Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.09.012 ◽

2019 ◽

Vol 469 (1) ◽

pp. 298-320 ◽

Author(s):

Zhijian Yang ◽

Fang Da

Keyword(s):

Wave Equation ◽

Strong Damping ◽

Critical Nonlinearities

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Blow-up phenomena for a viscoelastic wave equation with strong damping and logarithmic nonlinearity

Advances in Difference Equations ◽

10.1186/s13662-020-02694-x ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Tae Gab Ha ◽

Sun-Hye Park

Keyword(s):

Wave Equation ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Viscoelastic Wave

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On the existence of a global attractor for the wave equation with nonlinear strong damping perturbed by nonmonotone term

Nonlinear Analysis ◽

10.1016/j.na.2007.09.028 ◽

2008 ◽

Vol 69 (10) ◽

pp. 3372-3385 ◽

Author(s):

A.Kh. Khanmamedov

Keyword(s):

Wave Equation ◽

Global Attractor ◽

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Stochastic wave equation with critical nonlinearities: Temporal regularity and uniqueness

Journal of Differential Equations ◽

10.1016/j.jde.2009.12.010 ◽

2010 ◽

Vol 248 (7) ◽

pp. 1579-1602 ◽

Author(s):

Martin Ondreját

Keyword(s):

Wave Equation ◽

Temporal Regularity ◽

Critical Nonlinearities ◽

Stochastic Wave Equation

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Global existence, uniform decay and exponential growth for a class of semi-linear wave equation with strong damping

Acta Mathematica Scientia ◽

10.1016/s0252-9602(12)60193-3 ◽

2013 ◽

Vol 33 (1) ◽

pp. 41-58 ◽

Author(s):

Hua CHEN ◽

Gongwei LIU

Keyword(s):

Wave Equation ◽

Global Existence ◽

Exponential Growth ◽

Linear Wave ◽

Linear Wave Equation ◽

Uniform Decay ◽

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Blow-up of a nonlinear viscoelastic wave equation with distributed delay combined with strong damping and source terms

Journal of Nonlinear Functional Analysis ◽

10.23952/jnfa.2020.31 ◽

2020 ◽

Vol 2020 (1) ◽

Keyword(s):

Wave Equation ◽

Blow Up ◽

Distributed Delay ◽

Source Terms ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave ◽

Damping And Source Terms

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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

Nonlinear Analysis ◽

10.1016/j.na.2019.111664 ◽

2020 ◽

Vol 192 ◽

pp. 111664 ◽

Author(s):

Yuxuan Chen ◽

Runzhang Xu

Keyword(s):

Wave Equation ◽

Fourth Order ◽

Well Posedness ◽

Dispersive Wave ◽

Strong Damping ◽

Weak Damping ◽

Dispersive Wave Equation

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Global attractor of the quasi-linear wave equation with strong damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.10.021 ◽

2018 ◽

Vol 458 (2) ◽

pp. 1292-1306

Author(s):

Zhijian Yang ◽

Zhiming Liu

Keyword(s):

Wave Equation ◽

Global Attractor ◽

Linear Wave ◽

Linear Wave Equation ◽

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Blow up in a nonlinear viscoelastic wave equation with strong damping

Nonlinear Analysis ◽

10.1016/j.na.2014.06.012 ◽

2014 ◽

Vol 109 ◽

pp. 245-251 ◽

Author(s):

Haitao Song ◽

Desheng Xue

Keyword(s):

Wave Equation ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave

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Global solution to the Cauchy problem of the nonlinear double dispersive wave equation with strong damping

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2009.v6.n4.a4 ◽

2009 ◽

Vol 6 (4) ◽

pp. 367-383 ◽

Author(s):

C. Song ◽

Z. Yang

Keyword(s):

Cauchy Problem ◽

Wave Equation ◽

Global Solution ◽

Dispersive Wave ◽

Strong Damping ◽

The Cauchy Problem ◽

Dispersive Wave Equation

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Lower bounds for the blow-up time to a nonlinear viscoelastic wave equation with strong damping

AIMS Mathematics ◽

10.3934/math.2018.4.514 ◽

2018 ◽

Vol 3 (4) ◽

pp. 514-523

Author(s):

Xiaoming Peng ◽

◽

Xiaoxiao Zheng ◽

Yadong Shang ◽

◽

...

Keyword(s):

Wave Equation ◽

Lower Bounds ◽

Blow Up ◽

Strong Damping ◽

Viscoelastic Wave Equation ◽

Nonlinear Viscoelastic ◽

Viscoelastic Wave

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