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ERROR ANALYSIS OF VIRTUAL ELEMENT METHODS FOR THE TIME-DEPENDENT POISSON-NERNST-PLANCK EQUATIONS: 《Journal of Computational Mathematics》2025年第3期731-770,共40页Ying Yang Ya Liu Yang Liu Shi Shu; supported by the China NSF(NSFC 12161026);by the Special Fund for Scientific and Technological Bases and Talents of Guangxi(Grant No.Guike AD23026048);by the Guangxi Natural Science Foundation,China(Grant No.2020GXNSFAA159098);supported by the China NSF(NSFC 12371373);supported by the GUET Excellent Graduate Thesis Program(Grant No.2020YJSPYA02).; We discuss and analyze the virtual element method on general polygonal meshes for the time-dependent Poisson-Nernst-Planck(PNP)equations,which are a nonlinear coupled system widely used in semiconductors and ion chann...; 关键词：Virtual element method Error estimate Poisson-Nernst-Planck equations Polygonal meshes Energy projection Gummel iteration

Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory: 《Acta Mathematicae Applicatae Sinica》2025年第2期498-512,共15页Yu-ming QIN Xiao-ling CHEN; supported by the National Natural Science Foundation of China(No.12171082);the Fundamental Research Funds for the Central Universities(No.2232023G-13).; In this paper,we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term f satisfies critical exponential growth and the external force g(x)∈L^(2)...; 关键词：time-dependent global attractors nonclassical diffusion equation fading memory time-dependent spaces long-time behavior

TIME MULTIPOINT NONLOCAL PROBLEM FOR A STOCHASTIC SCHRÖDINGER EQUATION: 《Journal of Computational Mathematics》2025年第2期369-393,共25页Roger Pettersson Ali Sirma Tarkan Aydin; A time multipoint nonlocal problem for a Schrödinger equation driven by a cylindrical Q-Wiener process is presented.The initial value depends on a finite number of future values.Existence and uniqueness of a solution ...; 关键词：Time nonlocal problem Mild solution Cylindrical Wiener process Time discretization Abstract time-dependent stochastic Schrödinger equation Euler-Maruyama method

A unique time-dependent deformation behavior of coral reef limestone: 《Journal of Rock Mechanics and Geotechnical Engineering》2025年第3期1862-1875,共14页Kai Wu Qingshan Meng Le Luo Qinglong Qin Chi Wang Xinzhi Wang Tianli Shen Haozhen Ding; supported by the National Natural Science Foundation of China(Grant Nos.41877267,41877260);the Priority Research Program of the Chinese Academy of Science(Grant No.XDA13010201).; Catastrophic failure in engineering structures of island reefs would occur when the tertiary creep initiates in coral reef limestone with a transition from short-to long-term load.Due to the complexity of biological s...; 关键词：Coral reef limestone Time-dependent deformation Creep mechanism Constitutive model

Time-dependent color-tunable room temperature phosphorescence from unusual conformational transitions in phenothiazine polymers under UV irradiation: 《Science China Chemistry》2025年第3期1091-1098,共8页Jiwen Lu Yifan Niu Chanjuan Jin Chengheng Wu Hanyu Wang Yan Guan Ping Wang Xinghe Fan; supported by the National Natural Science Foundation of China (22175149);the Natural Science Foundation of Hunan Province (NSFH 2021JJ30661)。; Achieving color-tunable room-temperature phosphorescence(RTP),especially including blue RTP from a single-component polymer still faces a formidable challenge.Herein,we wisely choose conformation-dependent phenothiazi...; 关键词：polymeric room temperature phosphorescence color-tunable phosphorescence conformation-dependent TIME-DEPENDENT blue phosphorescence

Gamma-glutamyl transferase-to-lymphocyte ratio as a prognostic marker in patients with hepatocellular carcinoma undergoing hepatectomy: 《World Journal of Gastrointestinal Surgery》2025年第2期64-76,共13页Peng-Cheng Zhou Rui Huang Hai-Tao Wang Jun Yang Jian-Dong Peng Zi-Xuan Fu Wen-Jun Liao Hai-Qiang Ma Lin-Quan Wu En-Liang Li; Supported by the National Natural Science Foundation of China,No.82060447 and No.82260553;the Key Project of Jiangxi Provincial Natural Science Foundation,No.20224ACB206035;the General Project of Jiangxi Provincial Natural Science Foundation,No.20232BAB206109;Jiangxi Provincial Natural Science Foundation,No.20242BAB26002;the Youth Project of Jiangxi Provincial Natural Science Foundation,No.20224BAB216057.; BACKGROUND We investigated the utility of gamma-glutamyl transferase-to-lymphocyte ratio(GLR)as a predictive indicator for postoperative survival in patients with hepatocellular carcinoma(HCC)across different time per...; 关键词：Hepatocellular carcinoma BIOMARKER Survival TIME-DEPENDENT NOMOGRAM

Simulation of sand and mud transport processes in curents and waves by time-dependent 2DV model: 《International Journal of Sediment Research》2025年第1期1-14,共14页Leo van Rijn Karel Meijer Kris Dumont Jan Fordeyn; This paper presents a time-dependent,two-dimensional vertical model for the simulation of sand and mud concentrations,transport and bed level changes in tidal conditions with or without surface waves.The model solves ...; 关键词：Tidal sand-mud transport Fluidmud transport Channel dredging predictions Erosion predictions

In an Ocean or a River:Bilinear Auto-Backlund Transformations and Similarity Reductions on an Extended Time-Dependent(3+1)-Dimensional Shallow Water Wave Equation: 《China Ocean Engineering》2025年第1期160-165,共6页GAO Xin-yi; financially supported by the Scientific Research Foundation of North China University of Technology(Grant Nos.11005136024XN147-87 and 110051360024XN151-86).; With respect to oceanic fluid dynamics,certain models have appeared,e.g.,an extended time-dependent(3+1)-dimensional shallow water wave equation in an ocean or a river,which we investigate in this paper.Using symbolic...; 关键词：OCEAN RIVER extended time-dependent(3+1)-dimensional shallow water wave equation bilinear auto-Bäcklund transformation similarity reduction symbolic computation

A decoupled method for time-dependent reliability-based design optimization: 《Science China(Technological Sciences)》2025年第1期308-320,共13页Dequan ZHANG Meide YANG Xu HAN; supported by the National Science Foundation for Excellent Young Scholars(Grant No.52422507);the National Natural Science Foundation of China(Grant Nos.52305256,52275244);Postdoctoral Fellowship Program of CPSF(Grant No.GZC20230661);China Postdoctoral Science Foundation(Grant Nos.2024T170211,2023M740970)。; Time-dependent reliability-based design optimization(TRBDO)has received extensive attention because of its ability to achieve optimal solutions that help meet the requirement for whole lifecycle reliability by quantit...; 关键词：reliability-based design optimization dynamic uncertainties time-dependent reliability analysis decoupled method sequential optimization and reliability analysis

Time-Dependent Transcriptional Dynamics of Contextual Fear Memory Retrieval Reveals the Function of Dipeptidyl Peptidase 9 in Reconsolidation: 《Neuroscience Bulletin》2025年第1期16-32,共17页Wen-Ting Guo Wen-Xing Li Yu-Chen Liu Ya-Bo Zhao Lin Xu Qi-Xin Zhou; supported by the STI2030-Major Projects(2022ZD0204900);the National Natural Science Foundation of China(32071029 and 32271080);the Strategic Priority Research Program of the Chinese Academy of Sciences(XDB32020200);the Yunnan Provincial Science and Technology Department(202402AA310014).; Numerous studies on the formation and consolidation of memory have shown that memory processes are characterized by phase-dependent and dynamic regulation.Memory retrieval,as the only representation of memory content ...; 关键词：Transcriptome analysis Temporal gene expression Fear memory retrieval RECONSOLIDATION DPP9

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