scholarly journals An analysis of the unified formulation for the equilibrium problem of compositional multiphase mixtures

2021 ◽  
Author(s):  
Ibtihel Ben Gharbia ◽  
Mounir Haddou ◽  
Quang Huy Tran ◽  
Duc Thach Son Vu
Keyword(s):  
Phase Equilibrium ◽  
Equations Of State ◽  
Sufficient Conditions ◽  
Tangent Plane ◽  
Practical Implementation ◽  
System Of Equations ◽  
Trace Back ◽  
Definition Of ◽  
New Formulation ◽  
Natural Way

In this paper , we conduct a thorough mathematical analysis of the unified formulation advocated by Lauser et al . [ Adv . Water Res . 34 (2011), 957-966] for compositional multiphase flows in porous media . The interest of this formulation lies in its potential to automatically handle the appearance and disappearance of phases. However , its practical implementation turned out to be not always robust for realistic fugacity laws associated with cubic equations of state , as shown by Ben Gharbia and Flauraud [ Oil & Gas Sci . Technol . 74 (2019), 43]. By focusing on the subproblem of phase equilibrium , we derive sufficient conditions for the existence of the corresponding system of equations. We trace back the difficulty of cubic laws to a deficiency of the Gibbs functions that comes into play due to the `` unifying '' feature of the new formulation. We propose a partial remedy for this problem by extending the domain of definition of these functions in a natural way . Besides , we highlight the crucial but seemingly unknown fact that the unified formulation encapsulates all the properties known to physicists on phase equilibrium , such as the tangent plane criterion and the minimization of the Gibbs energy of the mixture.

A Philosophical Analysis To Uncover The Meaning And Terminology Of Person In Indonesian Criminal Law Context

2017 ◽  
Vol 1 (1) ◽  
pp. 56
Author(s):  
Nani Mulyati ◽  
Topo Santoso ◽  
Elwi Danil
Keyword(s):  
Criminal Law ◽  
Sufficient Conditions ◽  
Criminal Code ◽  
Legal Person ◽  
Philosophical Approach ◽  
Legal Personality ◽  
Legal Subject ◽  
Long Time ◽  
Definition Of ◽  
Broad Meaning

The definition of person and non-person always change through legal history. Long time ago, law did not recognize the personality of slaves. Recently, it accepted non-human legal subject as legitimate person before the law. This article examines sufficient conditions for being person in the eye of law according to its particular purposes, and then, analyses the meaning of legal person in criminal law. In order to do that, scientific methodology that is adopted in this research is doctrinal legal research combined with philosophical approach. Some theories regarding person and legal person were analysed, and then the concept of person was associated with the accepted definition of legal person that is adopted in the latest Indonesian drafted criminal code. From the study that has been done, can be construed that person in criminal law concerned with norm adressat of the rule, as the author of the acts or omissions, and not merely the holder of rights. It has to be someone or something with the ability to think rationally and the ability to be responsible for the choices he/she made. Drafted penal code embraces human and corporation as its norm adressat. Corporation defined with broad meaning of collectives. Consequently, it will include not only entities with legal personality, but also associations without legal personality. Furthermore, it may also hold all kind of collective namely states, states bodies, political parties, state’s corporation, be criminally liable.

scholarly journals Lyapunov Functions and Lipschitz Stability for Riemann–Liouville Non-Instantaneous Impulsive Fractional Differential Equations

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 730
Author(s):  
Ravi Agarwal ◽  
Snezhana Hristova ◽  
Donal O’Regan
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Lyapunov Functions ◽  
Sufficient Conditions ◽  
Initial Time ◽  
Lipschitz Stability ◽  
Comparison Results ◽  
Liouville Fractional Derivative ◽  
Fractional Differential ◽  
Definition Of

In this paper a system of nonlinear Riemann–Liouville fractional differential equations with non-instantaneous impulses is studied. We consider a Riemann–Liouville fractional derivative with a changeable lower limit at each stop point of the action of the impulses. In this case the solution has a singularity at the initial time and any stop time point of the impulses. This leads to an appropriate definition of both the initial condition and the non-instantaneous impulsive conditions. A generalization of the classical Lipschitz stability is defined and studied for the given system. Two types of derivatives of the applied Lyapunov functions among the Riemann–Liouville fractional differential equations with non-instantaneous impulses are applied. Several sufficient conditions for the defined stability are obtained. Some comparison results are obtained. Several examples illustrate the theoretical results.

scholarly journals Large-Eddy Simulation Analyses of Heated Urban Canyon Facades

Energies ◽  
2021 ◽  
Vol 14 (11) ◽  
pp. 3078
Author(s):  
Carlo Cintolesi ◽  
Francesco Barbano ◽  
Silvana Di Sabatino
Keyword(s):  
Urban Canopy ◽  
Pollutant Removal ◽  
Present Contribution ◽  
Convective Flows ◽  
Eddy Simulation ◽  
Large Eddy ◽  
Isothermal Case ◽  
Definition Of ◽  
New Formulation ◽  
Heating Up

Thermal convective flows are common phenomena in real urban canyons and strongly affect the mechanisms of pollutant removal from the canyon. The present contribution aims at investigating the complex interaction between inertial and thermal forces within the canyon, including the impacts on turbulent features and pollutant removal mechanisms. Large-eddy simulations reproduce infinitely long square canyons having isothermal and differently heated facades. A scalar source on the street mimics the pollutant released by traffic. The presence of heated facades triggers convective flows which generate an interaction region around the canyon-ambient interface, characterised by highly energetic turbulent fluxes and an increase of momentum and mass exchange. The presence of this region of high mixing facilitates the pollutant removal across the interface and decreases the urban canopy drag. The heating-up of upwind facade determines favourable convection that strengthens the primary internal vortex and decreases the pollutant concentration of the whole canyon by 49% compare to the isothermal case. The heating-up of the downwind facade produces adverse convection counteracting the wind-induced motion. Consequently, the primary vortex is less energetic and confined in the upper-canyon area, while a region of almost zero velocity and high pollution concentration (40% more than the isothermal case) appears at the pedestrian level. Finally, numerical analyses allow a definition of a local Richardson number based on in-canyon quantities only and a new formulation is proposed to characterise the thermo-dynamics regimes.

Mesh duality and Legendre duality

1990 ◽  
Vol 428 (1875) ◽  
pp. 351-377 ◽  
Keyword(s):  
Piecewise Linear ◽  
Voronoi Tessellation ◽  
Tangent Plane ◽  
Linear Functions ◽  
Piecewise Linear Functions ◽  
Dual Transformation ◽  
Delaunay Mesh ◽  
Definition Of

We describe a sense in which mesh duality is equivalent to Legendre duality. That is, a general pair of meshes, which satisfy a definition of duality for meshes, are shown to be the projection of a pair of piecewise linear functions that are dual to each other in the sense of a Legendre dual transformation. In applications the latter functions can be a tangent plane approximation to a smoother function, and a chordal plane approximation to its Legendre dual. Convex examples include one from meteorology, and also the relation between the Delaunay mesh and the Voronoi tessellation. The latter are shown to be the projections of tangent plane and chordal approximations to the same paraboloid.

IMPROVEMENT OF MECHANISMS OF PUBLIC POLICY IMPLEMENTATION IN THE SOCIO-HUMANITARIAN SPHERE

2018 ◽  
Author(s):  
Andrii Moisiiakha ◽  
Keyword(s):  
Public Policy ◽  
Policy Implementation ◽  
Public Administration ◽  
State Policy ◽  
The State ◽  
Practical Implementation ◽  
Humanitarian Mission ◽  
Legal Nature ◽  
Public Policy Implementation ◽  
Definition Of

The article is devoted to the problems of finding ways to improve the mechanisms of implementation of state policy in the socio-humanitarian sphere. The purpose of this article is to identify areas for improvement of mechanisms for implementing public policy in the socio-humanitarian sphere, taking into account the needs of their unification within a single approach to the organization of social processes in the analyzed area. Achieving this goal has provided solutions to more practical problems: the development of goals, objectives, areas of state policy in the socio-humanitarian sphere, as well as organizational and legal support for its implementation. All this together will allow to introduce quite detailed algorithms and tools for managing the socio-humanitarian development of Ukraine and to quickly and effectively overcome the negative risks that arise in it. The content, essence and state-legal nature of mechanisms of public administration, as a set of ways and tools of practical realization of state policy are revealed. The analysis of modern approaches to understanding the essence of mechanisms of public administration is carried out. The author's definition of the mechanism of public administration in the socio-humanitarian sphere is offered. The content and essence of state policy in the socio-humanitarian sphere are revealed. The conclusion concerning the basic determinants and features of its development is made. Approaches to the formation of mechanisms for the implementation of state policy in the socio-humanitarian sphere are generalized. The need to further unify approaches to the implementation of such public policy in different sectors of the socio-humanitarian sphere has been proved. The main directions of improvement of mechanisms of its realization are allocated. The mechanism of state policy implementation in the socio-humanitarian sphere is defined as a set of nonlinear sets of tools and methods of state influence, which is implemented through appropriate management decisions (a set of measures as components of state policy) to develop the rights and interests of citizens and practical implementation. guarantees of the state in the fields of education, health care, social security, as well as others covered by the humanitarian mission of the state and able to influence the formation of productive forces, human, intellectual and social capital in society.

scholarly journals Existence of Solutions for Anti-Periodic Fractional Differential Inclusions Involving ψ-Riesz-Caputo Fractional Derivative

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 630
Author(s):  
Dandan Yang ◽  
Chuanzhi Bai
Keyword(s):  
Fractional Derivative ◽  
Caputo Fractional Derivative ◽  
Differential Inclusions ◽  
Existence Of Solutions ◽  
Sufficient Conditions ◽  
Fractional Differential Inclusions ◽  
Nonlinear Alternative ◽  
Contractive Map ◽  
Fractional Differential ◽  
Definition Of

In this paper, we investigate the existence of solutions for a class of anti-periodic fractional differential inclusions with ψ -Riesz-Caputo fractional derivative. A new definition of ψ -Riesz-Caputo fractional derivative of order α is proposed. By means of Contractive map theorem and nonlinear alternative for Kakutani maps, sufficient conditions for the existence of solutions to the fractional differential inclusions are given. We present two examples to illustrate our main results.

scholarly journals Generalized Timelike Mannheim Curves in Minkowski Space-Time

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
M. Akyig~it ◽  
S. Ersoy ◽  
İ. Özgür ◽  
M. Tosun
Keyword(s):  
Minkowski Space ◽  
Sufficient Conditions ◽  
Space Time ◽  
Necessary And Sufficient Conditions ◽  
Minkowski Space Time ◽  
Mannheim Curve ◽  
Definition Of ◽  
Necessary And Sufficient

We give the definition of generalized timelike Mannheim curve in Minkowski space-time . The necessary and sufficient conditions for the generalized timelike Mannheim curve are obtained. We show some characterizations of generalized Mannheim curve.

scholarly journals Basic approaches to the development of resistant social capital of the state customs service

2020 ◽  
pp. 100-105
Author(s):  
Tetiana Ruda
Keyword(s):  
Social Capital ◽  
Research Abstract ◽  
The State ◽  
Practical Implementation ◽  
Monitoring Design ◽  
Theoretical Generalization ◽  
Basic Approaches ◽  
Time Variables ◽  
Definition Of ◽  
And Control

Purpose. The aim of the article is research of the peculiarities of the development of resistant social capital of the State Customs Service and development of proposals for the development of a model of its development. Methodology of research. The following methods are used to achieve this goal: induction and deduction, theoretical generalization, abstraction, dialectical cognition – in the study of scientific sources and research of theoretical aspects of the development of resistant social capital, the definition of the categorical apparatus of the research; abstract and logical – to generalize theoretical positions, to form conclusions and proposals on the research topic. Findings. The essence and features of the development of resistant social capital are determined. The expediency of developing a model of development of resistant social capital of the State Customs Service, which is based on the principles of attributiveness and synergy, is substantiated. It allows to take into account the influence of environmental factors of the department and time variables on the development of social capital. The structural content of the development model is given, which includes: attributes of the object of development, attributes of the internal and external environment. The object, goals, functions and principles of building a model of development of resistant social capital of the State Customs Service are determined. A detailed description of each stage of application of the model of development of resistant social capital of the State Customs Service is given, which includes: monitoring, design, planning, implementation and control. The advantages of practical implementation of the proposed model are outlined. Originality. The study of theoretical aspects of the development of resistant social capital of the State Customs Service has been further developed. For the first time, proposals for the formation of a model for the development of resistant social capital at the sectoral level have been developed, its structure, features of practical implementation and advantages of application have been determined. Practical value. The main provisions of this study can be used in the process of developing proposals for the development of conceptual areas of development of resistant social capital in the State Customs Service. Key words: development, attributiveness, attributive model of development, development of resistant social capital of the State Customs Service, model of development of resistant social capital of the State Customs Service.

scholarly journals Generalized Knaster-Kuratowski-Mazurkiewicz type theorems and applications to minimax inequalities

2017 ◽  
Vol 20 (K2) ◽  
pp. 131-140
Author(s):  
Linh Manh Ha
Keyword(s):  
Variational Inequalities ◽  
Equilibrium Problems ◽  
Applied Mathematics ◽  
Sufficient Conditions ◽  
Topological Spaces ◽  
Minimax Theorems ◽  
Minimax Inequalities ◽  
Special Cases ◽  
Kkm Mappings ◽  
Definition Of

Knaster-Kuratowski-Mazurkiewicz type theorems play an important role in nonlinear analysis, optimization, and applied mathematics. Since the first well-known result, many international efforts have been made to develop sufficient conditions for the existence of points intersection (and their applications) in increasingly general settings: Gconvex spaces [21, 23], L-convex spaces [12], and FCspaces [8, 9]. Applications of Knaster-Kuratowski-Mazurkiewicz type theorems, especially in existence studies for variational inequalities, equilibrium problems and more general settings have been obtained by many authors, see e.g. recent papers [1, 2, 3, 8, 18, 24, 26] and the references therein. In this paper we propose a definition of generalized KnasterKuratowski-Mazurkiewicz mappings to encompass R-KKM mappings [5], L-KKM mappings [11], T-KKM mappings [18, 19], and many recent existing mappings. Knaster-KuratowskiMazurkiewicz type theorems are established in general topological spaces to generalize known results. As applications, we develop in detail general types of minimax theorems. Our results are shown to improve or include as special cases several recent ones in the literature.

scholarly journals Superabundant design

2016 ◽  
Vol 5 (1) ◽  
pp. 60-69 ◽  
Author(s):  
Pablo R. Velasco González
Keyword(s):  
Energy Consumption ◽  
Production Rate ◽  
Electronic Devices ◽  
Production Cycle ◽  
Trace Back ◽  
The Creation ◽  
Definition Of ◽  
Time And Energy

Tiziana Terranova draws attention to the necessity of questioning how algorithmically enabled automation works “in terms of control and monetization” and “what kind of time and energy” is being subsumed by it (Terranova 387). Cryptocurrencies are payment technologies that automate the production of money-like tokens (Bergstra and Weijland) following algorithmic rules to maintain a fixed production rate. Different kinds of energy and residues, which are not always acknowledged, are involved in this process. Here I distinguish between two closely linked layers in the Bitcoin token production: first, an algorithmic layer, which contains the instructions and rules for the creation of bitcoins; second, a hardware layer, which performs and embodies the former. While these layers work together, I will argue that they enact their own kind of logics of energy and waste. I will begin at the more visible end of the production cycle, the hardware layer, where the definition of waste and energy consumption is shared with many electronic devices; then I will trace back its algorithmic layer, which as I argue, follows a different logic.

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