Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge (Q2062964)

scientific article; zbMATH DE number 7451508

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English	Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge	scientific article; zbMATH DE number 7451508

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instance of

scholarly article

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title

Global existence and blow-up results for a nonlinear model for a dynamic suspension bridge (English)

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Discrete and Continuous Dynamical Systems. Series S

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publication date

3 January 2022

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zbMATH Keywords

fourth order wave equation

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global existence

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decay rate

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lifespan

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blow-up rate

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.3934/dcdss.2021135

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cites work

LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS

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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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Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity

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Finite time blow-up for a wave equation with dynamic boundary condition at critical and high energy levels in control systems

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Existence and uniform decay estimates for the fourth order wave equation with nonlinear boundary damping and interior source

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Blow-up and bounded solutions for a semilinear parabolic problem in a saturable medium

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A partially hinged rectangular plate as a model for suspension bridges

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Global solutions and finite time blow up for damped semilinear wave equations

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Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.

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Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis

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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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Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations

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Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity

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Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity

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Global existence and blow up of solutions for pseudo-parabolic equation with singular potential

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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 weak solutions for a class of fractional \(p\)-Laplacian evolution equations

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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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Initial-boundary value problem for a fourth-order plate equation with Hardy-Hénon potential and polynomial nonlinearity

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Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations

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Saddle points and instability of nonlinear hyperbolic equations

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On global solution of nonlinear hyperbolic equations

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Global nonexistence theorems for a class of evolution equations with dissipation

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Kirchhoff-type system with linear weak damping and logarithmic nonlinearities

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Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation

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Initial boundary value problem for semilinear hyperbolic equations and parabolic equations with critical initial data

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Addendum to ``Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations''

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Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations

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Global solutions and finite time blow-up for fourth order nonlinear damped wave equation

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Nonlinear wave equation with both strongly and weakly damped terms: supercritical initial energy finite time blow up

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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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Initial boundary value problem for a inhomogeneous pseudo-parabolic equation

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Identifiers

zbMATH Open document ID

1480.35048

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Mathematics Subject Classification ID

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10.3934/DCDSS.2021135

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Sitelinks

Mathematics(1 entry)

mardi Publication:2062964