Mathematical Modelling in Applied Sciences

Agneta M. Balint¹ and Stefan Balint²

¹Department of Physics, West University of Timisoara, Bulv. V. Parvan 4, 300223 Timisoara, Romania

²Department of Computer Science, West University of Timisoara, Bulv. V. Parvan 4, 300223 Timisoara, Romania.

Corresponding author: agneta.balint@e-uvt.ro; stefan.balint@e-uvt.ro

Abstract.

Mathematical description of the Real World phenomena is objective if it is independent on the observer. That is, it is possible to reconcile observation of phenomena into a single coherent description of it. This requirement was highlighted by Galileo Galilee (1564-1642), Isaac Newton (1643-1727), Albert Einstein (1879-1955) in the context of mathematical description of mechanical movement: “The mechanical event is independent on the observer “.

The majority of mathematical descriptions reported in the literature are objective. However, in the literature, there are a significant number of mathematical descriptions, which are nonobjective, and the number increases. The problem with nonobjective description is that different observer obtain different results and is not clear which result is correct.

The goal of this talk is to present some nonobjective mathematical descriptions in mechanics, elasticity, fluid mechanics, gas dynamics, mass transport, electric charge transport, neural networks etc.

Keywords: Mathematical description; Objective description; Nonobjective description.