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Transport Equation Reduction for a Mathematical Model in Plant Growth

S. Boujena;  A. Chiboub;  J. Pousin — 2011

Mathematical Modelling of Natural Phenomena

In this article a variational reduction method, how to handle the case of heterogenous domains for the Transport equation, is presented. This method allows to get rid of the restrictions on the size of time steps due to the thin parts of the domain. In the thin part of the domain, only a differential problem, with respect to the space variable, is to be approximated numerically. Numerical results are presented with a simple example. The variational...

Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model

S. Boujena;  A. Chiboub;  J. Pousin — 2010

Mathematical Modelling of Natural Phenomena

Plant growth depends essentially on nutrients coming from the roots and metabolites produced by the plant. Appearance of new branches is determined by concentrations of certain plant hormones. The most important of them are Auxin and Cytokinin. Auxin is produced in the growing, Cytokinin in either roots or in growing parts. Many dynamical models of this phenomena have been studied in [1]. In [5], the authors deal with one branch model. In this work,...

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