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| Mathematical Analysis of a Chemotaxis-Type Model of Soil Carbon Dynamic |
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Citation： |
Alaaeddine HAMMOUDI,Oana IOSIFESCU.Mathematical Analysis of a Chemotaxis-Type Model of Soil Carbon Dynamic[J].Chinese Annals of Mathematics B,2018,39(2):253~280 |
| Page view： 1293
Net amount： 815 |
Authors： |
Alaaeddine HAMMOUDI; Oana IOSIFESCU |
Foundation： |
This work was supported by the Laboratories of
Excellence (LabEx) NUMEV (solutions Num'eriques, Matricielles et
Mod'elisation pour l'Environnement et le Vivant), the LabEx CEMEB
(Centre M'editerran'een de l'Environnement et de la
Biodiversit'e) and the Ecoles Doctorales SIBAGHE and I2S of
Montpellier. |
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| Abstract： |
The goal of this paper is to study the mathematical properties of a
new model of soil carbon dynamics which is a reaction-diffusion
system with a chemotactic term, with the aim to account for the
formation of soil aggregations in the bacterial and microorganism
spatial organization (hot spot in soil). This is a spatial and
chemotactic version of MOMOS (Modelling Organic changes by
Micro-Organisms of Soil), a model recently introduced by M. Pansu
and his group. The authors present here two forms of chemotactic
terms, first a ``classical'' one and second a function which
prevents the overcrowding of microorganisms. They prove in each case
the existence of a nonnegative global solution, and investigate its
uniqueness and the existence of a global attractor for all the
solutions. |
Keywords： |
Soil organic carbon dynamics, Reaction-Diffusion-Advection system,Positive weak solutions, Periodic weak solutions |
Classification： |
35B09, 35B10, 35D30, 35K51, 35Q92 |
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