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A mathematical model for unsteady mixed flows in closed water pipes
(Science China Mathematics, 2012-12-31)
We present the formal derivation of a new unidirectional model for unsteady mixed flows in nonuniform closed water pipes. In the case of free surface incompressible flows, the FS-model is formally obtained, using formal ...
Shallow-shell models by Γ-convergence
(Mathematics and Mechanics of Solids, 2012-12-31)
In this paper we derive, by means of Γ-convergence, the shallow-shell models starting from non-linear three-dimensional elasticity. We use the approach analogous to the one for shells and plates. We start from the minimization ...