In order to give an axiomatic description of continuum physics, a \textit{derivative space}, ${\it D}^k(V,W)$, is introduced which allows us to describe the derivative of order $ k$ of a differentiable map $ f:V\to W$ as section of the fiber bundle ${\it D}^k(V,W)$. \textit{Derivative operators} and \textit{functional differential operators} are seen as useful generalizations of usual differential operators. With this language we recognize a structural order to all physical entities which are characteristic in continuum physics.
Spazi derivativi e fisica del continuo in relativita' generale / Prastaro, Agostino. - In: ATTI DELLA ACCADEMIA DELLE SCIENZE DI TORINO. CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI. - ISSN 0001-4419. - STAMPA. - 14:(1980), pp. 289-292.
Spazi derivativi e fisica del continuo in relativita' generale.
PRASTARO, Agostino
1980
Abstract
In order to give an axiomatic description of continuum physics, a \textit{derivative space}, ${\it D}^k(V,W)$, is introduced which allows us to describe the derivative of order $ k$ of a differentiable map $ f:V\to W$ as section of the fiber bundle ${\it D}^k(V,W)$. \textit{Derivative operators} and \textit{functional differential operators} are seen as useful generalizations of usual differential operators. With this language we recognize a structural order to all physical entities which are characteristic in continuum physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
