The Eulerian formalism versus the Lagrangian one is investigated within the framework of the variational principles in stochastic mechanics. Some suitable constraints are introduced in order to obtain rotational solutions to Nelson's equations. An enlarged Eulerian variational principle is proposed in order to cover the dissipative case described by general rotational equations.

Eulerian versus lagrangian variational principles in stochastic mechanics / M.I. Loffredo, S. Ugolini. - In: MECCANICA. - ISSN 0025-6455. - 31:2(1996), pp. 195-206. ((Intervento presentato al 12. convegno AIMETA tenutosi a Napoli nel 1995.

Eulerian versus lagrangian variational principles in stochastic mechanics

S. Ugolini
Ultimo
1996

Abstract

The Eulerian formalism versus the Lagrangian one is investigated within the framework of the variational principles in stochastic mechanics. Some suitable constraints are introduced in order to obtain rotational solutions to Nelson's equations. An enlarged Eulerian variational principle is proposed in order to cover the dissipative case described by general rotational equations.
variational principles; hydrodynamics; stochastic mechanics; continuum Mechanics
Settore MAT/07 - Fisica Matematica
Settore MAT/06 - Probabilita' e Statistica Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/380751
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