Modeling of cross-diffusion systems

In this work, special properties of self-similar and asymptotic solutions of cross-diffusion equations are investigated. It is proved that there are parameter values for the problem and the values found are a numerical solution to the problem. The chosen system of equations expresses a variety of physical processes, for example: nonlinear heat distribution in an nonhomogeneous medium, system reactions-diffusion and heat-conducting processes, filtration of gases and liquids in nonlinear media using a source. One of the ways to solve a given problem is to find a self-similar or approximately self-similar solution and determine with their help the qualitative properties of the problem is to learn. In the process of studying the solution of the problem, the following results were obtained: for given nonlinear processes of thermal conductivity, a system of self-similar and recurrent self-similar solutions was found, special asymptotic states were observed for some solutions of the problem for properties, the process was visualized.

Ҳали таржима қилинмаган