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
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
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
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
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
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
文摘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).
文摘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.
文摘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.
文摘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.
文摘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.
文摘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.