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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.