Global dynamics of a reaction-diffusion system

Global dynamics of a reaction-diffusion system

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In this work the existence of a global attractor for lightning to usb apple 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 asymptotic compactness of this type of coupled reaction-diffusion systems with pine tar soap woolworths cubic autocatalytic nonlinearity and linear coupling.It is proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite.

Moreover, the existence of an exponential attractor for this solution semiflow is shown.