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 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 2004 hyundai santa fe catalytic converter and the asymptotic compactness of this type of coupled reaction-diffusion systems with cubic autocatalytic nonlinearity and linear coupling.It is proved that the Hausdorff dimension and the macallan hip flask fractal dimension of the global attractor are finite.Moreover, the existence of an exponential attractor for this solution semiflow is shown.