Geometrodynamics of some non-relativistic incompressible fluids.

Título inglés	Geometrodynamics of some non-relativistic incompressible fluids.
Título español	Geometrodinámica de algunos fluidos incompresibles no relativistas.
Autor/es	Pràstaro, Agostino
Organización	Dip. Mat. Univ. Calabria, Roges (Cosenza), Italia
Revista	0210-7821
Publicación	1979, 3 (2): 15-31, 4 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	In some previous papers [1, 2] we proposed a geometric formulation of continuum mechanics, where a continuous body is seen as a suitable differentiable fiber bundle C on the Galilean space-time M, beside a differential equation of order k, Ek(C), on C and the assignement of a frame Psi on M. This approach allowed us to treat continuum mechanics as a unitary field theory and to consider constitutive and dynamical properties in a more natural way. Further, the particular intrinsic geometrical framework allowed to utilize directly the formal theory of differential equations in order to obtain criteria of existence of solutions. In the present paper we apply this general theory to some incompressible fluids. The scope is to demostrate that also for these more simple materials our theory is a suitable tool in order to understand better the fundamental principles of continuum mechanics.
Clasificación UNESCO	120101
Palabras clave español	Medio continuo ; Dinámica de fluidos ; Fluidos incompresibles ; Modelo geométrico ; Topología algebraica
Código MathReviews	MR0556645
Código Z-Math	Zbl 0427.76003
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