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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
Mon Jul 01 2024
Journal Name
Russian Journal Of Organic Chemistry
Synthesis and Study of the Biological Activity of New Compounds Derived from 4-(5-Phenyl-1,3,4-oxadiazole-2-yl)aniline
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Publication Date
Fri Apr 01 2022
Journal Name
International Journal Of Nanoscience
Study of the Interaction Between Reduced Graphene Oxide and NO<sub>2</sub>Gas Molecules via Density Functional Theory (DFT)
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Electronic properties such as density of state, energy gap, HOMO (the highest occupied molecular orbital) level, LUMO (the lowest unoccupied molecular orbital) level and density of bonds, as well as spectroscopic properties like infrared (IR), Raman scattering, force constant, and reduced masses for coronene C24, reduced graphene oxide (rGO) C24O5and interaction between C24O5and NO2gas molecules were investigated. Density functional theory (DFT) with the exchange hybrid function B3LYP with 6-311G** basis sets through the Gaussian 09 W software program was used to do these calculations. Gaussian view 05 was em

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Publication Date
Mon May 01 2023
Journal Name
Environmental Nanotechnology, Monitoring & Management
A review study summarizes the main characterization techniques of nano-composite photocatalysts and their applications in photodegradation of organic pollutants
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Publication Date
Sun Jan 01 2023
Journal Name
Desalination And Water Treatment
The removal of Pb(II) ions from aqueous solutions by immobilized (Chlorophyta) macroalgae: an equilibrium, kinetic, and desorption-regeneration study
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Publication Date
Mon Mar 07 2022
Journal Name
Journal Of Educational And Psychological Researches
The Structural Model of the Relationship between Emotional Creativity and Self-Efficacy among Students at the Preparatory Year Tabuk University
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This research aimed to identify the structural model of the relationship between emotional creativity and self-efficacy among male and female students of the preparatory year at Tabuk University. The current study adopted the descriptive correlational approach, as it is appropriate to the nature of the study. The study tools contained (60) items that measure the relationship between emotional creativity and self-efficacy among the male and female students of the preparatory year at Tabuk University. The study sample was chosen by the stratified random method of the study community, where the study sample reached (183) male and female students of the preparatory year at the University of Tabuk. The results of the study showed that there a

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Publication Date
Mon Jan 01 2024
Journal Name
Dyes And Pigments
3′,3′,4′,4′,5′,5′,6′,6′,6′-nonafluoro-hexyloxy groups substituted phthalocyanines: Synthesis, characterization and their biological properties
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Publication Date
Mon Jul 01 2024
Journal Name
Journal Of Food Process Engineering
Artificial intelligence‐based modeling of novel non‐thermal milk pasteurization to achieve desirable color and predict quality parameters during storage
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Abstract<sec><label></label><p>This study proposed using color components as artificial intelligence (AI) input to predict milk moisture and fat contents. In this sense, an adaptive neuro‐fuzzy inference system (ANFIS) was applied to milk processed by moderate electrical field‐based non‐thermal (NP) and conventional pasteurization (CP). The differences between predicted and experimental data were not significant (<italic>p</italic> > 0.05) for lightness (<italic>L</italic>*), redness‐greenness (<italic>a</italic>*), yellowness‐blueness (<italic>b</italic>*), total color differences (∆<italic>E</italic>), hue angle (<italic>h</italic></p></sec> ... Show More
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Publication Date
Tue Sep 01 2015
Journal Name
Photomedicine And Laser Surgery
Evaluation of Temperature Elevation During Root Canal Treatment with Dual Wavelength Laser: 2780 nm Er,Cr:YSGG and 940 nm Diode
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Publication Date
Fri Sep 02 2022
Journal Name
Journal Of Applied Research In Higher Education
The nexus between green human resource management processes and the sustainability of educational institutions: the mediating effect of strategic excellence
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Purpose

This study aims to propose a novel research model to test the nexus between green human resource management processes, strategic excellence and the sustainability of educational institutions in Iraqi academic settings.

Design/methodology/approach

This examination in Iraqi higher education is finalised across three key stages: determining the knowledge gaps, reviewing the literature and building the hypothesised conceptual model. A case study complemented by a quantitative methodology using Statistical Package for the Social Sciences (SPSS) and Analysis of Moment

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Publication Date
Sun Oct 01 2023
Journal Name
Journal Of Medicine And Life
Evaluating the effect of ursodeoxycholic acid (UDCA) in comparison with dexamethasone and diclofenac in a rat model of rheumatoid arthritis
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