@article{PAR00016507,
  title = {{M}athematical analysis of a spatially distributed soil carbon dynamics model},
  author = {{H}ammoudi, {A}. and {I}osifescu, {O}. and {B}ernoux, {M}artial},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he 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. {T}his is a spatial version of {M}odeling {O}rganic changes by {M}icro-{O}rganisms of {S}oil model, recently introduced by {M}. {P}ansu and his group. {W}e show here that for any nonnegative initial condition, there exists a unique nonnegative weak solution. {M}oreover, 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. {I}n a particular case, these two solutions coincide and they become a global attractor of any bounded solution of the periodic system.},
  keywords = {{S}oil organic carbon dynamics ; reaction-diffusion-advection system ; positive weak solutions ; periodic weak solutions},
  booktitle = {},
  journal = {{A}nalysis and {A}pplications},
  volume = {15},
  numero = {6},
  pages = {771--793},
  ISSN = {0219-5305},
  year = {2017},
  DOI = {10.1142/s0219530516500081},
  URL = {https://www.documentation.ird.fr/hor/{PAR}00016507},
}