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Basic equations of uid dynamics treated by pseudo-analysis 2012 http://ezaposleni.singidunum.ac.rs/rest/sciNaucniRezultati/oai/record/2/2412 http://uni-obuda.hu/journal/Pap_Vivona_34.pdf E. Pap D. Vivona There is given an application of pseudo-analysis in the theory 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. article 9 2 5 23 1785-8860 Acta Polytechnica Hungarica