# Mathematical model of interaction between pollution and the environment

## Mathematical model of interaction between pollution and the environment

## Abstract

Abstract. In this paper, a mathematical model of the interaction of pollution with the environment

is formulated, taking into account the convective and diffusion processes of impurity propagation. A

model is proposed in the form of a boundary value problem for a two-component nonlinear parabolic

system. First, we prove the local existence and uniqueness of solutions. Next, we establish some a priori

Schauder-type estimates and, on their basis, prove the global existence and uniqueness of solutions.

## References

Zlatev, Z., Dimov, I.: Computational and Numerical Challenges in Environmental Modeling. Elsevier, Amsterdam (2006)

Aloyan A.E. Mathematical modelling of the interaction of gas species and aerosols in atmospheric dispersive systems // Rus. J. of Numer. Anal. and Math. Modelling. 2000. V. 15, N 1-4, P. 211-224.

Bratus, A., Mescherin, A., Novozhilov, A.: Mathematical models of interaction between pollutant and environment, Vest. MGU, Vych. Mat. Kybern. vol. 1, pp.23-28 (2001)

## Published

## How to Cite

*MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS*,

*1*(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/426