Global Journal of Science Frontier Research
Structural Convergence in Irreversible Systems
Independent mathematical results concerning irreversible systems-ranging from discrete dynamical constraints to exclusion of positive average growth and boundary stability in formal domains-exhibit a common structural behavior: in the absence of specific internal mechanisms, the effective state space undergoes monotonic closure. This article presents a rigorous synthesis demonstrating that these independent results converge to a single structural principle. It is shown that sustained openness of the accessible state space under irreversible dynamics requires the presence of an internal persistent operator capable of locally violating closure conditions without contradicting irreversibility. All claims rely exclusively on established mathematical results and explicitly stated assumptions.
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We define an order on \(\mathbb { C }\) that makes it a Banach lattice. Having established properties of this order, we shall use them to provide a brief proof of the solution to the problem posed by E. Michael in 1952 [8], which was resolved in [6] in 2024 using theorems of functional analysis.
Exploration of Finite Time Singularities of the 3D Navier Stokes Equations over a Periodic Domain T³
This paper develops a structured analytical framework for the three-dimensional incompressible Navier-Stokes equations based on recursive compositions of the Lambert $W$ function and successive algebraic transformations of the nonlinear inertial terms. A hierarchy of derived vector fields is constructed using systematic row-operation transformations involving multiplication by scalar fields, addition of equations, and repeated application of the product rule. These transformations generate a closed sequence of transport equations that preserve the algebraic structure of the original Navier-Stokes system. Work by the corresponding author has been carried out recently where a non-smooth periodic attractor has been shown to exist for the Navier-Stokes problem on $\mathbb{T}^3$, and an acceleration ratio measuring the relative scaling of temporal and mixed derivatives in a specific composition hierarchy is shown to exist. It is presently shown that the solution of the Navier-Stokes equations in terms of the Weierstrass Zeta function with this ratio, which is dependent on the Lambert $W$ function, leads to a higher derivative (order $\geq 2$) blowup in finite time. It is of interest that one component must blow up pointwise in finite time out of the three when seeking $C^\infty$ solutions for the other two. If a singularity occurs, at least one component must blow up pointwise. Two components cannot remain smooth while the system develops a singularity without the third blowing up. If a finite-time singularity occurs, then $\|u_z\|_\infty \to \infty$. A central result of the analysis is the derivation of compact recursive formulas for spatial and temporal derivatives of iterated Lambert $W$ compositions, expressed as finite products of factors of the form $(1+W_j)$. Repeated integration by parts yields a finite algebraic representation in which all integral terms collapse into boundary contributions, establishing an explicit closed-form structure for the resulting expressions. Within the transformed hierarchy, an exact identity is established between nonlinear gradient production and viscous diffusion terms. This equality implies that the combined field reduces to a pure divergence structure on periodic domains, yielding a precise mathematical interpretation of the statement "production equals diffusion." Explicit solutions of the resulting scalar transport equations are obtained in closed form using the Lambert $W$ function. The analysis shows that the critical branch condition of the Lambert function produces a finite-value solution while its spatial gradient becomes unbounded, representing a loss of smoothness rather than divergence of the solution amplitude at t1
Assessment of Entomocidal Effects of Solar Radiation for the Management of Cowpea Seed Beetle Callosobruchus Maculatus F. Coleoptera Chrysomelidae in Stored Cowpea
Cowpea seed beetle, Callosobruchus maculatus (F.) is a major pest of cowpea, Vigna unguiculata (L.) Walp. in the tropics and subtropics. It causes remarkable quantitative and qualitative losses to stored cowpea in these regions. Therefore, an experiment to investigate the entomocidal effects of solar radiation for the management of C. maculatus was conducted in the laboratory of the Department of Crop, Soil and Pest Management, Federal University of Technology Akure. Twenty seeds of Oloyin cowpea were infested with freshly emerged adults of C. maculatus in Petri dishes replicated three times. Petri dishes and their contents were exposed to solar radiation for 1, 2 and 3 hours and subsequently removed from sun. They were left in the laboratory for the adult emergence. The results indicated that the different biological parameters studied were significantly (p
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Participatory Evaluation and Demonstration of Improved Forage Technologies under Small Scale Irrigated Condition in Amibara District Afar Region
Participatory evaluation and demonstration of both grass and herbaceous legume forage crops namely Panicum antidotale, Rhodes grass, Cinchrus cilliaris and Medicago sativa and Dolichos lablab were undertaken under agro-pastoralist area under irrigated condition in middle awash irrigated area at farmers training centre during 2016 G.C. Agro-pastoralists PRG group formation and problem identification under taken prior to the implementation of demonstration activity. land preparation, sowing and overall husbandry was undertaken based on the agronomic recommendation so far developed by Werer Research Centre and the whole forage cultivation activity undertaken by the
A New Efficient Approach to Analytical Solutions of Parabolic Equations
In this work the new algorithm entitled Reconstruction of Variational Iteration Method (RVIM) is used as an efficient technique in finding the approximate solutions of the linear and nonlinear equations using only few terms of its own iteration. The algorithm can help overcome the difficulty arising in calculating nonlinear intricate terms. Reconstruction of Variational Iteration Method (RVIM) is independent of any small parameters. Besides, it provides us with a simple way to ensure the convergence of series solution, so that we can always get accurate enough approximations. All of these verify the great potential and validity of the RVIM technique in comparison with those of Variational Iteration Method (VIM) for strongly nonlinear problems in science and engineering.
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A Priori Estimates and Continuous Dependence of Solutions of Thermophysical Problems as Nonlocal Boundary Conditions Pass into Local One
A priori estimates of the differences of solutions of non-local and local problems for heat equations are established. Using them prove continuous dependence of solutions of nonlocal problems as nonlocal boundary conditions pass into local ones.
nonlocal boundary conditions pass into local conditions
nonlocal boundary conditions pass into local conditions.
Numerical Simulation of the Effect of Distant Tsunami along the Coast of Peninsular Malaysia and Southern Thailand through an Open Boundary Condition in a Linear Model
The 26 December 2004 Indonesian tsunami was the third known global tsunami and reached every distant corner of the globe. An effort has been made here to evaluate the effect of this distant tsunami in a limited area model domain. The effect of distant tsunami has been simulated through an open boundary condition in a Cartesian coordinate shallow water linear model. The open boundary condition is applied to simulate the tsunami propagation when it is assumed that the tsunami is generated far away from the region of interest. The computational domain covers the region so that the 26 December 2004 Indonesian tsunami source is well within the model domain. First, the initial disturbance of the tsunami source are examined along the western open boundary of the model domain and then the boundary condition is formulated and adjusted in such a manner that the effects of tsunami due to the source along the coasts are same as the effects due to the formulated boundary condition. The response of the open boundary condition is investigated along the coastal region of Peninsular Malaysia and southern Thailand. The results are compared with the data available in the website and a very reasonable agreement is observed.
In this article we introduce the sequence space and for the sequence of F = (fk) and given some inclusion relations.
We establish a necessary and sufficient condition for finding if the given hyperedge set in a simple hypergraph is a minimal hyperedge cover. Then we give a set theoretical proposition to find minimal hyperedge covers.
A Survey of Mathematical Approaches To Two Phase Fluid Flow Techniques
Two phase fluid systems are concerned with the motion of a liquid or gas containing immiscible inert identical solid particles. Common examples of two phase fluid systems include blood flow in arteries, flows in rocket tubes, dust in gas cooling systems to enhance heat transfer processes, movement of inert solid particles in atmosphere, and other suspended particles in seas and oceans. Naturally, studies of these systems are mathematically interesting and useful for modeling the physical phenomena to address complex issues related to fluid flow characteristics.
Solution of Einsteinas Field Equations for Mixed Potential of a Radiating Star
We have studied the behaviour of a radiating star when the interior expanding, shearing fluid particles are traveling in geodesic motion. A systematic approach enables us to write the junction condition as a Riccati equation. In this article we obtained two new solutions in terms of elementary functions with assuming a separation of variables and also have discussed the physical significance of these solutions.
A Note on Semilattice Decompositions of Epigroups
The purpose of this paper is to study epigroups admitting a decomposition into a semilattice of σ n -simple semigroups. We give further remark on semilattice decompositions of epigroups and characterize them by using some relations, ideals on/of S and certain special elements in S.
A Unified Study Of Fourier Series Involving Generalized Hypergeometric Function
In this paper, we make an application of an integral involving sine function, exponential function, the product of Kamp´e de F´eriet functions and the I-function to evaluate three fourier series. We also evaluate a multiple integral involving the Ifunction to make its application to derive a multiple exponential Fourier series. Some known and interesting particular cases are also given at the end.
Applications of continued fraction identities
On Geometric Models in modern computing and networking
This paper discusses a few geometric models that have been of great utility in the modern technologically dominated society. Under the setting of topological manifolds the mathematical concepts underlying computer graphics have been explored. Other applications of the theory of manifolds in computer science and communication technology namely in codes, ciphers and networks are described. Using the concept of triangulations and homology we describe a discrete model concerning the networked environment.
Integral Formulaeas Involving Two H I-function and Multivariable Polynomials
The aim of the present paper is to derive a new Integral formulae's for the H -function due to Inayat-Hussain whose based upon some integral formulae due to Qureshi et.al. The results are obtained in a compact form containing the multivariable Polynomials.
generalized wright hypergeometric function
generalized wright hypergeometric function.
Hypergraph-based edge detection in gray images by suppression of interior pixels
This paper presents a new two-stage hypergraph-based algorithm for edge detection in noise-free gray images. The first stage consists of mapping the input image onto a hypergraph called the Intensity Interval Hypergraph (IIHG) associated with the image. In the second stage, each hyperedge is partitioned into two disjoint subsets, namely, the interior pixels and the edge pixels. The interior pixels are then suppressed, so that the edge pixels trace out the edges in the image. These edges are then sharpened using an edge sharpener function to eliminate all the duplicated edges. The algorithm is validated on a number of images of largely varying details, and shows promising results. Other hypergraph-based algorithms are of computational complexity O (n 2 ) or O (n 3 ) whereas the IIHG model works at a reduced computational complexity of O (n).
The Integration Of Certain Products Of The H-Funcation With Extended Jaboci Polynomials
The object of this paper is to derive a finite integral pertaining to two H-functions with extended Jacobi-polynomial. In the particular cases we have discussed the integration of product of a certain class of Feynman integral with our main integral. Application of the main result have also been discussed with the Riemann-Liouville type fractional integral operator. The results derived here are basic in nature and they are likely to be useful applications into several fields notably electromagnetic theory, statistical mechanics and probability theory.
Problems and Constraints of Rabbitry in India: a Study of Himachal Pradesh
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Some analytic classes of Banach function spaces
EFFICACY OF SELECTED PLANT EXTRACTS ON THE OVIPOSITION DETERRENT AND ADULT EMERGENCE ACTIVITY OF CALLOSOBRUCHUS MACULATUS .F (BRUCHIDAE; COELEOPTERA)
Existence of Z = (z-t) Type Plane Gravitational Waves Carrying Some Energy In Six-Dimensional Space-Tim
TWO SUMMATION FORMULAE BASED ON HALF ARGUMENT ASSOCIATED TO HYPERGEOMETRIC FUNCTION
On New Solutions To Lame's Diierential Equation
A Conceptual Framework for implementing Priority based segregation for Decision Support Applications
An Expedient and facile Multicomponent Synthesis Of I-Acetamido Ketones By Using Various Green Solvents
Scleractinian Diversity Of Ritchieas Archipelago, Andaman & Nicobar Islands
Ritchie's Archipelago, being the part of South Andaman, shows a variety of marine biodiversity in each of its thirteen islands. These islands show a great deal of scleractinian life on its continental shelf in a fringing pattern. The study will help up to get a summarized data of scleractinian diversity of this archipelago. The will be to take conservatory measure for the proper sustainable development of coral reef of the islands. A Total of 168 species of scleractinian corals were recorded during the study period from the study areas. Shannon -Weaver Diversity index (H¯) of Scleractinian corals ofthe islands was recorded between 4.718 and 6.556, indicating very high coral diversity of those places. Similarity index (S) was also ranges from 29.41% to 73.89%, suggeststhe existence of species strong links between islands. Ritchie's Archipelago is a group of islands which shows a variety of scleractinian corals. high level of species co-existence which harbours with the other associated faunal communities for their survival. The diversity of scleractinian corals in the Ritchie's Archipelago is discussed in detail in this paper.
Minimum Inhibitory and Bactericidal Concentrations (MIC & MBC) Of Honey and Bee Propolis against Multidrug Resistant (MDR) Staphylococcus Sp. Isolated from Bovine Clinical Mastitis
With the emergence of antibiotic-resistant Staph. sp., search for antimicrobial agents other than antibiotic is of great concern. The study aimed to determine both MIC and MBC of different honey samples against these strains. The study was conducted with 64 different Staph sp. isolated from bovine mastitis and tested in vitro against 11 antimicrobial agents. The most MDR strains (19) were tested in vitro against six honey batches; marjoram, cotton, two fennel samples and two different trefoil samples as well as against 10% propolis-fennel honey mixture. Both MIC & MBC of the tested honey samples against every tested strain were determined. Propolis-fennel honey mixture showed the lowest both MIC & MBC values against all Staph sp. all over the study with highly significant differences, while against different Staph sp., also it had the lowest MIC and MBC values against S. intermedius followed by S. aureus.
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The standard radius of the Earth's gravity sphere is 917 000 km. Here we present that the radius is 1400000 km.
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