memory. I: Exponential decay of energy

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Moore-Gibson-Thompson equation with memory. II: General decay of energy.

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Blow-up for solutions of □u=|u|pwith small initial data.

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Long-time existence for small amplitude semilinear wave equations

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An abstract semigroup approach to the third‐order Moore–Gibson–Thompson partial differential equation arising in high‐intensity ultrasound: structural decomposition, spectral analysis, exponential stability

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Q5727512

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Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities

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Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case

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Lifespan of semilinear wave equation with scale invariant dissipation and mass and sub-Strauss power nonlinearity

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Wellposedness and decay rates for the Cauchy problem of the Moore-Gibson-Thompson equation arising in high intensity ultrasound

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Optimal scalar products in the Moore-Gibson-Thompson equation

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DECAY RATES FOR SEMILINEAR VISCOELASTIC SYSTEMS IN WEIGHTED SPACES

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The equation utt − Δu = |u|p for the critical value of p

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Nonexistence of global solutions to semilinear wave equations in high dimensions

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Nonlinear scattering theory at low energy

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Improved Kato's lemma on ordinary differential inequality and its application to semilinear wave equations

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The sharp upper bound of the lifespan of solutions to critical semilinear wave equations in high dimensions

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Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation

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Q5664922

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Blow-up of solutions to critical semilinear wave equations with variable coefficients

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On the nonexistence of global solutions for critical semilinear wave equations with damping in the scattering case

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Finite time blow up for critical wave equations in high dimensions

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Life span of classical solutions to \(u_{tt} - u_{xx} =| u|^{1+\alpha}\)

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Q4024194

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Life span of classical solutions to \(\square u = | u | ^ p\) in two space dimensions

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Q4858785

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Blow up of solutions to semilinear wave equations with critical exponent in high dimensions

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Life-Span of Solutions to Critical Semilinear Wave Equations

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mardi Publication:2191157