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Dimension estimate of the global attractor for a semi-discretized chemotaxis-growth system by conservative upwind finite-element scheme |
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| Authors: | Messoud Efendiev |
| Institution: | a Department of Mathematics, Technical University of Munich, Boltzmannstrasse 3, 85747 Garching, Germany b College of Liberal Arts and Sciences, Tokyo Medical and Dental University, 2-8-30 Kohnodai, Ichikawa, Chiba 272-0827, Japan c Department of Mathematics, University of Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany |
| 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. |
| Keywords: | Dimension of global attractor Finite-element approximation Upwind scheme Nonnegativity of solution Chemotaxis-growth system |
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