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Center of the Yangian double in type A

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Science China mathematics 2024年第9期67卷 1957-1988页

作者： Fan Yang Naihuan Jing department of mathematics Jiaying University department of mathematics North Carolina State University

We prove that the R-matrix and Drinfeld presentations of the Yangian double in type A are isomorphic. The central elements of the completed Yangian double in type A at the critical level are *** images of these elements under a Harish-Chandra-type homomorphism are calculated by applying a version of the Poincaré-Birkhoff-Witt theorem for the R-matrix presentation. These images coincide with the eigenvalues of the central elements in the Wakimoto modules.

关键词： Yangian double Harish-Chandra homomorphism Wakimoto module

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Global Stability to Steady Supersonic Rayleigh Flows in One-Dimensional Duct

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Chinese Annals of mathematics,Series B 2024年第2期45卷 279-296页

作者： Fenglun WEI Jianli LIU department of mathematics Shanghai University Newtouch Center for mathematics of Shanghai university

Heat exchange plays an important role in hydrodynamical systems,which is an interesting topic in theory and *** this paper,the authors consider the global stability of steady supersonic Rayleigh flows for the one-dimensional compressible Euler equations with heat exchange,under the small perturbations of initial and boundary conditions in a finite rectilinear duct.

关键词： Compressible Euler equations Heat exchange Supersonic Rayleigh fow Steady solution Classical solution

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Evolution of light deflection and shadow from a gauge-potential-like AdS black hole under the influence of a non-magnetic plasma medium

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Communications in Theoretical Physics 2024年第9期76卷 85-96页

作者： Riasat Ali Xia Tiecheng Muhammad Awais Rimsha Babar department of mathematics Shanghai University and Newtouch Center for Mathematics of Shanghai University department of mathematics University of Engineering and Technology department of mathematics GC University Faisalabad Layyah Campus

We investigate the light deflection in the weak field approximation from the accelerating charged AdS black hole. For this purpose, we apply the Gauss–Bonnet theorem to calculate the light deflection in the weak field area and use the Gibbons–Werner approach to analyze the optical geometry of the accelerating charged AdS black hole in the non-magnetic plasma absence/presence of a non-magnetic medium. We also represent the graphical behavior of the light deflection angle w.r.t. the impact parameter. We also compute the light deflection angle using Keeton and Petters approximations under the impact of accelerating charged AdS black hole geometry. Furthermore, by using the ray-tracing approach, we determine the shadow in the nonmagnetic plasma presence and also demonstrate that graphical shadow has an impact on the gauge potential, non-magnetic plasma frequencies and charge.

关键词： accelerating charged AdS black hole deflection angle Gibbons-Werner approach ray-tracing approach shadow

Matrix orthogonal polynomials, non-abelian Toda lattices, and B?cklund transformations

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Science China mathematics 2024年第9期67卷 2071-2090页

作者： Shi-Hao Li department of mathematics Sichuan University

A connection between matrix orthogonal polynomials and non-abelian integrable lattices is investigated in this paper. The normalization factors of matrix orthogonal polynomials expressed using quasideterminants are shown to be the solutions to the non-abelian Toda lattice in semi-discrete and full-discrete cases. Moreover, with a moment modification method, we demonstrate that the B¨acklund transformation of the non-abelian Toda lattice given by Popowicz(1983) is equivalent to the non-abelian Volterra lattice, whose solutions can be expressed using quasi-determinants as well.

关键词： matrix orthogonal polynomial non-abelian Toda lattice Bäcklund transformation quasi-determinant technique

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Effects of multiple shapes for steady flow with transformer oil+Fe_(3)O_(4)+TiO_(2) between two stretchable rotating disks

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Applied mathematics and Mechanics(English Edition) 2024年第2期45卷 373-388页

作者： M.RAHMAN M.TURKYILMAZOGLU Z.MUSHTAQ department of mathematics Mirpur University of Science and TechnologyMirpur 10250Pakistan department of mathematics Hacettepe UniversityBeytepeAnkara 06532Turkiye

In this study,we examine the effects of various shapes of nanoparticles in a steady flow of hybrid nanofluids between two stretchable rotating *** steady flow of hybrid nanofluids with transformer oil as the base fluid and Fe_(3)O_(4)+TiO_(2)as the hybrid nanofluid is *** shapes of Fe_(3)O_(4)+TiO_(2)hybrid nanofluids,including sphere,brick,blade,cylinder,and platelet,are *** shape exists in the same volume of a *** leading equations(partial differential equations(PDEs))are transformed to the nonlinear ordinary differential equations(ODEs)with the help of similarity *** system of equations takes the form of ODEs depending on the boundary conditions,whose solutions are computed numerically by the bvp4c MATLAB *** outputs are compared with the previous findings,and an intriguing pattern is discovered,such that the tangential velocity is increased for the rotation parameter,while it is decreased by the stretching values because of the lower *** the reaction rate parameter,the concentration boundary layer becomes shorter,and the activation energy component increases the rate at which mass transfers come to the higher disk but have the opposite effect on the bottom *** ranges of various parameters taken into account are Pr=6.2,Re=2,M=1.0,φ_(1)=φ_(2)=0.03,K=0.5,S=-0.1,Br=0.3,Sc=2.0,α_(1)=0.2,γ=0.1,E_(n)=2.0,and q=1.0,and the rotation factor K is within the range of 0 to 1.

关键词： transformer oil Brinkman number skin friction coefficient double rotating disk Nusselt number Sherwood number

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Study of bending angle and shadow in a new Schwarzschild-like black hole affected by plasma and non-plasma mediums

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Chinese Physics C 2024年第5期48卷 309-318页

作者： Riasat Ali Tiecheng Xia Muhammad Awais Rimsha Babar department of mathematics Newtouch Center for Mathematics of Shanghai UniversityShanghai 200444China department of mathematics University of Engineering and Technology Lahore-54890Pakistan department of mathematics GC University Faisalabad Layyah CampusLayyah-31200Pakistan

In this study,we analyze the models of the deflection angle of a new Schwarzschild-like black hole(BH)and employ the optical metric of the *** achieve this,we use the Gaussian curvature of the optical metric and the Gauss-Bonnet theorem,known as the Gibbons-Werner technique,to determine the deflection ***,we examine the deflection angle in the presence of a plasma medium and the effect of the plasma medium on the deflection *** deflection angle of the BH solution in the gauged super-gravity is computed using the Keeton-Petters *** the ray-tracing technique,we investigate the shadow of the corresponding BH and analyze the plots of the deflection angle and shadow to verify the influence of the plasma and algebraic thermodynamic parameters on the deflection angle and shadow.

关键词： new Schwarzschild-like black hole Gibbons-Werner and Keeton-Petters techniques deflection angle ray-tracing approach shadow

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Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model

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Science China mathematics 2024年第9期67卷 2171-2194页

作者： Chuanjun Chen Xiaofeng Yang School of mathematics and Information Sciences Yantai University department of mathematics University of South Carolina

In this paper, an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the incompressible hydrodynamically coupled Cahn-Hilliard model for simulating the two-phase fluid flow system. The scheme is developed by combining the finite element method for spatial discretization and several effective time marching approaches, including the pressure-correction projection method for dealing with fluid equations and the explicit-invariant energy quadratization(explicit-IEQ) approach for dealing with coupled nonlinear terms. The obtained scheme is very efficient since it only needs to solve several decoupled, linear elliptic equations with constant coefficients at each time step. We also strictly prove the solvability and unconditional energy stability of the scheme, and verify the accuracy and stability of the scheme through plenty of numerical examples.

关键词： finite element method decoupled scheme two-phase flow Cahn-Hilliard equation Navier-Stokes equations energy stability

Metabolic syndrome and the urinary microbiome of patients undergoing percutaneous nephrolithotomy

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Asian Journal of Urology 2024年第2期11卷 316-323页

作者： Ryan A.Dornbier Chirag P.Doshi Shalin C.Desai Petar Bajic Michelle Van Kuiken Mark Khemmani Ahmer V.Farooq Larissa Bresler Thomas M.T.Turk Alan J.Wolfe Kristin G.Baldea loyola university Medical Center Department of UrologyMaywoodILUSA loyola university Chicago Department of Microbiology and ImmunologyMaywoodILUSA

Objective:To identify possible stone-promoting microbes,we compared the profiles of microbes grown from stones of patients with and without metabolic syndrome(MetS).The association between MetS and urinary stone disease is well established,but the exact pathophysiologic relationship remains *** evidence suggests urinary tract dysbiosis may lead to increased nephrolithiasis ***:At the time of percutaneous nephrolithotomy,bladder urine and stone fragments were collected from patients with and without *** sample types were subjected to expanded quantitative urine culture(EQUC)and 16 S ribosomal RNA gene ***:Fifty-seven patients included 12 controls(21.1%)and 45 MetS patients(78.9%).Both cohorts were similar with respect to demographics and non-MetS *** controls had uric acid stone *** EQUC,bacteria were detected more frequently in MetS stones(42.2%)compared to controls(8.3%)(p=0.041).Bacteria also were more abundant in stones of MetS patients compared to *** validate our EQUC results,we performed 16 S ribosomal RNA gene *** 12/16(75.0%)sequence-positive stones,EQUC reliably isolated at least one species of the sequenced *** were detected in both“infectious”and“non-infectious”stone ***:Bacteria are more common and more abundant in MetS stones than control *** findings support a role for bacteria in urinary stone disease for patients with MetS regardless of stone composition.

关键词： Nephrolithiasis Urolithiasis Metabolic syndrome Urinary microbiome Percutaneous nephrolithotomy

A combined Liouville integrable hierarchy associated with a fourth-order matrix spectral problem

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Communications in Theoretical Physics 2024年第7期76卷 3-10页

作者： Wen-Xiu Ma department of mathematics Zhejiang Normal University department of mathematics King Abdulaziz University department of mathematics and Statistics University of South Florida Tampa Material Science Innovation and Modelling Department of Mathematical Sciences North-West University Mafikeng Campus

This paper aims to propose a fourth-order matrix spectral problem involving four potentials and generate an associated Liouville integrable hierarchy via the zero curvature formulation. A bi-Hamiltonian formulation is furnished by applying the trace identity and a recursion operator is explicitly worked out, which exhibits the Liouville integrability of each model in the resulting hierarchy. Two specific examples, consisting of novel generalized combined nonlinear Schr?dinger equations and modified Korteweg–de Vries equations, are given.

关键词： Hamiltonian structure integrable hierarchy Lax pair matrix spectral problem zero curvature equation