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Applications of pseudo-analysis in fluid dynamics

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2 Author(s)
Endre Pap ; Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia ; Doretta Vivona

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.

Published in:

IEEE 8th International Symposium on Intelligent Systems and Informatics

Date of Conference:

10-11 Sept. 2010