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Unformatted text preview: ( e t ) ds = ( n grad ) d 2 A Stokes for a vector eld: ( v e t ) ds = (rot v n ) d 2 A This results in: (rot v n ) d 2 A = 0 Ostrogradsky: ( n v ) d 2 A = (rot v ) d 3 A ( n ) d 2 A = (grad ) d 3 V Here, the orientable surface d 2 A is limited by the Jordan curve ds . 9.2 Conservation laws On a volume work two types of forces: 1. The force f on each volume element. For gravity holds: f = g . 2. Surface forces working only on the margins: t . For these holds: t = n T , where T is the stress tensor ....
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- Spring '10