ON A ONE-DIMENSIONAL MATHEMATICAL MODEL RELATED TO SOIL BIOREMEDIATION
ELENA-ROXANA ARDELEANU âVasile Alecsandriâ University of BacÄu, Faculty of Sciences, Department of Mathematics and Informatics, Bacau, Romania, e-mail: rardeleanu@ub.ro
In this paper we present a mathematical model associated to a bioremediation process. We consider a one-dimensional soil composed of a single layer. In this bioremediation process the bacteria migrates by diffusion and chemotaxis, where the diffusion coefficient is supposed to be constant.
The mathematical model is given by a system of nonlinear partial differential equations. In order to study this system of equations, we use the perturbation method for small parameters. The existence and uniqueness of the solution is studied within the framework of the equations` evolution theory based on m-accretive operators.