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.
Basic equations of uid dynamics treated by pseudo-analysis / E., Pap; Vivona, Doretta. - In: ACTA POLYTECHNICA HUNGARICA. - ISSN 1785-8860. - STAMPA. - 9:2(2012), pp. 5-23.
Basic equations of uid dynamics treated by pseudo-analysis
VIVONA, Doretta
2012
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.