Abstract:
This research consists of a numerical investigation of coupled heat and mass transfers by natural convection during water evaporation in a vertical channel. The two channel walls were symmetrically heated by a uniform flux density. One wall is partially wetted by an extremely thin water film and the other is dry. The partially humid plate is divided into 2N with equal lengths being alternatively wet and dry zones. The results are reported in terms of local Sherwood number, the inlet velocity and evaporative rate for different wet zone position and for different wet number zones. However, the mass transfer is extremely influenced by the number of the wetted zones and their positions. The evaporative rate is more intense when the wetted zone is situated at the channel exit. Finally, it is observed that the evaporation is intensified by increasing the number of wetted zones.

Abstract:
The present study focuses on a numerical investigation of steady conjugated heat and mass transfers by forced convection in an externally heated or insulated channel. One wall is partially wetted by an extremely thin water film, while the other is dry and impermeable. The partially humid plate is divided into 2.n equal regions, which are alternately humid and dry zones. The effect of the number of wetted zones and their positions on the flow, on the heat and mass transfers is analysed. The results are reported in terms of axial distribution of wall temperature, relative heat fluxes and evaporative rate for different wetted zone positions. It is noticed that the change of the wetted zone position has no significant effect on the moist air flow. However, the heat and mass transfers are extremely influenced by the presence of the wetted zones and their positions. As the condition of an insulated channel, the evaporative rate is more intense when the wetted zone is situated at the channel entrance. In case of the condition of a heated wall channel, the situation is generally inversed. It is also shown that there exists a critical value for the density heat flux from which the behaviour of the evaporative rate is reversed. Finally, it is noticed that the evaporation is intensified by increasing the number of humid zones.

Abstract:
Il s’agit de rendre hommage à tous les mouvements pacifiques qui ont su faire face aux pires tyrannies à travers monde. Qu’il s’agisse des philosophes du Moyen-age ou de la jeunesse arabe actuelle, c’est d’un commun accord de révolte pour la dignité et pour la liberté de penser. Armés du seul libre pensé, ils ont su déstabiliser les lois de la pensée unique qui a battu sa tente dans le monde arabe depuis fort longtemps. Ibn Tufayl, philosophe du XIIème siècle, dont l’ouvrage a suscité l’intérêt des plus grands esprits des siècles des lumières, tel que Spinoza, J.J. Rousseau et autres, nous a laissé une uvre magistrale dans laquelle seul l’esprit humain est porté au sommet de la gloire. Les artisans de la “révolution du jasmin ont fait en sorte que l’exhalaison de leur mouvement embaume le monde entier par la fraicheur de leur esprit, avec un art et une manière exemplaires. Un rapprochement était donc inévitable pour montrer que l’esprit arabe a toujours été animé par un idéal de sagesse pr nant une philosophie de vie qui va avec l’intérêt de l’homme, contre toute forme d’oppression.

Abstract:
The way of the translation is, generally speaking, very thorny, difficult to access and leading nowhere not to say impossible. Impossibility not only bound to the distrust which we have towards the translator but also strictly bound to the nature of the task, especially when it is about the translation of a religious text and in this case about the Koran. Besides the linguistic correspondence and cultural of the text, there are, in fact, so many other factors to be considered: the history of the text, its impact at the time of its appearance on the individuals, even on the whole peoples, its impact on the cultural and religious life in the middle age. The orientation stemming from the translation would be blocked not at all, therefore, in front of expectations of the individuals whom addresses the translation and show the influence whether the translation, however small it is, can have on the reaction of these same persons.

Abstract:
In this article we give an extention of the L^2-theory of anisotropic singular perturbations for elliptic problems. We study a linear and some nonlinear problems involving L^p data (1

Abstract:
We introduce first weighted function spaces on Rd using the Dunkl convolution that we call Besov-Dunkl spaces. We provide characterizations of these spaces by decomposition of functions. Next we obtain in the real line and in radial case on Rd weighted Lp-estimates of the Dunkl transform of a function in terms of an integral modulus of continuity which gives a quantitative form of the Riemann-Lebesgue lemma. Finally, we show in both cases that the Dunkl transform of a function is in L1 when this function belongs to a suitable Besov-Dunkl space.

Abstract:
In this article we study the asymptotic behavior, of the solution of a nonlinear elliptic, anisotropic singular perturbations problem in cylindrical domain, the limit problem is given and strong convergences are proved, we also give an application to intergo-differential problems.

The purpose of
this paper is to experimentally demonstrate the existence of the bias of over-confidence
as a human psychological bias. This bias was measured by three methods: the estimation
interval, the frequency estimation method and the method of question with two answer
choices. The estimation interval method finds a very wide bias compared to the other
two methods, but overconfidence persists in the other two methods at lower levels.
In the first experiment, monetary incentives have exacerbated the over-confidence
because of the given compensation. This system has demonstrated that there is a
strong link between over-confidence and risk taking. The second experiment that
used the method of question with two answer choices was given a different pay system
and it was expected that overconfidence will be reduced by monetary incentives but
the results show that the bias is not significantly reduced by these new monetary
incentives. Similarly, the iteration that was made during the first experiment did
not significantly reduce the bias.

Abstract:
We establish estimates of the Dunkl translation of the characteristic function χ[−ɛ,ɛ], ɛ>0, and we prove that the uncentered maximal operator associated with the Dunkl operator is of weak type (1,1). As a consequence, we obtain the Lp-boundedness of this operator for 1

Abstract:
We give, for , weighted -inequalities for the Dunkl transform, using, respectively, the modulus of continuity of radial functions and the Dunkl convolution in the general case. As application, we obtain, in particular, the integrability of this transform on Besov-Lipschitz spaces. 1. Introduction Dunkl theory is a far reaching generalization of Euclidean Fourier analysis. It started twenty years ago with Dunkl’s seminal work [1] and was further developed by several mathematicians (see [2–6]) and later was applied and generalized in different ways by many authors (see [7–11]). The Dunkl operators are commuting differential-difference operators , . These operators, attached to a finite root system and a reflection group acting on , can be considered as perturbations of the usual partial derivatives by reflection parts. These reflection parts are coupled by parameters, which are given in terms of a nonnegative multiplicity function . The Dunkl kernel has been introduced by Dunkl in [12]. For a family of weight functions invariant under a reflection group , we use the Dunkl kernel and the weighted Lebesgue measure to define the Dunkl transform , which enjoys properties similar to those of the classical Fourier transform. If the parameter then , so that becomes the classical Fourier transform and the , , reduce to the corresponding partial derivatives , (see next section, Remark 1). The classical Fourier transform behaves well with the translation operator , which leaves the Lebesgue measure on invariant. However, the measure is no longer invariant under the usual translation. Trimèche has introduced in [6] the Dunkl translation operators , , on the space of infinitely differentiable functions on . At the moment an explicit formula for the Dunkl translation of a function is unknown in general. However, such formula is known when the function is radial (see next section). In particular, the boundedness of is established in this case. As a result one obtains a formula for the Dunkl convolution . An important motivation to study Dunkl operators originates from their relevance for the analysis of quantum many body systems of Calogero-Moser-Sutherland type. These describe algebraically integrable systems in one dimension and have gained considerable interest in mathematical physics (see [13]). Let be a function in , , where denote the space with the weight function associated with the Dunkl operators given by with a fixed positive root system (see next section). The modulus of continuity of first order of a radial function in is defined by where is the unit