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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 20 2018
Journal Name
Day 3 Thu, March 22, 2018
Southern Iraqi Oil Fields Drilling Problems Identification, Analysis, and Treatment
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Abstract<p>Multiple drilling problems are being faced continuously while drilling wells in the southern Iraqi oil fields. Many of which are handled poorly and inefficiently which yields longer non-productive time due to the lack of knowledge about the source of these problems. This study aims to investigate the Basra oil fields formations from Faris to Mishrif, diagnose the potential problems, and present the optimum treatment for each problem.</p><p>Gathering of field data and previous studies on the subject, in addition to the field experience of drilling supervisors were all the information bases of this study. Southern Iraqi oil fields were studied and analyzed care</p> ... Show More
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Publication Date
Sun Mar 07 2010
Journal Name
Baghdad Science Journal
Local and Global Uniqueness Theorems of the N-th Order Partial Differential Equations
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In this paper, we consider inequalities in which the function is an element of n-th partially order space. Local and Global uniqueness theorem of solutions of the n-the order Partial differential equation Obtained which are applications of Gronwall's inequalities.

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Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
Oscillations of First Order Linear Delay Differential Equations with positive and negative coefficients
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Oscillation criteria are obtained for all solutions of the first-order linear delay differential equations with positive and negative coefficients where we established some sufficient conditions so that every solution of (1.1) oscillate. This paper generalized the results in [11]. Some examples are considered to illustrate our main results.

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Publication Date
Sat Mar 30 2024
Journal Name
Journal Of Kufa For Mathematics And Computer
Approximate Solution of Linear and Nonlinear Partial Differential Equations Using Picard’s Iterative Method
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Publication Date
Tue Aug 01 2023
Journal Name
Iop Conference Series: Earth And Environmental Science
Effect of Light Source and Adenine Sulfate on the Multiplication and Rooting of Kalanchoe blossfeldiana in Vitro
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Abstract<p>This study was conducted in the Tissue Culture laboratory of the Horticultural Department of the Faculty of Agriculture at Karbala University to investigate the effects of a light source (Florescent, LED) and adenine sulfate (Ads) a 0, 40, 80, and 120 mg l-1 on the multiplication and rooting of <italic>Kalanchoe blossfeldiana</italic>. Results showed there are which achieved a 100% response percentage for multiplication and rooting when the addition of adenine sulfate (Ads) under LED light especially a concentration of 120 mg l-1 significantly increased the Shoot height, Shoot number, Number of leaves, Chlorophyll content and fresh, Dry weight. The results showed that they h</p> ... Show More
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Publication Date
Sun Dec 01 2019
Journal Name
Journal Of Economics And Administrative Sciences
Use Principal Component Analysis Technique to Dimensionality Reduction to Multi Source
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This paper tackles with principal component analysis method (PCA ) to dimensionality reduction in the case of linear combinations to digital image processing and analysis. The PCA is statistical technique that shrinkages a multivariate data set consisting of inter-correlated variables into a data set consisting of variables that are uncorrelated linear combination, while ensuring the least possible loss of useful information. This method was applied to a group of satellite images of a certain area in the province of Basra, which represents the mouth of the Tigris and Euphrates rivers in the Shatt al-Arab in the province of Basra.

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Publication Date
Tue Dec 21 2021
Journal Name
Journal Of Engineering Mathematics
Fluid inflow from a source on the base of a channel
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Publication Date
Wed Dec 25 2019
Journal Name
Journal Of Engineering
Comparison of Different DEM Generation Methods based on Open Source Datasets
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Digital Elevation Model (DEM) is one of the developed techniques for relief representation.  The definition of a DEM construction is the modeling technique of earth surface from existing data. DEM plays a role as one of the fundamental information requirement that has been generally utilized in GIS data structures. The main aim of this research is to present a methodology for assessing DEMs generation methods. The DEMs data will be extracted from open source data e.g. Google Earth. The tested data will be compared with data produced from formal institutions such as General Directorate of Surveying. The study area has been chosen in south of Iraq (Al-Gharraf / Dhi Qar governorate. The methods of DEMs creation are kriging, IDW (inver

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Publication Date
Mon Jun 01 2015
Journal Name
Int. J. Adv. Appl. Math. Andmech.
The effect of external source of disease on the epidemic model
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Publication Date
Wed Dec 25 2019
Journal Name
Journal Of Engineering
Comparison of Different DEM Generation Methods based on Open Source Datasets
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Digital Elevation Model (DEM) is one of the developed techniques for relief representation.  The definition of a DEM construction is the modeling technique of earth surface from existing data. DEM plays a role as one of the fundamental information requirement that has been generally utilized in GIS data structures. The main aim of this research is to present a methodology for assessing DEMs generation methods. The DEMs data will be extracted from open source data e.g. Google Earth. The tested data will be compared with data produced from formal institutions such as General Directorate of Surveying. The study area has been chosen in south of Iraq (Al-Gharraf / Dhi Qar governorate. The methods of DEMs creation are kri

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