Results 91 to 100 of about 46,976 (223)

Global dynamics of a reaction-diffusion system

open access: yesElectronic Journal of Differential Equations, 2011
In this work the existence of a global attractor for the semiflow of weak solutions of a two-cell Brusselator system is proved. The method of grouping estimation is exploited to deal with the challenge in proving the absorbing property and the ...
Yuncheng You
doaj  

Long-time dynamics of a random higher-order Kirchhoff model with variable coefficient rotational inertia

open access: yesResults in Applied Mathematics
This paper delves into the stochastic asymptotic behavior of a non-autonomous stochastic higher-order Kirchhoff equation with variable coefficient rotational inertia.
Penghui Lv, Yuxiao Cun, Guoguang Lin
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Random attractors for stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domains

open access: yesOpen Mathematics, 2018
In this paper we investigate the stochastic retarded reaction-diffusion equations with multiplicative white noise on unbounded domain ℝn (n ≥ 2). We first transform the retarded reaction-diffusion equations into the deterministic reaction-diffusion ...
Jia Xiaoyao, Ding Xiaoquan, Gao Juanjuan
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Kirchhoff–Hardy Fractional Problems with Lack of Compactness

open access: yesAdvanced Nonlinear Studies, 2017
This paper deals with the existence and the asymptotic behavior of nontrivial solutions for some classes of stationary Kirchhoff problems driven by a fractional integro-differential operator and involving a Hardy potential and different critical ...
Fiscella Alessio, Pucci Patrizia
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Measure Attractors of Stochastic Fractional Lattice Systems

open access: yesFractal and Fractional
This paper seeks to establish the measure attractors in stochastic fractional lattice systems. First, the presence of these attractor measures is proven by the uniform estimates of the solution.
Shudong Weng, Shaoyue Mi, Dingshi Li
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Existence and regularity of pullback attractors for a 3D non-autonomous Navier–Stokes–Voigt model with finite delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this manuscript previous results [Nonlinearity 25(2012), 905–930] are extended to a non-autonomous 3D Navier–Stokes–Voigt model in which a forcing term contains memory effects.
Julia García-Luengo, Pedro Marín-Rubio
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