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Basic equations of uid dynamics treated by pseudo-analysis
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
Pseudo-analisi e ricerca di nuove classi di soluzioni per PDE
Lavori pubblicati:
ID134324, ID136740, ID13516
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