We develop a second-order central-upwind scheme for the non-hydrostatic version of the Saint-Venant system recently proposed in [M.-O. Bristeau and J. Sainte-Marie, Discrete Contin. Dyn. Syst. Ser. B, 10 (2008), pp. 733–759]. The designed scheme is both well-balanced (capable of exactly preserving the “lake-at-rest” steady state) and positivity preserving. We then use the central-upwind scheme ...

Hydrological forecasting can provide the basis for dealing with the conflict between flood control and water use. This paper proposes a flood and sediment forecasting method for rivers by deriving an energy equation which describes the conservation of potential slope, kinetic slope, and friction slope of a river reach. The equation contains an additional term, the rate of change of stage, which...

This paper deals with the stability study of Partial Differential nonlinear Equation (PDE) of Saint-Venant. The proposed approach is based on the Multi-Models concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points. This method allows to describe the dynamic of this nonlinear system in infinite dimension over a wide operating range. A st...

The aim of this paper is to establish a few qualitative uncertainty principles for the windowed Opdam–Cherednik transform on weighted modulation spaces associated with transform. In particular, we obtain Cowling–Price's, Hardy's and Morgan's spaces. proofs results are based versions Phragmén–Lindlöf type result several complex variables properties Gaussian kernel Jacobi–Cherednik operator.

In this communication we analyze the nonlinear stability of pseudo-rigid motions constituted by similarity transformations which leave a point of the mechanical systems fixed. For this we apply the energy-momentum method to a class of relative equilibria formed by upright motions of a deformable Lagrangian top modelled by a Saint Venant-Kirchhoff material.

We study delamination in a sandwich panel due to transient finite plane strain elastic deformations caused by local water slamming loads and use the boundary element method to analyze motion of water and the finite element method to determine deformations of the panel. The cohesive zone model is used to study delamination initiation and propagation. The fluid is assumed to be incompressible and...

We propose the maximin support method, a novel extension of D'Hondt apportionment method to approval-based multiwinner elections. The is sequential procedure that aims maximize least supported elected candidate. It can be computed efficiently and satisfies (adjusted versions of) main properties original method: house monotonicity, population proportional representation. also establish close rel...