Basic equations of uid dynamics treated by pseudo-analysis

Endre Pap, Doretta Vivona

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Abstract

There is given an application of pseudo-analysis in the the- ory of uid mechanics. First, the monotonicity of the components of the velocity for the solutions of Euler equations is proven, which allows to obtain the pseudo-linear superposition principle for Euler equations. This principle is proven also for the Navier-Stokes equations but with respect to two dif- ferent pairs of pseudo-operations. It is shown 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
Pages (from-to)5-23
Number of pages19
JournalActa Polytechnica Hungarica
Volume9
Issue number2
Publication statusPublished - May 28 2012

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Keywords

  • Euler equations
  • Fluid mechanics
  • Navier-Stokes equations
  • Pseudo-linear superposition principle
  • Semiring
  • Stokes equations

ASJC Scopus subject areas

  • Engineering(all)

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