Geodesic
Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model
S. Boujena1 ; A. Chiboub1 ; J. Pousin2
1 Department of Mathematics and Informatique, Faculty of Sciences Ain Chock, B.P 5366, Maarif 20200, Casablanca-Morocco
2 INSA of Lyon, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France
Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 11-15.

Voir la notice de l'article provenant de la source EDP Sciences

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, we focus our interest on a multiple branch model. We deal with the 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. In this work we consider the transport equation in decomposed domain with a general right hand side
DOI : 10.1051/mmnp/20105702

S. Boujena 1 ; A. Chiboub 1 ; J. Pousin 2

1 Department of Mathematics and Informatique, Faculty of Sciences Ain Chock, B.P 5366, Maarif 20200, Casablanca-Morocco
2 INSA of Lyon, Institute Camille Jordan, UMR 5208, 69100 Villeurbanne, France 
@article{MMNP_2010_5_7_Supplement_a2,
     author = {S. Boujena and A. Chiboub and J. Pousin},
     title = {Variational {Reduction} for the {Transport} {Equation} in a {Multiple} {Branching} {Plants} {Growth} {Model}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {11--15},
     publisher = {mathdoc},
     volume = {5},
     number = {7 Supplement},
     year = {2010},
     doi = {10.1051/mmnp/20105702},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105702/}
}
TY  - JOUR
AU  - S. Boujena
AU  - A. Chiboub
AU  - J. Pousin
TI  - Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model
JO  - Mathematical modelling of natural phenomena
PY  - 2010
SP  - 11
EP  - 15
VL  - 5
IS  - 7 Supplement
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105702/
DO  - 10.1051/mmnp/20105702
LA  - en
ID  - MMNP_2010_5_7_Supplement_a2
ER  - 
%0 Journal Article
%A S. Boujena
%A A. Chiboub
%A J. Pousin
%T Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model
%J Mathematical modelling of natural phenomena
%D 2010
%P 11-15
%V 5
%N 7 Supplement
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105702/
%R 10.1051/mmnp/20105702
%G en
%F MMNP_2010_5_7_Supplement_a2
S. Boujena; A. Chiboub; J. Pousin. Variational Reduction for the Transport Equation in a Multiple Branching Plants Growth Model. Mathematical modelling of natural phenomena, Tome 5 (2010) no. 7 Supplement, pp. 11-15. doi : 10.1051/mmnp/20105702. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20105702/

[1] N. Bessonov, V. Volpert. Dynamic models of plant growth. Mathematics and mathematical modeling I. Publibook Paris, (2007).

[2] G.P. Panasenko. Multi-scale modelling for structures and composites. Springer Verlag, (2005).

[3] O. Diallo. Modélisation et simulation numérique de résine réactive dans un milieu poreux. Thèse de doctorat, Université Claude Bernard Lyon 1, (2000).

[4] F. Fontevieille. Décomposition asymptôtique et éléments finis. Thèse de doctorat, Université Claude Bernard Lyon 1, (2004).

[5] M.Picq, J.Pousin.Variational reduction for the transport equation and plants growth. Proccedings of the conference modelling of the heterogeneous materials with applications in constructions and biological engineering, czech technical, University of Prague, (2007).

Cité par Sources :