Applications of pseudo-analysis in fluid dynamics

Endre Pap, Doretta Vivona

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we present some applications of pseudo-analysis in the theory of fluid mechanics. There is proved the monotonicity of the components of the velocity for the solutions of Euler equations. This help to prove the pseudo-linear superposition principle for Euler equations. The superposition principle is proven also for the Navier-Stokes equations with respect to two different pairs of pseudo-operations. It is proved that Stokes equations satisfy the pseudo-linear superposition principle with respect to a pair of pseudo-operations which are generated with the same function of one variable.

Original languageEnglish
Title of host publicationSIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics
Pages207-211
Number of pages5
DOIs
Publication statusPublished - Dec 30 2010
Event8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010 - Subotica, Serbia
Duration: Sep 10 2010Sep 11 2010

Publication series

NameSIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics

Other

Other8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010
CountrySerbia
CitySubotica
Period9/10/109/11/10

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ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

Cite this

Pap, E., & Vivona, D. (2010). Applications of pseudo-analysis in fluid dynamics. In SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics (pp. 207-211). [5647512] (SIISY 2010 - 8th IEEE International Symposium on Intelligent Systems and Informatics). https://doi.org/10.1109/SISY.2010.5647512