Variational reduction for the transport equation in a multiple
branching plants growth model
The plant growth and particularly the appearance of new branches is
a consequence of the concentration of two hormones. One of them is
produced in the roots and the other one is produced in the growing
parts of the plant. Many dynamical models of this phenomena have
already been studied. In this work we study a model of multiple
branching. We deal with the transport equation in domains of
different sizes by using a variational reduction type method based
on the asymptotic partial decomposition for an elliptic problem. In
general this is applied to the case of a geometrical heterogeneous
domain when the right hand side does not depend on the striking
variable. In our case we consider the transport equation in an
heterogeneous domain with a general right hand side.
