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Sectorial Approach of the Gradient Observability of the Hyperbolic Semilinear Systems Intern and Boundary Cases

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Applied Mathematics 2016年第12期7卷 1326-1339页

作者： adil khazari Ali Boutoulout Laboratory of Modeling Analysis & Computer Science (MACS) Department of Mathematics and Computer Science Faculty of Sciences Moulay Ismail University Meknes Morocco

The aim of this paper is to study the notion of the gradient observability on a subregion w of the evolution domain W and also we consider the case where the subregion of interest is a boundary part of the system evolution domain for the class of semilinear hyperbolic systems. We show, under some hypotheses, that the flux reconstruction is guaranteed by means of the sectorial approach combined with fixed point techniques. This leads to several interesting results which are performed through numerical examples and simulations.

关键词： Distributed Systems Semilinear Hyperbolic Systems Boundary Reconstruction Regional Boundary Gradient Observability Regional Gradient Observability Gradient Observability Fixed Point Sectorial Operator

Gradient Observability for Semilinear Hyperbolic Systems: Sectorial Approach

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Intelligent Control and Automation 2014年第3期5卷 170-181页

作者： adil khazari Ali Boutoulout TSI Team MACS Laboratory Department of Mathematics & Computer Faculty of Sciences Moulay Ismail University Meknes Morocco

The aim of this work is to study the notion of the gradient observability on a subregion?ω of the evolution domain?Ω for a class of semilinear hyperbolic systems. We show, under some hypothesis, that the gradient reconstruction is achieved following sectorial approach combined with fixed point techniques. The obtained results lead to an algorithm which can be implemented numerically.

关键词： Distributed Systems Hyperbolic Systems Gradient Reconstruction Regional Observability Fixed Point Sectorial Operator

NUMERICAL SIMULATION OF GROUNDWATER DYNAMICS FOR SONGHUAJIANG RIVER VALLEY IN CHINA

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Journal of Hydrodynamics 2004年第3期16卷 332-335页

作者： adil Elkrail College of Water Resources and Environment

The study area was designed and constructed, based on the simplification of aconceptual model, to develop a three-dimensional groundwater flow model for simulation oftwo-layers system. Finite difference groundwater flow model was constructed for the CentralSonghuajiang River alluvial plain in Northeast China, with the coverage of 786. 6km^2. The gridnetworks with a spacing of 474. 4m by 509. 5m were used to cover the model area. The trial-and-errortechnique was used to calibrate the model. The sensitivity of the simulations to the modelparameters was studied -and the most sensitive parameters that controlling the residual headsdistribution in the Songhuajiang River valley were defined.

关键词： groundwater simulation model sensitivity calibration

CONSERVATION LAWS FOR THE (1+2)-DIMENSIONAL WAVE EQUATION IN BIOLOGICAL ENVIRONMENT

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Acta Mathematica Scientia 2013年第5期33卷 1255-1268页

作者： adil JHANGEER Deanship of Educational Services Preparatory Year Unit Al-Qassim University

The derivation of conservation laws for the wave equation on sphere, cone and flat space is considered. The partial Noether approach is applied for wave equation on curved surfaces in terms of the coefficients of the first fundamental form （FFF） and the partial Noether operator＇s determining equations are derived. These determining equations are then used to construct the partial Noether operators and conserved vectors for the wave equation on different surfaces. The conserved vectors for the wave equation on the sphere, cone and fiat space are simplified using the Lie point symmetry generators of the equation and conserved vectors with the help of the symmetry conservation laws relation.

关键词： partial Noether operators first fundamental form (FFF) conservation laws

On stability behaviors of 5D M-theory black objects

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Communications in Theoretical Physics 2024年第5期76卷 94-101页

作者： adil Belhaj Abderrahim Bouhouch Departement de Physique Equipe des Sciences de la matiere et du rayonnementESMaR Faculte des SciencesUniversite Mohammed V de RabatRabatMorocco

Using N=2 supergravity formalism,we investigate certain behaviors of five-dimensional black objects from the compactification of M-theory on a Calabi-Yau *** manifold has been constructed as the intersection of two homogeneous polynomials of degrees(ω+2,1)and(2,1)in a product of two weighted projective spaces given by WP^(4)(ω,1,1,1,1)×P^(1).First,we determine the allowed electric charge regions of the BPS and non BPS black holes obtained by wrapping M2-branes on appropriate two cycles in such a proposed Calabi-Yau *** that,we calculate the entropy of these solutions which takes a maximal value corresponding to ω=1 defining the ordinary projective space P^(4).For generic values of ω,we show that the non BPS states are ***,we conduct a similar study of five-dimensional black *** the allowed magnetic charge regions of the BPS and non BPS black stringy solutions derived from M5-branes on dual divisors,we calculate the tension taking a minimal value for P^(4).By determining the recombination factor,we show that the non-BPS black string states are stable in the allowed regions in the magnetic charge space.

关键词： M-theory Calabi-Yau manifolds black holes black strings stability behaviors

Vibrational frequency analysis of finite elastic tube filled with compressible viscous fluid

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Acta Mechanica Solida Sinica 2017年第4期30卷 435-444页

作者： Ilyess Mnassri adil El Baroudi Arts et métiers ParisTech

The vibrational frequency analysis of finite elastic tube filled with compressible viscous fluid has received plenty of attention in recent years. To apply frequency analysis to defect detection for example, it is necessary to investigate the vibrational behavior under appropriate boundary conditions. In this paper, we present a detailed theoretical study of the three dimensional modal analysis of compressible fluid within an elastic cylinder. The dispersion equations of flexura], torsional and longitudinal modes are derived by elastodynamic theory and the unsteady Stokes equation. The symbolic software Mathematica is used in order to find the coupled vibration frequencies. The dispersion equation is deduced and analytically solved. The finite element results are compared with the present method for validation and an acceptable match between them are obtained.

关键词： Frequency analysis Compressible Stokes flow Coupled vibration Elastodynamic

Entropy generation analysis for the peristaltic flow of Cu-water nanofluid in a tube with viscous dissipation

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Journal of Hydrodynamics 2017年第1期29卷 135-143页

作者： Noreen Sher Akbar adil Wahid Butt DBS&H CEMENational University of Sciences and TechnologyIslamabadPakistan DBS&H MCENational University of Sciences and TechnologyIslamabadPakistan

The purpose of the current investigation is to examine the influence of different physical parameters on the entropy gene- ration. The entropy generation number due to heat transfer and fluid friction is formulated. The velocity and temperature distributions across the tube are presented along with pressure attributes. Exact analytical solution for velocity and temperature profile is obtained. It is found that the entropy generation number attains high values in the region close to the walls of the tube, while it falls to low values near the center of the tube.

关键词： Entropy generation heat transfer nanofluid Cu-water uniform robe

Influence of Tb on easy magnetization direction and magnetostriction of ferromagnetic Laves phase GdFe_2 compounds

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Chinese Physics B 2016年第9期25卷 452-457页

作者： adil Murtaza 杨森周超宋晓平 School of Science MOE Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed MatterState Key Laboratory for Mechanical Behaviour of MaterialsXi'an Jiaotong University

The crystal structure,magnetization,and spontaneous magnetostriction of ferromagnetic Laves phase Gd Fe2 compound have been *** resolution synchrotron x-ray diffraction（XRD） analysis shows that Gd Fe2 has a lower cubic symmetry with easy magnetization direction（EMD） along [100] below Curie temperature *** replacement of Gd with a small amount of Tb changes the EMD to [111].The Curie temperature decreases while the field dependence of the saturation magnetization（Ms） measured in temperature range 5–300 K varies with increasing Tb *** Hc increases with increasing Tb concentration and decays exponentially as temperature *** anisotropy in Gd Fe2 is so weak that some of the rare-earth substitution plays an important role in determining the easy direction of magnetization in GdFe_*** calculated magnetostrictive constant λ100 shows a small value of 37×10^（-6）.This value agrees well with experimental data 30×10^（-6）.Under a relatively small magnetic field,GdFe_2 exhibits a V-shaped positive magnetostriction *** the field is further increased,the crystal exhibits a negative magnetostriction *** phenomenon has been discussed in term of magnetic domain ***,magnetostriction increases with increasing Tb *** work leads to a simple and unified mesoscopic explanation for magnetostriction in *** may also provide insight for developing novel functional materials.

关键词： crystal structure magnetic anisotropy lattice distortion magnetostriction

Entropy Generation Analysis in Convective Ferromagnetic Nano Blood Flow Through a Composite Stenosed Arteries with Permeable Wall

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Communications in Theoretical Physics 2017年第5期67卷 554-560页

作者： Noreen Sher Akbar adil Wahid Butt DBS&H CEME National University of Sciences and Technology Islamabad Pakistan DBS&H MCE National University of Sciences and Technology Islamabad Pakistan

The study of heat transfer is of significant importance in many biological and biomedical industry *** investigation comprises of the study of entropy generation analysis of the blood flow in the arteries with permeable walls. The convection through the flow is studied with compliments to the entropy generation. Governing problem is formulized and solved for low Reynold's number and long wavelength approximations. Exact analytical solutions have been obtained and are analyzed graphically. It is seen that temperature for pure water is lower as compared to the copper water. It gains magnitude with an increase in the slip parameter.

关键词： ferromagnetic Nano blood flow heat transfer permeable wall magnetic field entropy