We consider a cylindrical three-dimensional body, made of a Saint Venant-Kirchhoff material, and we let its thickness go to zero. For a specific order of magnitude for the applied loads and under appropriate restrictions on the set of admissible deformations, we show that the almost-minimizers of the total energy converge toward deformations that minimize the nonlinear bending energy obtained b...

Abstract. We study a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic shell. The fluid motion is governed by the Navier-Stokes equations, while the shell is modeled by the nonlinear St. Venant-Kirchhoff constitutive law, and they are coupled together by continuity of displacement and traction (stress) along the moving mat...

Explicit boundary dissipative conditions are given for the exponential stability in L2-norm of onedimensional linear hyperbolic systems of balance laws ∂tξ + Λ∂xξ −Mξ = 0 over a finite interval, when the matrix M is marginally diagonally stable. The result is illustrated with an application to boundary feedback stabilisation of open channels represented by linearised Saint–Venant–Exner equation...

An overview is given of finite volume central schemes for the numerical solution of systems of conservation and balance laws. Well balanced central schemes on staggered grid for the Saint-Venant model or river flow are considered. A scheme which is well balanced for channels with variable cross section is introduced. Finally, a scheme which preserves non static equilibria is introduced, and som...

We describe and analyze an approach to the pure Neumann problem of three-dimensional linearized elasticity, whose novelty consists in considering the strain tensor field as the sole unknown, instead of the displacement vector field as is customary. This approach leads to a well-posed quadratic minimization problem of a new type, constrained by a weak form of the classical Saint Venant compatibi...

Sunto. Si considera uno spazio omogeneo X = (X, d,m) di dimensione ν ≥ 1 e una forma di Dirichlet locale regolare in L (X,m) . Si dimostra che se una disuguaglianza di Poincaré vale su ogni pseudo-sfera B (x,R) di X , con costanti caratteristiche locali c0 (x) e c1 (r), allora si ricava una stima della funzione di Green da sopra e da sotto. Il principio tipo Saint-Venant viene ottenuto in termi...

This article is devoted to the proof of the hydrodynamical limit from kinetic equations (including BGK-like equations) to multidimensional isentropic gas dynamics. It is based on a relative entropy method; hence the derivation is valid only before shocks appear on the limit system solution. However, no a priori knowledge on high velocity distributions for kinetic functions is needed. The case o...

Abstract An approach is presented for directly deriving a variable parameter Muskingum method from the St. Venant equations for routing floods in channels having any shape of prismatic cross-section and flow following either Manning's or Chezy's friction law. The approach also allows the simultaneous computation of the stage hydrograph corresponding to a given inflow or the routed hydrograph. T...