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L∞-Bounds of Solutions for Strongly Nonlinear Elliptic Problems with Two Lower Order Terms
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作者 Youssef Akdim Mohammed Belayachi Mostafa E1 Moumni 《Analysis in Theory and Applications》 CSCD 2017年第1期46-58,共13页
In this work, we will prove the existence of bounded solutions m W0' (f) N L (fl) for nonlinear elliptic equations - div(a(x,u, Vu)) +g(x,u,Vu) + H(x, Vu) = f, where a, g and H are Carath6odory function... In this work, we will prove the existence of bounded solutions m W0' (f) N L (fl) for nonlinear elliptic equations - div(a(x,u, Vu)) +g(x,u,Vu) + H(x, Vu) = f, where a, g and H are Carath6odory functions which satisfy some conditions, and the rizht hand side f belongs to W-l'q (Ω). 展开更多
关键词 L∞-estimate nonlinear elliptic equations REARRANGEMENT Sobolev spaces.
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Simple and Multi Linear Regression Model of Verbs in Quran
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作者 Abdelkrim El Mouatasim 《American Journal of Computational Mathematics》 2018年第1期68-77,共10页
This paper mainly presented a good simple and multi-linear regression model of verbs in the Quran book. This model, gives an analysis for the influence to frequency of words with the form (—un, ---) made by the frequ... This paper mainly presented a good simple and multi-linear regression model of verbs in the Quran book. This model, gives an analysis for the influence to frequency of words with the form (—un, ---) made by the frequency of plural present verbs (t—un, ---) or (y—un, ---), and models, and the relationship between independent variables and dependent variable by fitting a linear equation to the observed data with simple linear regression model. The matlab function is used for finding the parameters of the linear regression model and plotting the fits. The results show that the parameters of the model are one vector (1, 1) and mean of dataset is (6, 7). Its corresponding to the verb with input is frequency of the verb they enter and the frequency of enter (yadkolun ?dakilun), also other 17 points exist in the line and in the dataset of 387 verbs and their derivate verbs in Quran. The name of Allah () showed when we use tree variables and plot it in 3D with option “Show Text” for a multi regression model. 展开更多
关键词 Linear Regression TEXT Mining Quran STATISTICS Matlab ARABIC GRAMMAR Optimization Computation LINGUISTICS
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Periodic Solutions of Integro-Differential Equations
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作者 Bahloul Rachid 《Advances in Pure Mathematics》 2022年第3期125-135,共11页
The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2π) with the periodic condition x(0) = x(2π) , where a ∈ L<sup>1</sup> (R<sub>+&... The aim of this work is to study the existence of periodic solutions of integro-differential equations , (0 ≤ t ≤ 2π) with the periodic condition x(0) = x(2π) , where a ∈ L<sup>1</sup> (R<sub>+</sub>). Our approach is based on the M-boundedness of linear operators B<sup>s</sup><sub>p,q</sub>-multipliers and some results in Besov space. 展开更多
关键词 Integro-Differential Equations Bsp q-Multipliers Besov Space
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Thermoelastohydrodynamic Behavior of a Journal Bearing with Turbulent Flow
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作者 Aziz Ouadoud Otman Benmahjoub 《Journal of Mechanics Engineering and Automation》 2019年第7期230-235,共6页
Turbulence is an irregular fluid motion in which the various flow properties such as velocity and pressure show random variations with time and position.A number of authors proposed different solutions e.g.for pressur... Turbulence is an irregular fluid motion in which the various flow properties such as velocity and pressure show random variations with time and position.A number of authors proposed different solutions e.g.for pressure distribution,temperature prediction and Thermo-Hydrodynamic(THD)analyses.In a fluid film bearing,the pressure in the oil film satisfies the Reynolds equation with a variation in the thickness of the lubricating film.In the presented cases of fluid-structure interaction analyses,all important phenomena accompanying bearing operation are considered,e.g.lubricant flow,structure movements and their deformations as well as heat transfer in case of thrust bearing.In this paper,the authors have developed an empirical relationship to determine the effect of lubrication when considering thermoelastohydrodynamic(TEHD)lubrication with turbulent flow.The critical point of this work is to import the matrix data(the pressure and temperature fields...)from the fluid domain to the internal surface of the bearing with a precision of the mesh especially in the contact surface.The results are presented in the median plane as a function of the bearing angle.A parametric study deals with the influence of rotation speed and the type of turbulence model on the pressure,temperature,deformation and stress intensity fields. 展开更多
关键词 TEHD journal bearing computational fluid dynamics(CFD)
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Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space
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作者 YOUSSEF Akdim CHAKIR Allalou NEZHA El gorch 《Journal of Partial Differential Equations》 CSCD 2015年第3期225-252,共28页
This article is devoted to study the existence of renormalized solutions for the nonlinear p (x)-parabolic problem in the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity cond... This article is devoted to study the existence of renormalized solutions for the nonlinear p (x)-parabolic problem in the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition. 展开更多
关键词 Weighted variable exponent Lebesgue Sobolev space Young's inequality renormal-ized solution parabolic problems.
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Existence and Regularity of Solution for Strongly Nonlinear p(x)-Elliptic Equation with Measure Data
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作者 HASSIB Moulay Cherif AKDIM Youssef +1 位作者 AZROUL Elhoussine BARBARA Abdelkrim 《Journal of Partial Differential Equations》 CSCD 2017年第1期31-46,共16页
The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on Ω, with a right-hand side measure, where Ω is a bounded open set of RN, N ... The first part of this paper is devoted to study the existence of solution for nonlinear p(x) elliptic problem A(u) =u in Ω, u = 0 on Ω, with a right-hand side measure, where Ω is a bounded open set of RN, N ≥ 2 and A (u) = -div(a (x, u, u)) is a Leray-Lions operator defined from W 0 1,p(x) (Ω) in to its dual W-1,p'(x) (Ω). However the second part concerns the existence solution, of the following setting nonlinear elliptic problems A(u)+g(x,u, u) = u in Ω, u = 0 on Ω. We will give some regularity results for these solutions. 展开更多
关键词 Sobolev spaces with variable exponents strongly nonlinear p(x)-elliptic equations with measure data regularity.
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