In some papers we proposed a geometric formulation of continuum mechanics, where a continuum body is seen as a suitable differentiable fiber bundle $ C$ on the Galilean space-time $ M$, beside a differential equation of order $ k$, $ E_k(C)$, on $ C$ and the assignement of a frame $ \psi$ on $ M$. In the present paper we apply this general theory to some incompressible fluids. The scope is to demonstrate that also for these more simple materials our theory is a suitable tool in order to understand better the fundamental principles of continuum mechanics.

Geometrodynamics of some non-relativistic incompressible fluids / Prastaro, Agostino. - In: STOCHASTICA. - ISSN 0210-7821. - STAMPA. - 2:3(1979), pp. 15-31.

Geometrodynamics of some non-relativistic incompressible fluids.

PRASTARO, Agostino
1979

Abstract

In some papers we proposed a geometric formulation of continuum mechanics, where a continuum body is seen as a suitable differentiable fiber bundle $ C$ on the Galilean space-time $ M$, beside a differential equation of order $ k$, $ E_k(C)$, on $ C$ and the assignement of a frame $ \psi$ on $ M$. In the present paper we apply this general theory to some incompressible fluids. The scope is to demonstrate that also for these more simple materials our theory is a suitable tool in order to understand better the fundamental principles of continuum mechanics.
1979
Geometry of incompressible fluids; Dynamical symmetries; Bundle of geometric objects; Symmetry classiification of materials.
01 Pubblicazione su rivista::01a Articolo in rivista
Geometrodynamics of some non-relativistic incompressible fluids / Prastaro, Agostino. - In: STOCHASTICA. - ISSN 0210-7821. - STAMPA. - 2:3(1979), pp. 15-31.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/34282
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