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. ©2010 IEEE.
Applications of pseudo-analysis in fluid dynamics / Endre, Pap; Vivona, Doretta. - STAMPA. - 1:(2010), pp. 207-211. (Intervento presentato al convegno 8th IEEE International Symposium on Intelligent Systems and Informatics, SIISY 2010 tenutosi a Subotica; Serbia nel 10 September 2010 through 11 September 2010) [10.1109/sisy.2010.5647512].
Applications of pseudo-analysis in fluid dynamics
VIVONA, Doretta
2010
Abstract
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. ©2010 IEEE.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
