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Direct and inverse source problems for degenerate parabolic equations
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Abstract<p>Degenerate parabolic partial differential equations (PDEs) with vanishing or unbounded leading coefficient make the PDE non-uniformly parabolic, and new theories need to be developed in the context of practical applications of such rather unstudied mathematical models arising in porous media, population dynamics, financial mathematics, etc. With this new challenge in mind, this paper considers investigating newly formulated direct and inverse problems associated with non-uniform parabolic PDEs where the leading space- and time-dependent coefficient is allowed to vanish on a non-empty, but zero measure, kernel set. In the context of inverse analysis, we consider the linear but ill-posed identification of a space-dependent source from a time-integral observation of the weighted main dependent variable. For both, this inverse source problem as well as its corresponding direct formulation, we rigorously investigate the question of well-posedness. We also give examples of inverse problems for which sufficient conditions guaranteeing the unique solvability are fulfilled, and present the results of numerical simulations. It is hoped that the analysis initiated in this study will open up new avenues for research in the field of direct and inverse problems for degenerate parabolic equations with applications.</p>
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Publication Date
Tue Mar 30 2021
Journal Name
Journal Of Economics And Administrative Sciences
Trends of Women's Economic Empowerment in Iraq for the Period 1990-2018
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This research aims to study the economic, social, and political reality of Iraqi women by identifying the obstacles and diagnosing their empowerment trends in various fields, assessing the extent of their participation in economic activity, and re-achieving balance between women and men by reducing the gender gap between them and reducing the percentage of female unemployment to the lowest possible level. Is achieved by enhancing confidence in Iraqi women by enacting laws and making decisions that allow them to access resources freely. The researcher used the descriptive and analytical method to deal with information and data related to the research topic over a specific period (1990-2018), using local, Arab, and international re

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Publication Date
Mon Feb 16 2026
Journal Name
Technical University Of Munich
Conditions for Applying Public Private Partnership PPP in Iraq Infrastructure Projects Successfully
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Public private partnership PPP is a method to procure public projects in order to achieve additional value for money in terms of efficiency and quality of services. This thesis studies the concepts of PPP, advantages and disadvantages of PPP. In addition, current Iraq infrastructure projects situations and needs, as well as, some aspects relating to the Iraq’s construction market, legal and contract systems were discussed. A financial model was carried out and applied to a real-life case study project. Finally, a survey targeted researchers; public and private- sectors were applied.

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Publication Date
Mon Jun 01 2009
Journal Name
Al-khwarizmi Engineering Journal
Automatic Optimization System of Cutting Condition for Different Types of Machining Processes
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This research aims at calculating the optimum cutting condition for various types of machining methods, assisted by computers, (the computer program in this research is designed to solve linear programs; the program is written in v. basic language). The program obtains the results automatically, this occur through entering the preliminary information about the work piece and the operating condition, the program makes the calculation actually by solving a group of experimental relations, depending on the type of machining method (turning, milling, drilling). The program was transferred to package and group of windows to facilitate the use; it will automatically print the initial input and optimal solution, and thus reduce the effort and t

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Publication Date
Fri Nov 01 2013
Journal Name
Journal Of Cosmetics, Dermatological Sciences And Applications
Topical 15% zinc sulfate solution is an effective therapy for feet odor
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KE Sharquie, AA Noaimi, SD Hameed, Journal of Cosmetics, Dermatological Sciences and Applications, 2013 - Cited by 15

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Publication Date
Tue Jun 02 2009
Journal Name
Albahith Alalami
A proposed scientific strategy for public relations activity at the Integrity Authority.
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This study deals with knowing the public relations activities of the Integrity Commission for the year 2007, knowing the contents of these activities, knowing the contents of the advertisements that it published, whether the contents of the advertisements were convincing, and whether press photographs were used in these advertisements, as well as whether symbols and slogans were used. What language and words were used to address the recipient? 1- What feelings do the contents of advertisements arouse? 2- Research objectives: This research aims to answer the following questions: What are the public relations activities carried out by the Integrity Commission? B: Are the contents of the advertisements published by the Authority convincing to

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Publication Date
Wed Apr 05 2023
Journal Name
International Journal Of Interactive Mobile Technologies (ijim)
Computer Literacy with Skills of Seeking for Information Electronically among University Students
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Publication Date
Fri Jun 30 2023
Journal Name
نسق
Life skills necessary for the teaching profession among secondary school chemistry teachers
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Publication Date
Sun Sep 05 2010
Journal Name
Baghdad Science Journal
Design of six electrode Enzial electrostatic lens low aberrations for electron gun
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A computerized investigation has been carried out on the design of six electrodes electrostatic lenses used in electron gun application. The Finite-Element Method (FEM) was used in the solution of Laplace equation for determine the axial potential distribution. The electron trajectory under zero magnification condition. The optical properties, spherical and chromatic aberrations, the object and image focal length and object and image position are calculated. A very good futures for the electron gun with these lenses have been computed where are a beam current of 8.7*10-7A can be supplied using cathode tip of radius 10nm.

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Publication Date
Sat Dec 31 2016
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Experimental Investigation of Mass Transfer for Copper Reduction by Weight Difference Technique
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An experimental analysis was included to study and investigate the mass transport behavior of cupric ions reduction as the main reaction in the presence of 0.5M H2SO4 by weight difference technique (WDT). The experiments were carried out by electrochemical cell with a rotating cylinder electrode as cathode. The impacts of different operating conditions on mass transfer coefficient were analyzed such as rotation speeds 100-500 rpm, electrolyte temperatures 30-60 , and cupric ions concentration 250-750 ppm. The order of copper reduction reaction was investigated and it shows a first order reaction behavior. The mass transfer coefficient for the described system was correlated with the aid of dimensionless groups as fo

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Publication Date
Sun Sep 05 2010
Journal Name
Baghdad Science Journal
Calculation the number buildup factor of cylindrical samples for Brass, Copper & lead
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The buildup factor of cylindrical samples (shields) for Brass, Copper & lead (Brass, Cu, Pb (was studied, where buildup factor were calculated with thickness between (0-12) m.f.p. for Co60 and Cs137sources with activities (30) & (41) MBq respectively , using scintillation detector NaI(T?) with (3"×3")volume .The results shows increases of buildup factor for low atomic number(Z) samples where the energy of radiation source was constant, also shows increases of buildup factor with decreases the energy of radiation source. An empirical equation was obtained using Matlab7 program this equation have agreements with most obtained data for 96%.

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