Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme

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Abstract

In this paper we continue systematic study of the dimension estimate of the global attractors for the chemotaxis-growth system and its finite-element approximations. Utilizing a conservative upwind finite-element scheme we managed significantly to improve dimension estimates with respect to the chemotactic parameter. © 2009 Elsevier Inc. All rights reserved.

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Efendiev, M., Nakaguchi, E., & Wendland, W. L. (2009). Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme. Journal of Mathematical Analysis and Applications, 358(1), 136–147. https://doi.org/10.1016/j.jmaa.2009.04.025

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