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Numerical study of the near-wall vortical structures in particle-laden turbulent flow by a new vortex identification method-Liutex

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Journal of Hydrodynamics 2024年第1期36卷 53-60页

作者： Farid Rousta Goodarz Ahmadi Bamdad Lessani Chaoqun Liu department of Mechanical and Aerospace engineering Clarkson UniversityPotsdamNYUSA Mechanical engineering and engineering Science The University of North Carolina at CharlotteNCUSA department of mathematics University of Texas at ArlingtonArlingtonTXUSA

This study investigates turbulent particle-laden channel flows using direct numerical simulations employing the Eulerian-Lagrangian method.A two-way coupling approach is adopted to explore the mutual interaction between particles and fluid *** considered cases include flow with particle Stokes number varying from St=2 up to St=100 while maintaining a constant Reynolds number of Reτ=180 across all cases.A novel vortex identification method,Liutex(Rortex),is employed to assess its efficacy in capturing near-wall turbulent coherent structures and their interactions with *** Liutex method provides valuable information on vortex strength and vectors at each location,enabling a detailed examination of the complex interaction between fluid and particulate *** widely acknowledged,the interplay between clockwise and counterclockwise vortices in the near-wall region gives rise to low-speed streaks along the *** low-speed streaks serve as preferential zones for particle concentration,depending upon the particle Stokes *** is shown that the Liutex method can capture these vortices and identify the location of low-speed ***,it is observed that the particle Stokes number(size)significantly affects both the strength of these vortices and the streaky structure exhibited by ***,a quantitative analysis of particle behavior in the near-wall region and the formation of elongated particle lines was carried *** involved examining the average fluid streamwise velocity fluctuations at particle locations,average particle concentration,and the normal velocity of particles for each set of particle Stokes *** investigation reveals the intricate interplay between particles and near-wall structures and the significant influence of particles Stokes *** study contributes to a deeper understanding of turbulent particle-laden channel flow dynamics.

关键词： Turbulent channel flow particle-laden flow direct numerical simulation(DNS) Eulerian-Lagrangian vortex identification turbulence coherent structures Liutex

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THE ASYMPTOTIC BEHAVIOR AND OSCILLATION FOR A CLASS OF THIRD-ORDER NONLINEAR DELAY DYNAMIC EQUATIONS

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Acta Mathematica Scientia 2024年第3期44卷 925-946页

作者：黄先勇邓勋环王其如 department of mathematics Guangdong University of EducationGuangzhou510303China department of mathematics College of Medical Information EngineeringGuangdong Pharmaceutical UniversityGuangzhou510006China School of mathematics Sun Yat-sen UniversityGuangzhou510275China

In this paper,we consider a class of third-order nonlinear delay dynamic ***,we establish a Kiguradze-type lemma and some useful ***,we give a sufficient and necessary condition for the existence of eventually positive solutions having upper bounds and tending to ***,we obtain new oscillation criteria by employing the Potzsche chain ***,using the generalized Riccati transformation technique and averaging method,we establish the Philos-type oscillation ***,the integral value of the Philos-type oscillation criteria,which guarantees that all unbounded solutions oscillate,is greater than θ_(4)(t_(1),T).The results of Theorem 3.5 and Remark 3.6 are ***,we offer four examples to illustrate our results.

关键词： nonlinear delay dynamic equations nonoscillation asymptotic behavior Philostype oscillation criteria generalized Riccati transformation

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Stability analysis and soliton solutions of the(1+1)-dimensional nonlinear chiral Schr?dinger equation in nuclear physics

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Communications in Theoretical Physics 2024年第9期76卷 1-15页

作者： Fazal Badshah Kalim U Tariq Ahmet Bekir S M Raza Kazmi Emad Az-Zo'bi School of Electrical and Information engineering Hubei University of Automotive Technology department of mathematics Mirpur University of Science and Technology Neighbourhood of Akcaglan department of mathematics and Statistics Faculty of Science Mutah University

The nonlinear Schr?dinger equation equation is one of the most important physical models used in optical fiber theory to explain the transmission of an optical soliton. The field of chiral soliton propagation in nuclear physics is very interesting because of its numerous applications in communications and ultra-fast signal routing systems. The (1+1)-dimensional chiral dynamical structure that describes the soliton behaviour in data transmission is dealt with in this work using a variety of in-depth analytical techniques. This work has applications in particle physics, ionised science, nuclear physics, optics, and other applied mathematical sciences. We are able to develop a variety of solutions to demonstrate the behaviour of solitary wave structures, periodic soliton solutions, chiral soliton solutions, and bell-shaped soliton solutions with the use of applied techniques. Moreover, in order to verify the scientific calculations, the stability analysis for the observed solutions of the governing model is taken into consideration. In addition, the3-dimensional, contour, and 2-dimensional visuals are supplied for a better understanding of the behaviour of the solutions. The employed strategies are dependable, uncomplicated, and effective; yet have not been utilised with the governing model in the literature that is now accessible. The resulting outcomes have impressive applications across a large number of study areas and computational physics phenomena representing real-world scenarios. The methods applied in this model are not utilized on the given models in previous literature so we can say that these describe the novelty of the work.

关键词： chiral solitons exact solutions solitons stability analysis the nonlinear Schrödinger equation

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Consequences of Rényi entropy on the thermal geometries and Hawking evaporation of topological dyonic dilaton black hole

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Communications in Theoretical Physics 2024年第2期76卷 102-110页

作者： Muhammad Yasir Xia Tiecheng Muhammad Usman Shahid Chaudhary department of mathematics Shanghai University and Newtouch Center for Mathematics of Shanghai UniversityShanghai200444China department of Natural Sciences and Humanities University of Engineering and Technology LahoreNew CampusPakistan

The thermodynamics of black holes(BHs)has had a profound impact on theoretical physics,providing insight into the nature of gravity,the quantum structure of spacetime and the fundamental laws governing the *** this study,we investigate thermal geometries and Hawking evaporation of the recently proposed topological dyonic dilaton BH in anti-de Sitter(Ad S)*** consider Rényi entropy and obtain the relations for pressure,heat capacity and Gibbs free energy and observe that the Rényi parameter and dilaton field play a vital role in the phase transition and stability of the ***,we use Weinhold,Ruppeiner and Hendi Panahiyah Eslam Momennia models to evaluate the scalar curvature of the BH and find out that the divergence points of the scalar curvature coincides with the zero of specific ***,using Stefan–Boltzmann law,we determine that the BH without a dilaton field evaporates far more quickly compared to the dilaton BH in Ad S space.

关键词： topological dyonic dilaton black hole phase transition thermal geometry Hawking evaporation

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Feedback Mechanism-driven Mutation Reptile Search Algorithm for Optimizing Interpolation Developable Surfaces

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Journal of Bionic engineering 2024年第1期21卷 527-571页

作者： Gang Hu Jiao Wang Xiaoni Zhu Muhammad Abbas department of Applied mathematics Xi'an University of TechnologyXi'an 710054China School of Mechanical and Precision Instrument engineering Xi'an University of TechnologyXi'an 710048China department of mathematics University of SargodhaSargodha 40100Pakistan

Curvature lines are special and important curves on *** is of great significance to construct developable surface interpolated on curvature lines in engineering *** this paper,the shape optimization of generalized cubic ball developable surface interpolated on the curvature line is studied by using the improved reptile search ***,based on the curvature line of generalized cubic ball curve with shape adjustable,this paper gives the construction method of SGC-Ball developable surface interpolated on the ***,the feedback mechanism,adaptive parameters and mutation strategy are introduced into the reptile search algorithm,and the Feedback mechanism-driven improved reptile search algorithm effectively improves the solving *** IEEE congress on evolutionary computation 2014,2017,2019 and four engineering design problems,the feedback mechanism-driven improved reptile search algorithm is compared with other representative methods,and the result indicates that the solution performance of the feedback mechanism-driven improved reptile search algorithm is *** last,taking the minimum energy as the evaluation index,the shape optimization model of SGC-Ball interpolation developable surface is *** developable surface with the minimum energy is achieved with the help of the feedback mechanism-driven improved reptile search algorithm,and the comparison experiment verifies the superiority of the feedback mechanism-driven improved reptile search algorithm for the shape optimization problem.

关键词： Reptile search algorithm Feedback mechanism Adaptive parameter Mutation strategy SGC-Ball interpolation developable surface Shape optimization

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Comprehensive Dynamics of Banking: A Systemic Approach Incorporating Lending, Investment, and Capital Variables

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Journal of Systems Science and Information 2024年

作者： Gulnaz ABDUKADYROVA Adilia TABYSHOVA Minara NAZEKOVA Jyldyz ALYMBAEVA Cholpon TOKTOSUNOVA department of Banking and the Securities Market Musa Ryskulbekov Kyrgyz Economic University department of Finance and financial Technologies named after S.A.Sulaymanbekov Musa Ryskulbekov Kyrgyz Economic University

The research topic related to the analysis of banking activity is relevant since the banking sector is complex and dynamic and requires constant monitoring and analysis to make informed decisions. Using a mathematical model of system dynamics to analyse banking activities can help banks make better decisions, manage risk, ensure the stability and efficiency of operations, and adapt to changing conditions. The purpose of the study is to determine the influence of various factors, in particular economic activity, on the final profit of the bank. Among the methods used, the analytical method, the functional method, the system analysis method, the deduction method, the synthesis method, and the comparison method were applied. In the course of this study, an extensive analytical review of banking activities was carried out using a system dynamics model, taking into account the requirements of the International financial Reporting Standards(IFRS 9). The study included various scenario analyses to explore the impact of changes in economic conditions on the bank’s loan portfolio,risk level, and profitability. Both economic growth scenarios and recession scenarios were considered in order to more fully assess their impact on the financial condition of the bank. A forecast and analysis of the risks associated with lending, investments, and other bank operations was carried out. The practical significance lies in the application of the results obtained to address issues related to banking in order to increase the efficiency of this process and achieve a new level of development.

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Switching effect on a two prey-one predator system with strong Allee effect incorporating prey refuge

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International Journal of Biomathematics 2024年第2期17卷 1-50页

作者： Sangeeta Saha Guruprasad Samanta department of mathematics Indian Institute of engineering Science and Technology Shibpur Howrah 711103India

In an environment,the food chains are balanced by the prey-predator *** a predator species is provided with more than one prey population,it avails the option of prey switching between prey species according to their ***,prey switching of predators mainly helps to increase the overall growth rate of a predator *** this work,we have proposed a two prey-one predator system where the predator population adopts switching behavior between two prey species at the time of *** the prey population exhibit a strong Allee effect and the predator population is considered to be a generalist *** proposed system is biologically well-defined as the system variables are positive and do not increase abruptly with *** local stability analysis reveals that all the predator-free equilibria are saddle points whereas the prey-free equilibrium is always *** intrinsic growth rates of prey,the strong Allee parameters,and the prey refuge parameters are chosen to be the controlling parameters *** numerical simulation reveals that in absence of one prey,the other prey refuge parameter can change the system dynamics by forming a stable or unstable limit ***,a situation of bi-stability,tri-stability,or even multi-stability of equilibrium points occurs in this *** in presence of the switching effect,the predator chooses prey according to their abundance,so,increasing refuge in one prey population decreases the count of the second prey *** is also observed that the count of predator population reaches a comparatively higher value even if they get one prey population at its fullest quantity and only a portion of other prey ***,in the scarcity of one prey species,switching to the other prey is beneficial for the growth of the predator population.

关键词： Prey-predator model switching effect strong Allee effect prey refuge

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New solutions for four novel generalized nonlinear fractional fifth-order equations

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Journal of Ocean engineering and Science 2024年第1期9卷 59-65页

作者： Mehmet Senol Lanre Akinyemi Henrietta Nkansah Waleed Adel Nevsehir HacıBekta¸s Veli University Department of MathematicsNevsehirTurkey department of mathematics Lafayette CollegeEastonPennsylvaniaUSA department of mathematics University of Cape CoastCape CoastGhana department of mathematics and engineering Physics Faculty of EngineeringMansoura UniversityEgypt UniversitéFrançaise dÉgypte Ismailia Desert RoadEl ShoroukCairoEgypt

In this paper,new four fifth-order fractional nonlinear equations are derived and *** frac-tional terms are defined in the conformable sense and these equations are then solved using two effective methods,namely,the sub-equation and the generalized Kudryashov *** methods were tested on the proposed models and succeeded in finding new solutions with different values of parameters.A graphical representation of some results is provided and proves the efficiency and applicability of the proposed methods for providing solutions with known physical *** methods are good candi-dates for solving other similar problems in the future.

关键词： Conformable derivative Generalized Kudryashov method Sub-equation method Riccati equation Solitons

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Increasing the Maximum Capacity Path in a Network and Its Application for Improving the Connection Between Two Routers

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Tsinghua Science and Technology 2024年第3期29卷 753-765页

作者： Adrian M.Deaconu Javad Tayyebi department of mathematics and Computer Science Transilvania University of BrasovBrasov 500036Romania department of Industrial engineering Birjand University of TechnologyBirjand 000097Iran

Abstract:This paper addresses the problem of improving the optimal value of the Maximum Capacity Path(MCP)through expansion in a flexible network,and minimizing the involved *** only condition applied to the cost functions is to be non-decreasing *** is a non-restrictive condition,reflecting the reality in practice,and is considered for the first time in the ***,the total cost of expansion is a combination of max-type cost(e.g.,for supervision)and sum-type cost(*** building infrastructures,price of materials,price of labor,etc.).For this purpose,two types of strategies are combined:(l)increasing the capacity of the existing arcs,and(l)adding potential new *** different problems are introduced and *** the problems have immediate applications in Internet routing *** first one is to extend the network,so that the capacity of an McP in the modified network becomes equal to a prescribed value,therefore the cost of modifications is minimized.A strongly polynomial-time algorithm is deduced to solve this *** second problem is a network expansion under a budget constraint,so that the capacity of an McP is maximized.A weakly polynomial-time algorithm is presented to deal with *** the special case when all the costs are linear,a Meggido's parametric search technique is used to develop an algorithm for solving the problem in strongly polynomial *** new approach has a time complexity of O(n^(4)),which is better than the time complexity of O(n4 log(n)of the previously known method from literature.

关键词： Maximum Capacity Path(MCP) network expansion Internet routing polynomial-time algorithms

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Protected simultaneous quantum remote state preparation scheme by weak and reversal measurements in noisy environments

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Chinese Physics B 2024年第2期33卷 169-177页

作者： Mandal Manoj Kumar Choudhury Binayak S. Samanta Soumen department of mathematics Indian Institute of Engineering Science and TechnologyShibpur B.GardenHowrah 711103West BengalIndia

We discuss a quantum remote state preparation protocol by which two parties, Alice and Candy, prepare a single-qubit and a two-qubit state, respectively, at the site of the receiver Bob. The single-qubit state is known to Alice while the two-qubit state which is a non-maximally entangled Bell state is known to Candy. The three parties are connected through a single entangled state which acts as a quantum channel. We first describe the protocol in the ideal case when the entangled channel under use is in a pure state. After that, we consider the effect of amplitude damping(AD) noise on the quantum channel and describe the protocol executed through the noisy channel. The decrement of the fidelity is shown to occur with the increment in the noise parameter. This is shown by numerical computation in specific examples of the states to be created. Finally, we show that it is possible to maintain the label of fidelity to some extent and hence to decrease the effect of noise by the application of weak and reversal measurements. We also present a scheme for the generation of the five-qubit entangled resource which we require as a quantum channel. The generation scheme is run on the IBMQ platform.

关键词： multi-qubit entangled channel quantum remote state preparation noisy environments weak and reversal measurements

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