Analysis and Applications, 2017,
15 (6), p. 771-793 ISSN 0219-5305
The aim of this paper is to study the mathematical properties of a new model of soil carbon dynamics which is a reaction-diffusion-advection system with a quadratic reaction term. This is a spatial version of Modeling Organic changes by Micro-Organisms of Soil model, recently introduced by M. Pansu and his group. We show here that for any nonnegative initial condition, there exists a unique nonnegative weak solution. Moreover, if we assume time periodicity of model entries, taking into account seasonal effects, we prove existence of a minimal and a maximal periodic weak solution. In a particular case, these two solutions coincide and they become a global attractor of any bounded solution of the periodic system.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Pédologie [068]
