Mathematical and numerical study of environmental pollution problems
| dc.contributor.author | LACHACHE, Mohammed | |
| dc.date.accessioned | 2024-11-23T17:39:29Z | |
| dc.date.available | 2024-11-23T17:39:29Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | In this thesis, we study mathematical models that describe the motion of non-reactive pollutants using shallow water equations. We begin by studying the motion of the flow height using a shallow water model. For this purpose, we utilize the traveling wave solutions to demonstrate theoretical results through Schauder’s and Banach’s fixed point theorems. In the second model, we add a transport equation to conduct an analysis of pollutant propagation. In the third part of our work, we study the coupled system of a regularized Saint-Venant system together with the transport equation to take into account the motion of pollutants within the flow; presenting theoretical results on its well-posedness, i.e we show the necessary and sufficient conditions for the derived model to be well posed. Based on a reliable finite difference scheme, we examine the discretization of the proposed models and the implementations, to provide numerical results and show the effective behavior of the phenomena. | |
| dc.format | ||
| dc.identifier.uri | https://dspace.univ-annaba.dz//handle/123456789/3678 | |
| dc.language.iso | en | |
| dc.publisher | Université Badji Mokhtar Annaba | |
| dc.subject | saint-venant system; shallow water model; transport equation; traveling wave solutions; finite difference method | |
| dc.title | Mathematical and numerical study of environmental pollution problems | |
| dc.title.alternative | Etude mathématique et numérique des problèmes de pollution environnementale | |
| dc.type | Thesis |