Mathematical Modelling in Applied Sciences

Dear Colleagues,

A mathematical description of a real-world phenomenon is objective if it is independent of the observer. That is, it is possible to reconcile observation of phenomena with a single coherent description of it. This requirement was highlighted by Galileo Galilee (1564–1642), Isaac Newton (1643–1727), and Albert Einstein (1879–1955) in the context of the mathematical description of mechanical movement: “The mechanical event is independent of the observer”.

The majority of mathematical descriptions reported in the literature are objective. However, there are also descriptions that are nonobjective. For example, descriptions that use Caputo or Riemann-Liouville fractional order derivatives, have integral representation on a finite interval, and describe a constitutive law, elastic phenomena, wave propagation, fluid flow, or molecular diffusion are nonobjective.

The goal of this Special Issue is to publish contributions revealing nonobjective mathematical descriptions in mechanics and explaining how the reported results have to be interpreted by the reader.

Prof. Stefan Balint
Guest Editor

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