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Exponential Decay of Laminated Beam with Nonlinear Time-varying Delay and Microtemperature Effect

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Acta Mathematicae Applicatae Sinica 2025年第1期41卷 270-285页

作者： Imene LARIBI Ali KRELIFA Djamel OUCHENANE Fares YAZID Salah BOULAARAS Salah ZITOUNI department of mathematics Djilali Bounaama University of Khemis MilianaKhemis MilianaAlgeria Computer Science and mathematics Laboratory Amar Telidji UniversityLaghouat 03000Algeria Laboratory of pure and applied mathematics Amar Telidji UniversityLaghouat 03000Algeria department of mathematics College of ScienceQassim UniversityBuraydah 51452Saudi Arabia department of mathematics and Informatics University Mohamed-Cherif MessaadiaSouk AhrasAlgeria

This research paper addresses a topic of interest to many researchers and engineers due to its effective applications in various industrial *** focuses on the thermoelastic laminated beam model with nonlinear structural damping,nonlinear time-varying delay,and microtemperature *** primary goal is to establish the stability of the *** achieve this,and under suitable hypotheses,we demonstrate energy decay and construct a Lyapunov functional that leads to our results.

关键词： structural damping energy decay laminated beam microtemperature time-varying delay partial differential equations nonlinear equations

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Solution of a Time-Space Tempered Fractional Diffusion-Wave Equation and its Theoretical Aspects

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Acta Mathematicae Applicatae Sinica 2025年第1期41卷 1-26页

作者： Pratibha VERMA Surabhi TIWARI department of mathematics Indian Institute of Technology JodhpurJodhpur-342030RajasthanIndia department of mathematics Motilal Nehru National Institute of Technology AllahabadPrayagraj-211004Uttar PradeshIndia

This article proves the existence and uniqueness conditions of the solution of two-dimensional time-space tempered fractional diffusion-wave equation. We find analytical solution of the equation via the two-step Adomian decomposition method(TSADM). The existence result is obtained with the help of some fixed point theorems, while the uniqueness of the solution is a consequence of the Banach contraction ***, we study the stability via the Ulam-Hyers stability for the considered problem. The existing techniques use numerical algorithms for solving the two-dimensional time-space tempered fractional diffusionwave equation, and thus, the results obtained from them are the approximate solution of the problem with high computational and time complexity. In comparison, our proposed method eliminates all the difficulties arising from numerical methods and gives an analytical solution with a straightforward process in just one iteration.

关键词： Caputo fractional derivative two-step Adomian decomposition method time-space tempered fractional di usion-wave equation Riesz derivative Ulam-Hyers stability xed point theorem

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Relativistic model for anisotropic compact stars in embedding class-Ⅰspacetime

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Communications in Theoretical Physics 2025年第1期77卷 143-157页

作者： Susmita Sarkar Moumita Sarkar Nayan Sarkar Farook Rahaman department of applied Science and Humanities Haldia Institute of TechnologyHaldia-721606West BengalIndia department of mathematics Jadavpur UniversityKolkata-700032India department of mathematics Karimpur Pannadevi CollegeNadia-741152West BengalIndia

In the present article,we introduce a completely new regular model for static,spherically symmetric celestial fluid spheres in embedding classⅠ*** this regard,needfully,we propose a new suitable metric potential e^(λ(r))to generate the present *** various analyses on energy density,pressure,anisotropic factor,mass,compactness parameter,redshift,and energy condition make sure the model is physically viable on the ground of model stars Vela X-1,Cen X-3,SMC X-4,and LMC *** reported solutions also respect the equilibrium state by satisfying the Tolman-Oppenheimer-Volkoff(TOV)equation and ensure stability by satisfying the causality condition,condition on the adiabatic index,and Harrison-Zeldovich-Novikov *** generated M-R graph matches the ranges of masses and radii for the model compact ***,this study provides estimates of the moment of inertia based on the I-M graph.

关键词： general relativity compact star anisotropy Karmarkar condition

Applications of variable thermal features for the bioconvective flow of Jeffrey nanofluids due to stretching surface with mass suction effects: Cattaneo-Christov model

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applied mathematics and Mechanics(English Edition) 2025年第2期46卷 391-402页

作者： S.U.KHAN M.GARAYEV ADNAN K.RAMESH M.EL MELIGY D.ABDUVALIEVA M.I.KHAN department of mathematics Namal University department of mathematics College of Science King Saud University department of mathematics Mohi-ud-Din Islamic University department of pure and applied mathematics School of Mathematical SciencesSunway University department of mathematics Graphic Era (Deemed to be University) department of mathematics School of Chemical Engineering and Physical SciencesLovely Professional University Jadara University Research Center Jadara University applied Science Research Center Applied Science Private University department of mathematics and Information Technologies Tashkent State Pedagogical University department of Mechanics and Engineering Science Peking University

The thermal nanofluids have garnered widespread attention for their use in multiple thermal systems, including heating processes, sustainable energy, and nuclear reactions. Research on nanofluids has revealed that the thermal efficiencies of such materials are adversely affected by various thermal features. The purpose of the current work is to demonstrate the thermal analysis of Jeffrey nanofluids with the suspension of microorganisms in the presence of variable thermal sources. The variable effects of thermal conductivity, Brownian diffusivity, and motile density are utilized. The investigated model also reveals the contributions of radiation phenomena and chemical reactions. A porous, saturated, moving surface with a suction phenomenon promotes flow. The modeling of the problem is based on the implementation of the Cattaneo-Christov *** convective thermal constraints are used to promote the heat transfer features. A simplified form of the governing model is treated with the assistance of a shooting technique. The physical effects of different parameters for the problem are presented. The current problem justifies its applications in heat transfer, coating processes, heat exchangers, cooling systems in microelectronics, solar systems, chemical processes, etc.

关键词： Jeffrey nanofluid bioconvection effect variable thermal consequence chemical reaction numerical simulation O357 76Rxx

Projective Hilbert modules and sequential approximations

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Science China mathematics 2025年第1期68卷 137-168页

作者： Lawrence G.Brown Huaxin Lin department of mathematics Purdue UniversityWest LafayetteIN 47907-2067USA department of mathematics East China Normal UniversityShanghai 200062China department of mathematics University of OregonEugeneOR 97405USA

We show that when A is a separable C^(*)-algebra,every countably generated Hilbert A-module is projective(with bounded module maps as morphisms).We also study the approximate extensions of bounded module *** the case where A is aσ-unital simple C^(*)-algebra with strict comparison,and every strictly positive lower semicontinuous affine function on quasitraces can be realized as the rank of an element in the Cuntz semigroup,we show that the Cuntz semigroup is equivalent to unitarily equivalent classes of countably generated Hilbert A-modules if and only if A has stable rank one.

关键词： projective Hilbert modules simple C^(*)-algebras sequential approximations

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Quantum convolution inequalities on Frobenius von Neumann algebras

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Science China mathematics 2025年第3期68卷 615-636页

作者： Linzhe Huang Zhengwei Liu Jinsong Wu Beijing institute of Mathematical Sciences and Applications Yau Mathematical Sciences Center and department of mathematics Tsinghua University

In this paper, we introduce Frobenius von Neumann algebras and study quantum convolution inequalities. In this framework, we unify quantum Young's inequality on quantum symmetries such as subfactors,and fusion bi-algebras studied in quantum Fourier analysis. Moreover, we prove quantum entropic convolution inequalities and characterize the extremizers in the subfactor case. We also prove quantum smooth entropic convolution inequalities. We obtain the positivity of comultiplications of subfactor planar algebras, which is stronger than the quantum Schur product theorem. All these inequalities provide analytic obstructions of unitary categorification of fusion rings stronger than the Schur product criterion.

关键词： Frobenius von Neumann algebra quantum Young's inequality quantum entropic convolution inequality unitary categorification

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Modular framed vertex operator algebras and ■-forms

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Science China mathematics 2025年第04期 785-806页

作者： Chongying Dong Ching Hung Lam Li Ren department of mathematics University of CaliforniaSanta Cruz institute of mathematics Academia Sinica School of mathematics Sichuan University

We investigate modular framed vertex operator algebras over an algebraically closed field F whose characteristic is different from 2 and *** particular,the rationality of modular framed vertex operator algebras is *** a modular code vertex operator algebra,the irreducible modules are constructed and ***,a ■-form for any framed vertex operator algebra over C is *** a result,one can obtain a modular framed vertex operator algebra from any framed vertex operator algebra over C.

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Observability for the Schr?dinger equation in a uniform magnetic field

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Acta Mathematica Sinica,English Series 2025年

作者： Zhang FANG department of mathematics Beijing Institute of Technology

We prove the observability inequalities at two time points for the Schr?dinger equation in a uniform magnetic field in dimensions 2 and 3. The proofs mainly rely on Nazarov’s uncertainty principle. In particular, the observability inequality in three dimensions can also be derived from the approach used to establish the Amerin-Berthier uncertainty principle.

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Weak Form Mitter Conjecture on Nonmaximal Rank Estimation Algebra:State Dimension 4 and Rank 3

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Journal of Systems Science & Complexity 2025年第01期 27-78页

作者： JIAO Xiaopei YAU Stephen Shing-Toung department of applied mathematics University of Twente department of Mathematical Sciences Tsinghua University Beijing institute of Mathematical Sciences and Applications (BIMSA)

Ever since Brockett and Clark(1980), Brockett(1981) and Mitter(1980) introduced the estimation algebra method, it becomes a powerful tool to classify finite-dimensional filtering *** this paper, the authors investigate estimation algebra on state dimension n and linear rank n-1,especially the case of n = 4. Mitter conjecture is always a key question on classification of estimation algebra. A weak form of Mitter conjecture states that observation functions in finite dimensional filters are affine functions. In this paper, the authors shall focus on the weak form of Mitter conjecture. In the first part, it will be shown that partially constant structure of Ω is a sufficient condition for weak form Mitter conjecture to be true. In the second part, the authors shall prove partially constant structure of Ω for n = 4 which implies the weak form Mitter conjecture for this case.

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