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Applied mathematics and Mechanics(English Edition) 2024年第9期45卷 1613-1632页

作者： K.CHANDAN K.KARTHIK K.V.NAGARAJA B.C.PRASANNAKUMARA R.S.VARUN KUMAR T.MUHAMMAD Amrita School of Artificial Intelligence Amrita Vishwa VidyapeethamBengaluru 560035KarnatakaIndia department of Studies in {1. Davangere UniversityDavangere 577002KarnatakaIndia Computational Science Lab Amrita School of EngineeringAmrita Vishwa VidyapeethamBengaluru 560035KarnatakaIndia department of Pure and Applied {1. School of Mathematical SciencesSunway UniversityPetaling Jaya 47500Malaysia department of {1. College of ScienceKing Khalid UniversityAbha 61413Saudi Arabia

The heat transfer through a concave permeable fin is analyzed by the local thermal non-equilibrium(LTNE)*** governing dimensional temperature equations for the solid and fluid phases of the porous extended surface are modeled,and then are nondimensionalized by suitable dimensionless ***,the obtained nondimensional equations are solved by the clique polynomial method(CPM).The effects of several dimensionless parameters on the fin's thermal profiles are shown by graphical ***,the current study implements deep neural structures to solve physics-governed coupled equations,and the best-suited hyperparameters are attained by comparison with various network *** results of the CPM and physicsinformed neural network(PINN)exhibit good agreement,signifying that both methods effectively solve the thermal modeling problem.

关键词： heat transfer fin porous fin local thermal non-equilibrium(LTNE)model physics-informed neural network(PINN)

ASYMPTOTIC BEHAVIOR NEAR THE BOUNDARY OF A LARGE SOLUTION TO SEMILINEAR POISSON EQUATION WITH DOUBLE-POWER NONLINEARITY

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Acta Mathematica Scientia 2024年第6期44卷 2083-2098页

作者： Kazuhiro TAKIMOTO Yuxiao ZHANG department of {1. Graduate School of Advanced Science and TechnologyHiroshima University

We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearity Δu=up+αuqin a bounded smooth domain D ■ R~n,where p> 1.-1. 详细信息

We deal with a large solution to the semilinear Poisson equation with doublepower nonlinearity Δu=up+αuqin a bounded smooth domain D ■ R~n,where p> 1.-1.

关键词： asymptotic behavior double-power nonlinearity large solution semilinear Poisson equation

Noncommutative analysis of Hermite expansions

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Science China mathematics 2024年第10期67卷 2331-2356页

作者： Bang Xu department of {1. University of HoustonHoustonTX 77204USA department of Mathematical Sciences Seoul National UniversitySeoul 08826Republic of Korea

This paper is devoted to the study of semi-commutative harmonic analysis associated with Hermite semigroups. In the first part, we establish the noncommutative maximal inequalities for Bochner-Riesz means associated with Hermite operators and then obtain the corresponding pointwise convergence theorems. In particular, we develop a noncommutative version of Stein's theorem of Bochner-Riesz means for Hermite operators. In the second part, we investigate two noncommutative multiplier theorems. Our approach in this part relies on a noncommutative analog of the classical Littlewood-Paley-Stein theory associated with Hermite semigroups.

关键词： noncommutative L_(p)-spaces Hermite semigroup maximal inequalities pointwise convergence multipliers

Maps Preserving Semi-Fredholm Operators with Fixed Nullity

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Journal of Mathematical Research with Applications 2024年第4期44卷 533-540页

作者： Mengran NI Weijuan SHI department of {1. Shaanxi Normal University

Let X be an infinite-dimensional complex Banach space, and B(X) the algebra of all bounded linear operators on X. Given an integer n ≥ 1. we characterize all the bijective maps on B(X) preserving the difference of se... 详细信息

关键词： operator algebra adjacency preserver map semi-Fredholm operator

Positive Solutions of Second Order Discrete Problem on Infinite Intervals

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Journal of Mathematical Research with Applications 2024年第4期44卷 511-520页

作者： Haiyi WU Tianlan CHEN department of {1. Northwest Normal University

In this paper,by using the discrete Arzelá-Ascoli Lemma and the fixed-point theorem in cones,we discuss the existence of positive solutions of the following second order discrete Sturm-Liouville boundary value problem on infinite intervals■where?u(x)=u(x+1.-u(x) is the forward difference operator,■is continuous,a>0,B and C are nonnegative constants,■

关键词： positive solutions second order discrete problems infinite intervals fixed-point theorem in cones

Existence of Solutions for Systems of k-Dimensional Minkowski-Curvature Problems with Neumann Conditions

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Journal of Mathematical Research with Applications 2024年第1期44卷 35-42页

作者： Tianlan CHEN Yali ZHAO Haiyi WU department of {1. Northwest Normal University

We prove the existence of solutions of the system for nonlocal Neumann problems with Minkowski-curvature operator■,where k,N≥1.are integers,f:[0,1.×Rk→Rkis continuous and g:[0,1.→Rkis a function of bounded *** pr... 详细信息

关键词： Minkowski-curvature operator Perturbation method Neumann problem solutions

Special Unipotent Representations of Simple Linear Lie Groups of Type A

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Acta Mathematica Sinica,English Series 2024年第3期40卷 707-716页

作者： Dan BARBASCH Jia Jun MA Bin Yong SUN Chen Bo ZHU department of {1. Cornell UniversityIthacaNY 14853USA School of Mathematical Sciences Xiamen UniversityXiamen 361005P.R.China department of {1. Xiamen University Malaysia CampusSepangSelangor Darul Ehsan43900Malaysia Institute for Advanced Study in mathematics&New Cornerstone Science Laboratory Zhejiang UniversityHangzhou 310058P.R.China department of {1. National University of Singapore10 Lower Kent Ridge RoadSingapore 119076

Let G be a special linear group over the real,the complex or the quaternion,or a special unitary *** this note,we determine all special unipotent representations of G in the sense of Arthur and Barbasch-Vogan,and show... 详细信息

关键词： Special unipotent representations unitary representations coherent continuation Weyl group representations

Stability analysis of a fractional-order monkeypox epidemic model with quarantine and hospitalization

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Journal of Biosafety and Biosecurity 2024年第1期6卷 34-50页

作者： Raqqasyi R.Musafir Agus Suryanto Isnani Darti Trisilowati department of {1. Faculty of Mathematics and Natural SciencesUniversity of BrawijayaJl.VeteranMalang 65145Indonesia

The monkeypox epidemic has become a global health issue due to its rapid transmission involving nonhuman-to-human transmission in nonendemic *** actions,such as quarantine,vaccination,and hospitalization,have been implemented by worldwide *** the relatively high cost and strict implementation of vaccination,our focus lies on quarantine and *** this paper,we study the monkeypox epidemic involving quarantine and hospitalization through fractionalorder mathematical *** proposed model considers six classes of human populations(susceptible,exposed,infected,quarantined,hospitalized,and recovered)and three classes of nonhuman populations(susceptible,exposed,and infected).The basic properties of the model have been investigated,and its equilibrium points have been obtained,namely monkeypox-free,nonhuman-free endemic,and *** have derived the basic reproduction numbers for human-to-human and nonhuman-tononhuman transmissions,denoted as R0h and R0n *** existence and stability(both locally and globally)of each equilibrium point depend on R0h and R0n relative to *** performed calibration and forecasting of the model on the weekly monkeypox case data of the human population in the United States of America from June 1.to September 23,*** findings indicate that the fractional-order model shows better calibration and forecasting compared to the corresponding firstorder model based on the root mean square ***,the best-fitting model calibration indicates R0=maxfR0h;R0ng>1.suggesting the potential for endemic conditions in ***,the best forecasting shows R01.possibly due to various policies such as *** the relative cost and stringency of vaccination implementation for monkeypox control,we perform numerical simulations and sensitivity analyses on the basic reproduction number,particularly focusing on the impact of quarantine and hospitalization *** and

关键词： Fractional-order model Monkeypox Stability analysis Quarantine Hospitalization

Anisotropic quintessence compact star in f(T)gravity with Tolman–Kuchowicz metric potentials

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Communications in Theoretical Physics 2024年第1期76卷 61-75页

作者： Piyali Bhar Farook Rahaman Shyam Das Somi Aktar Abdelghani Errehymy department of {1. Government General Degree College SingurHooghlyWest Bengal 712409India department of {1. Jadavpur UniversityKolkata 700032West BengalIndia department of Physics Malda College MaldaWest Bengal 732101India Astrophysics Research Centre School of MathematicsStatistics and Computer ScienceUniversity of KwaZulu-NatalPrivate Bag X54001Durban 4000South Africa

To obtain analytically relativistic quintessence anisotropic spherical solutions in the f(T)paradigm is the primary objective of this *** do this,the pressure anisotropy condition is imposed,and we employ a metric potential of the Tolman–Kuchowicz(TK)*** also suppose that our current model incorporates a quintessence field characterized by a parameterωq,in addition to the anisotropic matter *** the presence of the parameterα,the field equations are modified by the choice of the f(T)*** f(T)gravity parameterαadds new components to the basic physical characteristics,such as density,pressure,subliminal sound velocity,surface redshift,etc,of the present *** selecting the compact star Her X-1.and varyingαfrom 0.5 to 2.5,we examined all the physical characteristics of the model parameter of the *** graphical process demonstrates that a more compact item is produced with greater values ofα.The hydrostatic equilibrium condition of the model is discussed,as well as the mass-radius relationship for our current model is obtained.

关键词： quintessence star f(T)gravity stability condition

Analytical study of atmospheric internal waves model with fractional approach

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Journal of Ocean Engineering and Science 2024年第4期9卷 326-337页

作者： Trushit Patel Hardik Patel Ramakanta Meher Computer Science University of the PeoplePasadenaCA 91101United States department of {1. Uka Tarsadia UniversityBardoliGujaratIndia mathematics and Humanities {1. Sardar Vallabhbhai National Institute of TechnologySuratGujaratIndia

This study looks at the mathematical model of internal atmospheric waves,often known as gravity waves,occurring inside a fluid rather than on the *** the shallow-fluid assumption,internal atmospheric waves may be described by a nonlinear partial differential equation *** shallow flow model’s primary concept is that the waves are spread out across a large horizontal area before rising *** Fractional Reduced Differential Transform Method(FRDTM)is applied to provide approximate solutions for any given *** aids in the modelling of the global atmosphere,which has applications in weather and climate *** the integer-order value(α=1.,the FRDTM solution is compared to the precise solution,EADM,and HAM to assess the correctness and efficacy of the proposed technique.

关键词： Shallow-fluid equations Atmospheric internal waves Time-fractional partial differential equations Fractional reduced differential transform method(FRDTM) Climate prediction