CHEJNE J, Farid. An approximation to setting up mathematical models for nature description. []. , 40, 155, pp.353-365. ISSN 0370-3908.  https://doi.org/10.18257/raccefyn.339.

A description of how everyone does abstractions to develop a mathematical model is presented; as well as the ability to describe the behaviour of nature processes dynamic when there are external perturbations. The aim of this work is to find the balance equation, starting from the classical Liouville equation on the microscopic scale until the balance equations on a macroscopic scale or Navier-Stokes equations. By dividing physical quantities such as velocity in two parts, one of which related to the average value and the other one with the fluctuation; it is possible to jump from one scale to another and reduces complexity. At this point, the complexity is constructed from simple units; therefore, the models are considered reality abstractions based on a mathematical equation formulated at different levels, both on time and space; as consequence, nature takes its shape due to the external influence, without forget the nature laws, by modifying the shape, adapting and looking for the less energy demand.

: Modelling; mult-scale; balance equations.

        · |     · |     · ( pdf )