Uniform Estimate of Dimension of the Global Attractor for a Semi-discretized Chemotaxis-growth System
نویسنده
چکیده
We study a finite-element approximation of the chemotaxis-growth system. We establish dimension estimate of global attractors for the approximate systems. Our results show that the estimates are uniform with respect to the discretization parameter and polynomial order with respect to the chemotactic coefficient in the equation.We especially emphasize that, this is just the same order(polynomial) as for the original system obtained in the preceding papers [Adv.Math.Sci.Appl. Part I and II,(to appear)].
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تاریخ انتشار 2006