Debora Amadori

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Starting from the three-dimensional Newtonian and incompress-ible Navier-Stokes equations in a compliant straight vessel, we derive a reduced one-dimensional model by an averaging procedure which takes into consideration the elastic properties of the wall structure. In particular, we neglect terms of the first order with respect to the ratio between the(More)
We study a scalar integro-differential conservation law. The equation was first derived in [2] as the slow erosion limit of granular flow. Considering a set of more general erosion functions, we study the initial boundary value problem for which one can not adapt the standard theory of conservation laws. We construct approximate solutions with a fractional(More)
In this paper we study an integro-differential equation that arises in modeling slow erosion of granular flow. We construct piecewise constant approximate solutions, using a front tracing technique. Convergence of the approximate solutions is established through proper a priori estimates, which in turn gives global existence of BV solutions. Furthermore ,(More)
We consider a hyperbolic system of three conservation laws in one space variable. The system is a model for fluid flow allowing phase transitions; in this case the state variables are the specific volume, the velocity and the mass density fraction of the vapor in the fluid. For a class of initial data having large total variation we prove the global(More)
The ability of Well-Balanced (WB) schemes to capture very accurately steady-state regimes of non-resonant hyperbolic systems of balance laws has been thoroughly illustrated since its introduction by Greenberg and LeRoux [15] (see also the anterior WB Glimm scheme in [8]). This paper aims at showing, by means of rigorous C 0 t (L 1 x) estimates, that these(More)