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Title:
Application
du Groupe de Renormalisation aux Equations de Réaction-Diffusion
Author:
M. Benhamou, L. Maklouf, L. El
Bermi
Abstract:
Dans cet article de revue, nous présentons
d’une manière simple les idées du Groupe
de Renormalisation ayant conduit au comportement asymptotique
en temps des solutions d’une classe d’équations
de réaction-diffusion de type parabolique.
Ces idées ont été appliquées,
avec grand succès, d’abord en Physique des
Particules, ensuite dans le contexte des Phénomènes
Critiques. Ce n’est pas un hasard de s’intéresser
à ce genre d’équations, car celles-ci
gèrent beaucoup de phénomènes naturels, en
relation avec la physique, la mécanique des
fluides, la thermique, les milieux poreux, les fronts
de diffusion, la chimie, la biologie, la botanique
et même l’économie. .
Title:
New Inversion Formulas for Discrete Radon Transform
Zn
Authors:
Ahmed Abouelaz
Abstract:
In [1,2], we have defined, and studied, the discrete
Radon transform on the lattice Zn. In this work,
we give a characterization of the range of the discrete
Radon transform of the Schwartz’s space S
(Zn) (see Theorems 3.5 and 3.7). By means of the
discrete support theorem (see [1,2], we prove also
a Paley -Wiener theorem for the discrete Radon transform
(see Theorems 3.4 and 3.5). Finally, we establish
the new inversion formulas for the discrete Radon
transform and its dual discrete Radon transform
Title:
Structures
k Complexes sur les Algèbres de Lie
Authors:
A.Awane, M. Bent Bah Cheikhouna
and E. Remm
Abstract:
In this work, we determine the Lie algebras endowed
with bi-invariant k-complex structure and also we
give the left invariant k-complex Lie algebras.
Title:
On Black Objects in Type IIA Superstring Theory on Calabi-Yau Manifolds
Authors:
Adil Belhaj
Abstract:
The compactification of 10D type IIA superstrings on n-dimensional Calabi-Yau
manifolds is discussed. In particular, a conjecture is given for type IIA p
-dimensional black object attractors corresponding to $AdS_{p+2}\times
S^{8-2n-p}$ horizon geometries.
Title:
A Local Propagation Model for Millimetric Waves
Authors:
A. Jraifi, A. Khafagi, A.El Rhalami, E.H Saidi
Abstract:
We propose a distribution for random rough surfaces in radio propagation channel.
The modeling takes into account environment local details which cannot be ignored at
millimetric waves; e.g high frequencies. The proposed radio propagation local model
is done for 60 GHz frequency and goes with the advent of the millimetric systems as
WLAN (Wireless Local Area Network) seen as a part of future 4G (Fourth generation)
of telecommunications.
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Title:
Systèmes
Extérieurs Symplectiques
Authors:
A. Awane, A. Chkiriba and M. Goze
Abstract:
We study the linear aspect of vectorial polarized
structures, or symplectic systems on a vector space.
We give a classification of these systems in dimension
< 4.
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Title:
Topological String on Local Elliptic Curve with Large
Complex Structure
Authors:
L.B Drissi, H. Jehjouh, E.H
Saidi
Abstract:
We develop a 2D U (1) gauged N = 2 supersymmetric
field theoretic realization of the local 2-torus O(m)
+O(-m)--->T2 with T2 in the large complex structure
limit. This field representation involves a gauge
invariant chiral superpotential and relies on thinking
about the compact base T2 as the toric boundary E
= DP2 of the complex projective plane P2. We also
give generalizations of this result for local genus
g-Riemann surfaces and higher complex dimensional
Calabi-Yau manifolds. Evidence for a topological tetravalent
vertex is discussed.
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Title:
A propos des Symétries de l’Equation
utt -(f(ux))x = 0
Authors: A. Ouhadan, E.H. El
Kinani, M. Rahmoune, A. Awane
Abstract:
Dans ce travail nous étudions la classification
de l’équation utt - (f(ux))x = 0. Nous
montrons que si la fonction f n’est pas une
fonction a±ne, l’équation n’admet
pas de symétries potentielles. Par contre,
si f est une fonction a±ne, la solution du
système déterminant les symétries
est obtenue. Par suite l’équation étudiée
possède bien des
symétries de type potentielles.
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Title:
Sur
Les Opérateurs de Gel’fand
Authors:
S. Kabbaj, A. Akhlidj
Abstract:
Dans ce travail, nous donnons une nouvelle approche
visant la généralisation de la théorie
des paires de Gel’fand et celle des mesures
de Gel’fand. Cette approche constitue une continuation
naturelle des travaux inaugurés par M. Akkouchi
([2] ; [3]), M. Ait Sibaha [1], A. Bakali ([4] ; [5]),
B. Bouykhalen [5], S. Kabbaj [15] et ELH. EL Qorachi
[11].
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Title:
Forme
d’Equilibre des Membranes Fluides à Une Dimension
Authors: A.
Bendouch, H. Kaidi and M. Benhamou
Abstract:
In this paper, we consider a fluid membrane in suspension
in a liquid that is
confined to two parallel plates. We assume that the
distance between the two plates
is small enough, when it is compared to the mean roughness
of the membrane. In
these conditions, the membrane may be regarded as
a closed (or open) fluctuating
curve in the two-dimensional Euclidean space (parallel
to the two plates). We first
derive the general curvature equation describing the
equilibrium geometrical form
of the one-dimensional membrane. Second, we determine
the expression of the force
experienced by the membrane. Such a force may be caused
by the liquid flow or by
an eventual interaction between the membrane and the
surface of capillaries. To do
calculations, use is made of Differential Geometry
of plan curves.
AJMP/0810[ ps, pdf]
:
Title: Integrable Systems: Bosonic and
Supersymmetric Cases
Authors: A. El Boukili, M.B. Sedra, A. Zemate
Abstract:
The main task of this work concerns integrable models and supersymmetric extensions of the Gelfand-Dickey algebra of pseudo
differential operators. The consistent and systematic study that
we perform consists in describing in detail the relation existing
between the algebra of super(pseudo-)differential operators on the
ring of superfields $u_{\frac{s}{2}}(z, \theta), s\in Z$ and the
higher and lower spin extensions of the conformal algebra. In
relation to integrable systems, the supersymmetric GD bracket play
a pioneering role as it gives in some sense a guarantee of
integrability of the associated non linear
supersymmetric systems.
AJMP/0811[ ps, pdf]
:
Title: Galaxy Formation: Peaks Densities and Proto-Haloes
Authors: El Yamani Diaf
Abstract:
We investigate the connection between the peak of the initial mass (z=50)
density smoothed with Gaussian window of radius $R_G=1h^{-1}$Mpc and the haloes
at present time traced back in time to their initial positions (proto-halo),
using a cosmological N-body simulation (GIF) with thousand
of haloes. We find that the alignation of the axes of Inertia
tensor for the peaks and the proto-haloes are correlated. This quantitative
allows to understand
the quantification of proto-haloes and peaks density and agrees with the peak model describing galaxy formation..
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