Long term behaviour of singularly perturbed parabolic degenerated equation

In this paper we consider models for short-term, mean-term and long-term morphodynamics of dunes and megariples. We give an existence and uniqueness result for long term dynamics of dunes. This result is based on a time-space periodic solution existence result for degenerated parabolic equation that we set out. Finally the mean-term and long-term models are homogenized

Singularly perturbed degenerated parabolic equations and application to seabed morphodynamics in tided environment

In this paper we build models for short-term, mean-term and long-term dynamics of dune and megariple morphodynamics. They are models that are degenerated parabolic equations which are, moreover, singularly perturbed. We, then give an existence and uniqueness result for the short-term and mean-term models. This result is based on a time-space periodic solution existence result for degenerated parabolic equation that we set out. Finally the short-term model is homogenized

Mathematical Modeling and Optimal Control of Untrue Information : Dynamic SEIZ in Online Social Networks

We propose to model the phenomenon of the spread of a rumor in this paper. We manipulate a model that is based on SEIR model that specializes in spreading rumors. In the second part, we introduce a control strategy to fight against the diffusion of the rumor. Our main objective is to characterize the three optimal controls that minimize the number of spreaders, susceptibles who enter and spread the rumor, and skeptics. For that matter, using the maximum principle of Pontryagin, we prove the existence and give characterization of our controls. To illustrate the theoretical results obtained, numerical simulations are given to concretize our approach.Comment: 24 pages, 12 figure

A Survey of Fast Scalar Multiplication on Elliptic Curve Cryptography for Lightweight Embedded Devices

Elliptic curve cryptography (ECC) is one of the most famous asymmetric cryptographic schemes which offers the same level of security with much shorter keys than the other widely used asymmetric cryptographic algorithm, Rivest, Shamir, and Adleman (RSA). In ECC, the main and most heavily used operation is the scalar multiplication kP, where the scalar value k is a private integer and must be secured. Various methods for fast scalar multiplication are based on the binary/ternary representation of the scalar. In this chapter, we present various methods to make fast scalar multiplication on ECC over prime field for lightweight embedded devices like wireless sensor network (WSN) and Internet of Things (IoT)

Classification of Routing Algorithms in Volatile Environment of Underwater Wireless Sensor Networks

The planet earth is basically a planet of water with less than 30% land mass available for humans to live on. However, the areas covered with water are important to mankind for the various resources which have been proven to be valuable. Such resources are gas, oil, marine products which can be used as food, and other minerals. In view of the vast area in which these resources can be found, a network of sensors is necessary so that they can be explored. However, sensor networks may not be helpful in the exploration of these resources if they do not have a sufficiently good routing mechanism. Over the past few decades, several methods for routing have been suggested to address the volatile environment in underwater communications. These continue researches; have enhanced the performance along with time. Meanwhile, there are still challenges to deal with for a better and efficient routing of data packets. Large end-to-end delays, high error channel rates, limited bandwidth, and the consumption of energy in sensor network are some such challenges. A comprehensive survey of the various routing methods for the partially connected underwater communication environment are presented in this paper

Système mixte agriculture irriguée et élevage transhumant : l'enjeu autour de l'accès aux ressources foncières dans la moyenne vallée du fleuve Sénégal

In the development of the Senegal River Valley and more precisely irrigated agriculture, pastoralist populations put forward a set of strategies to strengthen family farms. Since the 1970-1980 drought crises the situation of nomadic livestock as well as sustainability challenges in the valley continues to deteriorate, due to the reduction of rangeland. This work aims to understand the survival strategies adopted by farmers to keep their farms viable. Survey work in 41 farm managers was used to analyze the logic of agricultural diversification and land capitalization among Fulani Walwalbé. To face to the expansion of Irrigated Village Perimeters, ranchers have chosen to strengthen their practice of irrigated agriculture to vary their sources of income and have better access to postharvest lands. Farmers in rural communities of Gamadji and Guede towns located in the middle valley are very present in irrigated production systems. In addition to the rain fed cereal production, the several modes of land tenure permit them to speculate on profitable horticulture, such as vegetable crops (tomato and onion). Irrigated agriculture also provides breeders the privilege to access to post- harvest lands. Their presence in the Waalo land is also a means of ensuring their traditional land rights on these lands. Thus the practice of irrigated agriculture meets financial and property logic. While farming practice does not allow Fulani herders have access to land, irrigated agriculture appears as a strategy to move away from land capitalization. The joint practice of irrigated agriculture and livestock transhumance has encouraged the emergence of an agro-pastoral area around Podor made of: golf recession, post-crop lands, water points, transhumance pathways.... However, transhumance movements remain the central practice among Fulani herders of the middle valley and long displacement periods still possible.Dans un contexte d’aménagement de la vallée du fleuve Sénégal et de développement de l’agriculture irriguée, les populations d’éleveurs mettent en avant un ensemble de stratégies afin de renforcer leurs exploitations familiales. En effet, depuis les crises de sécheresse des années 1970-1980, la situation de l’élevage transhumant dans la vallée ne cesse de se détériorer et sa pérennisation remise en cause, en raison de la réduction des parcours pastoraux. L’objectif de ce travail est de faire comprendre les stratégies de survie mises en application par les éleveurs pour maintenir leurs exploitations viables. Un travail d’enquête chez 41 chefs d’exploitations a permis d’analyser les logiques de diversification agricole et de capitalisation foncière chez les Peul Walwalbé. Pour face faire à l’expansion des Périmètres Irrigués Villageois, les éleveurs ont choisi de renforcer leur pratique de l’agriculture irriguée afin de varier leurs sources de revenus et d’avoir un meilleur accès aux parcours post-culturaux. Dans les communautés rurales de Gamadji et de Guédé village situées dans la moyenne vallée, les éleveurs sont très présents dans les systèmes de production irriguée. Plusieurs modes de tenures foncières leur permettent, en plus des cultures céréalières de décrues ou pluviales, de développer les spéculations maraîchères (tomate et oignon) plus rentables. L’agriculture irriguée offre aussi aux agro-éleveurs un accès privilégié aux parcours post-culturaux. Leur présence dans les terroirs du Waalo est aussi un moyen de garantir leur droit foncier traditionnel sur ces terres. Ainsi la pratique de l’agriculture irriguée répond à des logiques financières et foncières. Alors que la pratique d’élevage ne permet pas aux éleveurs Peul d’avoir accès à la terre, l’agriculture irriguée apparaît comme une stratégie détournée de capitalisation foncière. La pratique conjointe de l’agriculture irriguée et de l’élevage transhumant a permis l’émergence d’un territoire agropastoral autour du département de Podor composé: de parcours de décrue, de parcours post-culturaux, de points d’abreuvement sur fleuve, de piste de transhumance…. Pour autant, les mouvements de transhumance restent la pratique centrale chez les éleveurs Peul de la moyenne vallée et les déplacements de longues durées encore de mises

Topological Derivative for Shallow Water Equations

Coastal erosion is a major and growing environmental problem describing the movement of sand caused by tides, waves or currents. Several phenomena contribute to the significant advance of the sea. These include climate change, with rising sea levels due to the melting of ice at the Earth's poles, the amplification of the tidal effect, leading to the transport of large masses of sand, storms, etc. We contribute to this problem by using topological shape optimization techniques applied to an PDE describing coastal erosion. We use Shallow water equations as a model.Comment: 31 page