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GLOBAL BOUnD On THE GRADIEnT OF SOLUTIOnS TO p-LAPLACE TYPE EQUATIOnS WITH MIXED DATA

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Acta Mathematica Scientia 2024年第4期44卷 1394-1414页

作者： Minh-Phuong tran The-Quang tran Thanh-nhan nGUYEn Applied Analysis Research Group Faculty of Mathematics and StatisticsTon Duc Thang UniversityHo Chi Minh CityVietnam nguyen Huu Huan High School Thu Duc CityVietnam Group of Analysis and Applied Mathematics Department of MathematicsHo Chi Minh City University of EducationVietnam

In this paper,the study of gradient regularity for solutions of a class of elliptic problems of p-Laplace type is *** particular,we prove a global result concerning Lorentz-Morrey regularity of the non-homogeneous boundary data problem:-div((s^(2)+|▽u|^(2)p-2/2)▽u)=-div(|f|^(p-2)f)+g inΩ,u=h in■Ω,with the(sub-elliptic)degeneracy condition s∈[0,1]and with mixed data f∈L^(p)(Q;R^(n)),g∈Lp/(p-1)(Ω;R^(n))for p∈(1,n).This problem naturally arises in various applications such as dynamics of non-newtonian fluid theory,electro-rheology,radiation of heat,plastic moulding and many *** on the idea of level-set inequality on fractional maximal distribution functions,it enables us to carry out a global regularity result of the solution via fractional maximal *** to the significance of M_(α)and its relation with Riesz potential,estimates via fractional maximal functions allow us to bound oscillations not only for solution but also its fractional derivatives of orderα.Our approach therefore has its own interest.

关键词： gradient estimates p-Laplace quasilinear elliptic equation fractional maximal operators Lorentz-Morrey spaces

EP Aquarii:A new Picture of the Circumstellar Envelope

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Research in Astronomy and Astrophysics 2024年第3期24卷 83-105页

作者： Pham T.nhung Do T.Hoai Pierre Darriulat Pham Tuan-Anh Pham n.Diep nguyen B.ngoc tran T.Thai Department of Astrophysics Vietnam National Space CenterVietnam Academy of Science and Technology18Hoang Quoc VietNghia DoCau GiayHa Noivietnam

new analyses of earlier ALMA observations of oxygen-rich AGB star EP Aquarii are presented,which complete a previously published analysis and offer a different interpretation of the morpho-kinematics of the circumstellar *** birth of the equatorial density enhancement(EDE)is shown to occur very close to the star where evidence for rotation has been *** to the star and where outflows have been observed:their interaction with the gas of the nascent EDE is seen to play an important role in the development of the wind and the evolution of its radial velocity from 8 to 10 km s^(-1) on the polar symmetry axis to~2 km s^(-1) at the *** implies complex morpho-kinematics:making reliable interpretations with reasonable confidence is *** particular,it questions an earlier interpretation implying the presence of a white dwarf companion orbiting the star at an angular distance of -0″4 from its *** proposes instead an interpretation in terms of a standard mass ejection associated with a shock wave leaving a void of emission in its *** Doppler velocity wings are seen to consist of two components,the upper velocity end of the global wind,reaching above±12 km s^(-1),and an effective line broadening,confined within 200 mas from the center of the star,reaching above±20 km s^(-1) and interpreted as caused by the pattern of shock waves resulting from the interaction between stellar pulsation and convective cell partition.

关键词： stars AGB and post-AGB-(stars) circumstellar matter-radio lines stars

Insights and reviews on battery lifetime prediction from research to practice

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Journal of Energy Chemistry 2024年第7期94卷 716-739页

作者： Xudong Qu Dapai Shi Jingyuan Zhao Manh-Kien.tran Zhenghong Wang Michael Fowler Yubo Lian Andrew FBurke Hubei Longzhong Laboratory Hubei University of Arts and ScienceXiangyang 441000HubeiChina Institute of transportation Studies University of California DavisDavisCA 95616USA Department of Chemical Engineering University of WaterlooWaterlooOntario N2L 3G1Canada BYD Automotive Engineering Research Institute Shenzhen 518118GuangdongChina

The rising demand for energy storage solutions,especially in the electric vehicle and renewable energy sectors,highlights the importance of accurately predicting battery health to enhance their longevity and *** article comprehensively examines various methods used to forecast battery health,including physics-based models,empirical models,and equivalent circuit models,among *** delves into the promise of data-driven prognostics,utilizing both conventional machine learning and cuttingedge deep neural network *** advantages and limitations of hybrid models are thoroughly analyzed,with a focus on the benefits of integrating diverse data sources to improve prognostic *** practical case studies,the article showcases the effectiveness and flexibility of these *** also critically addresses the challenges encountered in applying battery health prognostics in realworld scenarios,such as issues of scalability,complexity,and data *** these challenges,the article underscores the emerging opportunities brought about by recent technological,academic,and research *** include the development of digital twin models for batteries,the use of data-centric AI and standardized benchmarking,the potential integration of blockchain technology for enhanced data security and transparency,and the synergy between edge and cloud computing to boost data analysis and *** primary goal of this article is to enrich the understanding of current battery health prognostic techniques and to inspire further research aimed at overcoming existing hurdles and tapping into new *** concludes with a visionary perspective on future research directions and potential developments in this evolving field,encouraging both researchers and practitioners to explore innovative solutions.

关键词： Batteries Lifetime Health Machine learning Deep learning Field Real world

The evaluation of next-generation probiotics on broiler growth performance,gut morphology,gut microbiome,nutrient digestibility,in addition to enzyme production of Bacillus *** vitro

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Animal nutrition 2024年第3期18卷 133-144页

作者： Jacoba I.Bromfield Shahram niknafs Xiaojing Chen Juhani von Hellens Darwin Horyanto Baode Sun Lei Yu Viet Hai tran Marta navarro Eugeni Roura Bioproton Pty Ltd Acacia RidgeBrisbaneQueenslandAustralia Centre for nutrition and Food Sciences Queensland Alliance for Agriculture and Food InnovationThe University of QueenslandBrisbaneQueenslandAustralia Centre for Animal Science Queensland Alliance for Agriculture and Food InnovationThe University of QueenslandBrisbaneQueenslandAustralia

Considerable research has been conducted into the efficacy of individual probiotics in broiler production,however information on the most effective combinations of synergistic Bacillus probiotic is *** study investigated the impact of different Bacillus strain combinations in broiler chickens,as well as in vitro enzyme *** experiment one,a total of 576 Ross 308 broilers at 1 d old were grown for 21 d across 6 treatments of maize-soybean diets(n=12 pens per treatment)to compare three different strain combinations(formulation 1[F1]:3 strains Bacillus amyloliquefaciens;F2:Bacillus coagulans and 2 strains ***;F3:***,Bacillus licheniformis and 2 strains ***;F5:Bacillus subtilis,*** and 2 strains ***),positive control(PC),and a negative control antibiotic treatment group(nC).In Exp.2,a total of 360 one-day-old ROSS308 broilers were used to test five treatments(n=9)including PC,nC,F1 and F5(selected from Exp.1),and F4(Bacillus pumilis and 2 strains ***)in a maize-soybean *** F1 demonstrated a significant improvement in feed conversion ratio(FCR)compared to F2 at d 14(1.49 vs 2.10;P=0.038)and the body weight(BW)at d 21(847.0 g vs 787.4 g)compared to other combinations(P=0.027).The FCR at d 21 tended to be lower in birds fed F1(1.46 vs 1.66)compared to the control(P=0.068).Probiotic treatments had significantly improved nutrient digestibility compared to the PC and ***,probiotic treatments supported the growth of Streptococcus,a common commensal genus and reduced the abundance of genera that correlated with low weight gain such as *** two revealed that F4 improved FCR(Pnd BW at 28 d(P=0.014).In vitro testing showed a high production of protease and amylase by ***,the addition of Bacillus probiotics,particularly containing *** strains and Bacillus pumilus,into the diet of broiler chickens improves

关键词： Broiler Probiotic Bacillus Gut health Microbial profile

Highly enhanced UV absorption and light emission of monolayer WS_(2)through hybridization with Ti_(2)n MXene quantum dots and g-C_(3)n_(4)quantum dots

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Opto-Electronic Advances 2024年第6期7卷 31-39页

作者： Anir S.Sharbirin Rebekah E.Kong Wendy B.Mato trang Thu tran Eunji Lee Jolene W.P.Khor Afrizal L.Fadli Jeongyong Kim Department of Energy Science Sungkyunkwan UniversitySuwon 16419Republic of Korea

Two-dimensional(2D)transition metal dichalcogenides(TMD)are atomically thin semiconductors with promising optoelectronic applications across the visible ***,their intrinsically weak light absorption and the low photoluminescence quantum yield(PLQY)restrict their performance and potential use,especially in ultraviolet(UV)wavelength light *** dots(QD)derived from 2D materials(2D/QD)provide efficient light absorption and emission of which energy can be tuned for desirable light *** this study,we greatly enhanced the photon absorption and PLQY of monolayer(1L)tungsten disulfide(WS_(2))in the UV range via hybridization with 2D/QD,particularly titanium nitride MXene QD(Ti_(2)n MQD)and graphitic carbon nitride QD(GCnQD).With the hybridization of MQD or GCnQD,1LWS_(2)showed a maximum PL enhancement by 15 times with 300 nm wavelength excitation,while no noticeable enhancement was observed when the excitation photon energy was less than the bandgap of the QD,indicating that UV absorption by the QD played a crucial role in enhancing the light emission of 1L-WS_(2)in our 0D/2D hybrid *** findings present a convenient method for enhancing the photo-response of 1L-WS_(2)to UV light and offer exciting possibilities for harvesting UV energy using 1L-TMD.

关键词： monolayer TMD WS_(2) 2D-derived quantum dots UV absorption energy transfer

Universal silicon ring resonator for error-free transmission links

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Photonics Research 2024年第4期12卷 701-711页

作者： JUnBO ZHU WEIWEI ZHAnG KE LI BHARAT PAnT MARTIn EBERT XInGZHAO YAn MEHDI BAnAKAR DEHn T.tran CALLUM G.LITTLEJOHnS FUWAn GAn GRAHAM REED DAVID J.THOMSOn Optoelectronics Research Centre University of SouthamptonSouthampton SO171BJUK national Key Laboratory of Materials for Integrated Circuits Shanghai Institute of Microsystem and Information TechnologyChinese Academy of SciencesShanghai 200050China University of Chinese Academy of Sciences Beijing 100049China Peng Cheng Laboratory ShenzhenChina

We report the design, fabrication, and characterization of a universal silicon Pn junction ring resonator for C band error-free communication links operated up to 50 Gb/s with co-designed optical modulation and detection performance. The universal p-n junction ring device shows co-designed detection responsivity up to 0.84 A/W, in conjunction with a modulation efficiency of -4 V·mm and>8 d B optical modulation extinction ratio, enabling C band 50 Gb/s nRZ communication link with a bit error rate≤3×10^(-12).

关键词： Gb/s resonator communication

Interaction of photons with silver and indium nuclei at energies up to 20 MeV

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Chinese Physics C 2024年第2期48卷 135-140页

作者： J.H.Khushvaktov M.A.Demichev D.L.Demin S.A.Evseev M.I.Gostkin V.V.Kobets F.A.Rasu-lova S.V.Rozov E.T.Ruziev A.A.Solnyshkin T.n.tran E.A.Yakushev B.S.Yuldashev Joint Institute for nuclear Research(JInR) DubnaRussia Institute of nuclear Physics of the Academy of Sciences of the Republic of Uzbekistan(InP ASRU) TashkentUzbekistan Institute of Physics of the Vietnam Academy of Science and Technology(IP VAST) HanoiVietnam

The yields of photonuclear reactions in the 107Ag,113In,and 115In nuclei were *** Carlo simulations were performed using the Geant4 code,and the results were compared with the experimental *** isomeric ratios of the yields in the reactions 107Ag(γ,n)106m,gAg and 113In(γ,m)112m,gIn were determined,and the cross sections for the reactions 107Ag(γ,n)106gAg and 107Ag(γ,2n)105Ag at an energy of 20 MeV were calculated based on the experimental data.

关键词： 107Ag(γ,n)10mgAg and I13In(γ,n)12m-2In reactions cross section yield isomeric ratio simula-tion Geant4 TALYS

A High-order Coupled Compact Integrated RBF Approximation Based Domain Decomposition Algorithm for Second-order Differential Problems

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Computer Modeling in Engineering & Sciences 2015年第4期104卷 251-304页

作者： C.M.T.Tien n.Pham-Sy n.Mai-Duy C.-D.tran T.tran-Cong Computational Engineering and Science Research Centre Faculty of HealthEngineering and SciencesThe University of Southern QueenslandToowoombaQueensland 4350Australia

This paper presents a high-order coupled compact integrated RBF(CC IRBF)approximation based domain decomposition(DD)algorithm for the discretisation of second-order differential *** Schwarz DD algorithms,including one-level additive/multiplicative and two-level additive/multiplicative/hybrid,are *** CCIRBF based DD algorithms are analysed with different mesh sizes,numbers of subdomains and overlap sizes for Poisson *** convergence analysis shows that the CCIRBF two-level multiplicative version is the most effective algorithm among various schemes employed ***,the present CCIRBF two-level method converges quite rapidly even when the domain is divided into many subdomains,which shows great promise for either serial or parallel *** practical tests,we then incorporate the CCIRBF into serial and parallel two-level multiplicative *** numerical examples,including those governed by Poisson and navier-Stokes equations are analysed to demonstrate the accuracy and efficiency of the serial and parallel algorithms implemented with the *** results show:(i)the CCIRBF-Serial and-Parallel algorithms have the capability to reach almost the same solution accuracy level of the CCIRBF-Single domain,which is ideal in terms of computational calculations;(ii)the CCIRBF-Serial and-Parallel algorithms are highly accurate in comparison with standard finite difference,compact finite difference and some other schemes;(iii)the proposed CCIRBF-Serial and-Parallel algorithms may be used as alternatives to solve large-size problems which the CCIRBF-Single domain may not be able to deal *** ability of producing stable and highly accurate results of the proposed serial and parallel schemes is believed to be the contribution of the coarse mesh of the two-level domain decomposition and the CCIRBF *** is noted that the focus of this paper is on the derivation of highly accurate serial and parallel algorithms

关键词： Coupled compact integrated RBF (CCIRBF) Schwarz domain decomposition one-level two-level coarse meshes additive multiplicative hybrid serial parallel colouring technique Poisson equation naiver-Stokes equation liddriven cavity

High-speed silicon photonic electro-optic Kerr modulation

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Photonics Research 2024年第1期12卷 51-60页

作者： JOnATHAn PELTIER WEIWEI ZHAnG LEOPOLD VIROT CHRISTIAn LAFFORGUE LUCAS DEnIEL DELPHInE MARRIS-MORInI GUY AUBIn FARAH AMAR DEnH tran XInGZHAO YAn CALLUM G.LITTLEJOHnS CARLOS ALOnSO-RAMOS KE LI DAVID J.THOMSOn GRAHAM REED LAUREnT VIVIEn University Paris-Saclay CNRSCentre for Nanoscience and Nanotechnology(C2N)Palaiseau 91120France University Grenoble Alpes CEALETIGrenoble 38000France Optoelectronics Research Centre Zepler Institute for Photonics and NanoelectronicsFaculty of Engineering and Physical SciencesUniversity of SouthamptonSouthampton SO171BJUK

Silicon-based electro-optic modulators contribute to easing the integration of high-speed and low-power consumption circuits for classical optical communications and data *** the plasma dispersion modulation,an alternative solution in silicon is to exploit the DC Kerr effect,which generates an equivalent linear electro-optical effect enabled by applying a large DC electric *** some theoretical and experimental studies have shown its existence in silicon,limited contributions relative to plasma dispersion have been achieved in high-speed modulation so *** paper presents high-speed optical modulation based on the DC Kerr effect in silicon PIn *** contributions of both plasma dispersion and Kerr effects have been analyzed in different waveguide configurations,and we demonstrated that the Kerr induced modulation is dominant when a high external DC electric field is applied in PIn ***-speed optical modulation response is analyzed,and eye diagrams up to 80 Gbit/s in nRZ format are obtained under a *** of 30 *** work paves the way to exploit the Kerr effect to generate high-speed Pockels-like optical modulation.

关键词： waveguide dispersion effect