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Mathematical Modelling of Natural Phenomena (1)

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Variational Reduction for the Transport Equation in a MultipleBranching Plants Growth Model
A. Taik, S. Boujena, A. Chiboub, J. Pousin
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 7 / 2010

Published online by Cambridge University Press:

26 August 2010, pp. 11-15

Print publication:

2010
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Plant growth depends essentially on nutrients coming from the roots and metabolitesproduced by the plant. Appearance of new branches is determined by concentrations ofcertain plant hormones. The most important of them are Auxin and Cytokinin. Auxin isproduced in the growing, Cytokinin in either roots or in growing parts. Many dynamicalmodels of this phenomena have been studied in [1]. In [5], the authors deal with onebranch model. In this work, we focus our interest on a multiple branch model. We deal withthe transport equation in domains of different sizes. A variational reduction type method[3] based on asymptotic partial decomposition introduced in [2] (see also [4]) is used. Inthis work we consider the transport equation in decomposed domain with a general righthand side