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.
Loffredo, M.I., Ugolini, S. (1996). Eulerian versus Lagrangian variational principles in stochastic mechanics. MECCANICA, 31(2), 195-206 [10.1007/BF00426260].
Eulerian versus Lagrangian variational principles in stochastic mechanics
LOFFREDO, MARIA IMMACOLATA;
1996-01-01
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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https://hdl.handle.net/11365/40348
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