In this work the existence of a global attractor for the solution semiflow of the coupled two-cell Brusselator model equations is proved. A grouping estimation method and a new decomposition approach are introduced to deal with the challenges in proving the absorbing property and the asymptotic compactness of this type of four-variable reaction-diffusion systems with cubic autocatalytic nonlinearity and with linear coupling. It is also proved that the Hausdorff dimension and the fractal dimension of the global attractor are finite. © Springer Science+Business Media New York 2013.
CITATION STYLE
You, Y. (2013). Global attractor of a coupled two-cell Brusselator model. Fields Institute Communications, 64, 319–352. https://doi.org/10.1007/978-1-4614-4523-4_13
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