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. UgoliniUltimo
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.
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