Since the Industrial Revolution, humanity has been intensifying burning of fossil fuels and as a consequence, average temperature on Earth increasing. The 20th century was warmest future prospects are not favorable, that is, even higher temperatures expected. This demonstrates importance studies subject, mainly to predict possible environmental, social economic consequences. objective this work...

Continental River Dynamics (CRD) is herein defined as modelling the flow dynamics in all channels of a continental-scale river basin using the physics-based Saint-Venant equations. At the boundary of hydraulics and hydrology, CRD requires significant collaborative efforts to make new progress. Six constraints and seven challenges are identified in the areas of dynamics, dimensionality, resoluti...

We prove existence and asymptotic stability of the stationary solution for compressible Navier-Stokes equations isentropic gas dynamics with a density dependent diffusion in bounded interval. present necessary conditions to be imposed on boundary data which ensure uniqueness steady state, we subsequent investigate its properties by means construction suitable Lyapunov functional system. The Sai...

We study tracking control for a nonlinear moving water tank system modelled by the linearized Saint-Venant equations, where output is given position of and input force acting on it. For reference signal, objective that error evolves within pre-specified performance funnel. Exploiting recent results in funnel control, this can be achieved showing inter alia system's internal dynamics are bounded...

Remi A. Carmigniani1,†, Michel Benoit2, Damien Violeau3 and Morteza Gharib4 1Saint-Venant Hydraulics Laboratory, Joint Research Unit EDF – Cerema – Ecole des Ponts, 78401 Chatou, France 2Institut de Recherche sur les Phénomènes Hors-Equilibre (IRPHE, UMR 7342), Aix-Marseille Université, CNRS, Centrale Marseille, 13013 Marseille, France 3EDF and Saint-Venant Hydraulics Laboratory, Joint Research...

In this paper we apply the method proposed in our previous paper [Int. J. Solids Struct. 40(13–14) (2003) 3293] to quantitatively estimate the violation of Saint-Venant s principle in the problem of flexural vibration of a two-dimensional strip. A probabilistic approach is used to determine the relative magnitude of the penetrating stress state and the results of computations are presented as a...

We study by a combination of numerical and analytical Evans function techniques the stability of solitary wave solutions of the St. Venant equations for viscous shallowwater flow down an incline, and related models. Our main result is to exhibit examples of metastable solitary waves for the St. Venant equations, with stable point spectrum indicating coherence of the wave profile but unstable es...

This paper deals with flood routing in rivers using neural networks. The unsteady river flow may be formulated in terms of two one-dimensional partial differential equations. These are the Saint Venant flow continuity and dynamic equations. Several methods of solution of these equations are known. These methods are based upon characteristics of equations, finite difference, finite element and f...