INTRINSIC FLUID SHELL WITHOUT GEOMETRICAL APPROXIMATION

We introduce a geometrical exact shell modeling for a viscous stationn ary fluid in a tubular domain with sticking boundary conditions on the lateral walls. We adopt the intrinsic geometry view point and we give exact expressions for the geometrical terms involving the boundary cu rvatures. We introduce a tensorial notation which is implemented via f ormal computational tools. We derive exact expressions for the bilinea r forms of the linearized problems. (C) Academie des Sciences/Elsevier , Paris.