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Finsler Trudinger-Moser inequalities on R^(2)

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Science China Mathematics 2022年第9期65卷 1803-1826页

作者： nguyen tuan Duy Le Long Phi Faculty of Economics and Law University of Finance-MarketingHCM City ***Vietnam Institute of Research and Development Duy Tan UniversityDa Nang 550000Vietnam

The first aim of this article is to study the sharp singular(two-weight)Trudinger-Moser inequalities with Finsler norms on R^(2).The second goal is to propose a different approach to study a vanishing-concentration-compactness principle for the Trudinger-Moser inequalities and use this to investigate the existence and the nonexistence of the maximizers for the Trudinger-Moser inequalities in the subcritical ***,by applying our Finsler Trudinger-Moser inequalities to suitable Finsler norms,we derive the sharp affine Trudinger-Moser inequalities which are essentially stronger than the Trudinger-Moser inequalities with standard energy of the gradient.

关键词： Trudinger-Moser inequality Finsler norm sharp constants extremal functions affine energy

Truly optimal semi-active damping to control free vibration of a single degree of freedom system

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Theoretical & Applied Mechanics Letters 2024年第2期14卷 142-145页

作者： Viet Duc La Ngoc tuan nguyen Institute of Mechanics Vietnam Academy of Science and TechnologyHanoi 10000Vietnam Graduate University of Science and Technology Vietnam Academy of Science and TechnologyHanoi 10000Vietnam

This paper studies a single degree of freedom system under free vibration and controlled by a general semiactive damping.A general integral of squared error is considered as the performance index.A one-time switching damping controller is proposed and *** pontryagin maximum principle is used to prove that no other form of semi-active damping can provide the better performance than the proposed one-time switching damping.

关键词： Analytical optimization Quadratic integral Lyapunov equation Pontryagin maximum principle

DEVELOPING AN ENERGY BENCHMARKING SYSTEM FOR HOTEL BUILDINGS USING THE STATISTICAL METHOD AND THE SIMULATION-BASED APPROACH

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Journal of Green Building 2019年第3期14卷 3-22页

作者： Anh tuan nguyen David Rockwood the Faculty of Architecture University of Science and Technology–The University of DanangViet Nam School of Architecture University of HawaiiU.S.A

Due to increased tourist activity,many cities now have a large number of hotel *** is necessary to establish measures to evaluate energy use intensity to effectively manage energy consumption in this *** study uses a combined strategy to establish an energy benchmark for hotel buildings in ***,a survey and analysis of actual building stock data of 50 hotels in Danang,Vietnam,was *** survey-based benchmark and its related data was then used to build a reference energy model to estimate an energy benchmark for other climatic regions in Vietnam by using the energy simulation *** results reveal that the average energy use intensity for hotels in Danang was 87.4 kWh/*** or 8628.6 kWh/***,this study proposes that because of the differing expectations of comfort standards,hotels of different grades should have separate *** study also proposes an energy intensity-based rating scale,including 7 grades from the least energy intensive(grade A)to the most energy intensive(grade G),which can be used to manage,label,or encourage sustainable energy use in hotel *** relationship between the energy use intensity and the occupancy rate of the hotels was reported,compared,and *** was found that occupancy rate has no significant impact on the energy use *** the survey result,some predictive models were developed to estimate annual energy consumption of hotel buildings based on their *** simulated benchmarks for other regions were also *** results demonstrate many potential applications in the management,design and construction,and renovation of this building type.

关键词： energy benchmarking hotel energy use intensity energy labeling energy rating scale simulation-based benchmarking

Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions

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Acta Mathematica Sinica,English Series 2022年第12期38卷 2199-2219页

作者： nguyen Duc PHUONG Le Dinh LONG Anh tuan nguyen Dumitru BALEANU Faculty of Fundamental Science Industrial University of Ho Chi Minh CityVietnam Division of Applied Mathematics Science and Technology Advanced InstituteVanLang UniversityHoChi Minh CityVietnam Faculty of Technology Van Lang UniversityHo Chi Minh CityVietnam Department of Mathematics Cankaya UniversityAnkaraTurkey Lebanese AmericanUniversity BeirutLebanon Institute of Space Sciences Magurele-BucharestRomania

This paper is devoted to identifying an unknown source for a time-fractional diffusion equation in a general bounded ***,we prove the problem is non-well posed and the stability of the source ***,by using the Modified Fractional Landweber method,we present regularization solutions and show the convergence rate between regularization solutions and sought solution are given under a priori and a posteriori choice rules of the regularization parameter,***,we present an illustrative numerical example to test the results of our theory.

关键词： Source problem fractional pseudo-parabolic problem ill-posed problem convergence estimates regularization

Self-supervised image quality assessment for X-ray tomographic images of Li-ion battery

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npj Computational Materials 2022年第1期8卷 1848-1856页

作者： Kai Zhang tuan-Tu nguyen Zeliang Su Arnaud Demortière Laboratoire de Réactivitéet Chimie des Solides(LRCS) CNRS UMR 7314UPJVHub de l’Energie15 rue Baudelocque80039Amiens CedexFrance ENSTA Paris 91120PalaiseauFrance Renault Technocentre 78084GuyancourtFrance Réseau sur le Stockage Electrochimique de l’Energie(RS2E) CNRS FR 3459Hub de l’EnergieRue Baudelocque80039Amiens CedexFrance ALISTORE-European Research Institute CNRS FR 3104Hub de l’EnergieRue Baudelocque80039Amiens CedexFrance

Image perception plays a fundamental role in the tomography-based approaches for microstructure characterization and has a deep impact on all subsequent stages of image processing,such as segmentation and 3D *** enhancement of image perception,however,frequently involves observer-dependence,which reflects user-to-user dispersion and uncertainties in the calculated *** work presents an objective quantitative method,which uses convolutional neural networks (CNN) for the quality assessment of the X-ray tomographic *** only dozens of annotations,our method allows to evaluate directly and precisely the quality of tomographic *** metrics were employed to evaluate the correlation between our predicted scores and subjective human *** evaluation results demonstrate that our method can be a direct tool to guide the enhancement process in order to produce reliable segmentation *** processing of the tomographic image can thus evolve into a robust observer-independent procedure and advance towards the development of an efficient self-supervised approach.

关键词： image networks battery

New Collective Signatures Based on the Elliptic Curve Discrete Logarithm Problem

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Computers, Materials & Continua 2022年第10期73卷 595-610页

作者： tuan nguyen Kim Duy Ho Ngoc Nikolay A.Moldovyan School of Computer Science Duy Tan UniversityDa NangVietnam Department of Information Technology Ha NoiVietnam ITMO University St.PetersburgRussia

There have been many digital signature schemes were developed based on the discrete logarithm problem on a finite *** this study,we use the elliptic curve discrete logarithm problem to build new collective signature *** cryptosystem on elliptic curve allows to generate digital signatures with the same level of security as other cryptosystems but with smaller *** extend practical applicability and enhance the security level of the group signature protocols,we propose two new types of collective digital signature schemes based on the discrete logarithm problem on the elliptic curve:i)the collective digital signature scheme shared by several signing groups and ii)the collective digital signature scheme shared by several signing groups and several individual *** two new types of collective signatures have combined the advantages of group digital signatures and collective digital *** signatures have a fixed size and do not depend on the number of members participating in the creation of the final collective *** of the advantages of the proposed collective signature protocols is that they can be deployed on top of the available public key infrastructures.

关键词： Elliptic curve signing group individual signer collective signature group signature

Constructing Collective Signature Schemes Using Problem of Finding Roots Modulo

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Computers, Materials & Continua 2022年第7期72卷 1105-1122页

Digital signature schemes are often built based on the difficulty of the discrete logarithm problems,of the problem of factor analysis,of the problem of finding the roots modulo of large primes or a combination of the difficult problems mentioned *** this paper,we use the new difficult problem,which is to find the wth root in the finite ground field GF(p)to build representative collective signature schemes,but the chosen modulo p has a special structure distinct p=Nt_(0)t_(1)t_(2)+1,where N is an even number and t_(0),t_(1),t_(2) are prime numbers of equal magnitude,about 80 *** characteristics of the proposed scheme are:i)The private key of each signer consists of 2 components(K_(1),K_(2)),randomly selected,but the public key has only one component(Y)calculated by the formula Y=K_(w)^(1)_(1) K^(w)_(2)^(2);w_(1)=t_(0)t_(1) and w_(2)=t_(0)t_(2);and ii)The generated signature consists of a set of 3 components(e,S_(1),S_(2)).We use the technique of hiding the signer’s public key Y,which is the coefficientλgenerated by the group nanager,in the process of forming the group signature and representative collective signature to enhance the privacy of all members of the signing collective.

关键词： Computing roots finding roots modulo collective signature signing collective signing group

New Representative Collective Signatures Based on the Discrete Logarithm Problem

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Computers, Materials & Continua 2022年第10期73卷 783-799页

The representative collective digital signature scheme allows the creation of a unique collective signature on document M that represents an entire signing community consisting of many individual signers and many different signing groups,each signing group is represented by a group *** document M,a collective signature can be created using the representative digital signature scheme that represents an entire community consisting of individual signers and signing groups,each of which is represented by a group *** characteristic of this type of letter is that it consists of three elements(U,E,S),one of which(U)is used to store the information of all the signers who participated in the formation of the collective signature on document *** storing this information is necessary to identify the signer and resolve disputes later,it greatly increases the size of *** is considered a limitation of the collective signature representing 3 *** this paper,we propose and build a new type of collective signature,a collective signature representing 2 elements(E,S).In this case,the signature has been reduced in size,but it contains all the information needed to identify the signer and resolve disputes if *** construct the approved group signature scheme,which is the basic scheme for the proposed representative collective signature schemes,we use the discrete logarithm problem on the prime finite *** the end of this paper,we present the security analysis of the AGDS scheme and a performance evaluation of the proposed collective signature schemes.

关键词： Elliptic curve signing group individual signer collective signature group signature

Constructing Representative Collective Signature Protocols Using The GOST R34.10-1994 Standard

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Computers, Materials & Continua 2023年第1期74卷 1475-1491页

作者： tuan nguyen Kim Duy Ho Ngoc Nikolay A.Moldovyan School of Computer Science Duy Tan UniversityDanangVietnam Department of Information Technology HanoiVietnam ITMO University St.PetersburgRussia

The representative collective digital signature,which was suggested by us,is built based on combining the advantages of group digital signature and collective digital *** collective digital signature schema helps to create a unique digital signature that deputizes a collective of people representing different groups of signers and may also include personal *** advantage of the proposed collective signature is that it can be built based on most of the well-known difficult problems such as the factor analysis,the discrete logarithm and finding modulo roots of large prime numbers and the current digital signature standards of the United States and Russian *** this paper,we use the discrete logarithmic problem on prime finite fields,which has been implemented in the GOST R34.10-1994 digital signature standard,to build the proposed collective signature *** protocols help to create collective signatures:Guaranteed internal integrity and fixed size,independent of the number of members involved in forming the *** signature built in this study,consisting of 3 components(U,R,S),stores the information of all relevant signers in the U components,thus tracking the signer and against the“disclaim of liability”of the signer later is *** idea of hiding the signer’s public key is also applied in the proposed *** makes it easy for the signing group representative to specify which members are authorized to participate in the signature creation process.

关键词： Signing collective signing group discrete logarithm group signature collective signature GOST standards