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FOURIER: 作品数：976被引量：1639H指数：16; 导出分析报告; 相关领域：理学更多>>; 相关作者：符力耘马晓波吕扬朱孟华包立平更多>>; 相关机构：中国科学院上海交通大学哈尔滨工业大学中国石油大学（华东）更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家高技术研究发展计划广东省自然科学基金更多>>

三维可压缩Navier-Stokes-Fourier方程组的精确时间衰减率: 《中国科学:数学》2025年第3期605-634,共30页陈玉惠潘荣华; 国家重点研发计划(批准号:2023YFA1010300);美国国家自然科学基金(批准号:DMS-1813603和DMS-2108453)资助项目。; 本文研究三维可压缩Navier-Stokes-Fourier方程组在全空间中的解U(t,x)趋近恒稳态U=(ρ>0,0,θ>0)的精确时间衰减率.当初始值是在U附近的光滑小扰动时,本文通过证明U(t,x)与根据初始扰动演化的相应线性化问题的解Ue(t,x)具有相同的衰减...; 关键词：可压缩Navier-Stokes-Fourier方程组精确衰减率谱分析能量方法

二维简化重力两层半模型全局解的存在性和衰减率: 《纯粹数学与应用数学》2025年第1期71-88,共18页杨琪萌李自来; 国家自然科学基金(11571280).; 本文主要研究二维简化重力两层半模型解的整体存在性和大时间行为.首先假设初始数据(ρ_(10),u_(10),ρ_(20),u_(20))的H^(2)范数充分小,通过能量方法建立了整体解的存在性.另外,如果初始数据属于Besov空间B_(2,∞)^(-1),应用Fourier分...; 关键词：两层半模型 BESOV空间 Fourier分频方法时间衰减率

Simulation of lubrication on rough surfaces with multiscale lubrication neural networks: 《Science China(Technological Sciences)》2025年第3期192-203,共12页Yihu TANG Li HUANG Limin WU Xianghui MENG; supported by the National Natural Science Foundation of China(Grant No.52130502);the National Key Laboratory of Marine Engine Science and Technology(Grant No.LAB2023-06-WD)。; The simulation of lubrication on rough surfaces is essential for the design and optimization of tribological performance.Although the application of physics-informed neural networks(PINNs)in analyzing hydrodynamic lub...; 关键词：physics-informed neural network Fourier feature embedding multiscale lubrication rough surface

Masking quantum information in multipartite systems via Fourier and Hadamard matrices: 《Communications in Theoretical Physics》2025年第2期99-109,共11页Chen-Ming Bai Meng-Ya Wang Su-Juan Zhang Lu Liu; supported by the National Natural Science Foundation of China under Grant No.12301590;Natural Science Foundation of Hebei Province under Grant No.A2022210002。; Quantum information masking(QIM)is a crucial technique for protecting quantum data from being accessed by local subsystems.In this paper,we introduce a novel method for achieving1-uniform QIM in multipartite systems u...; 关键词：multipartite systems quantum information masking Fourier matrix orthogonal arrays

On the Initial Layer and the Limit Behavior for Chemotaxis System with the Effect of Fluid in Fourier Space: 《Acta Mathematicae Applicatae Sinica》2024年第4期1015-1024,共10页Jian-xiang WAN Hai-ping ZHONG; partial supported by the National Natural Science Foundation of China(Grant Nos.71774073,71988101);Social Scienceof Jiangxi Provincial(Grant No.20YJ02);Natural Science Foundation of Jiangxi Provincial(Grant No.20171BAA208019);partial supported by Jiangxi Provincial Department of Education Science and Technology Research Project(GJJ213110)。; The paper deals with a Cauchy problem for the chemotaxis system with the effect of fluid■where d≥2.It is known that for each∈>0 and all sufficiently small initial data(u_(0),n_(0),c_(0))belongs to certain Fourier s...; 关键词：chemotaxis system initial layer limit behavior Fourier space

Approximation by Convolution Translation Networks on Conic Domains: 《Acta Mathematica Sinica,English Series》2024年第12期3127-3150,共24页Bao Huai SHENG Dao Hong XIANG; supported by the National Natural Science Foundation of China(Grant No.61877039);the NSFC/RGC Joint Research Scheme(Grant Nos.12061160462 and N_CityU102/20)of China;supported by the National Natural Science Foundation of China(Grant No.12471487);the Zhejiang Provincial Natural Science Foundation of China(Grant No.LY23A010009)。; We give investigations on the approximation order of translation networks produced by the convolution translation operators defined on a Jacobi cone and the surface cone.We deal with the convolution translation from t...; 关键词：Fourier orthogonal series conic domain localized kernel translation network density approximation order

时间分数阶Fisher方程的高精度数值解法: 《厦门大学学报（自然科学版）》2024年第6期1124-1131,共8页王晶陈雪娟朱小娟; 福建省自然科学基金(2022J01338,2020J01703);福建省教育厅项目(JAT190326);集美大学基金(ZP2020062,ZP2020054);集美大学数字福建大数据建模与智能计算研究所开放基金。; [目的]时间分数阶Fisher方程可以描述流体力学、热核反应、等离子体物理和传染病传播等问题中的非线性现象.但关于该方程高效的数值格式研究成果较少,且大多采用差分法对方程进行离散.为了使分数阶Fisher方程得到更广泛的应用,本文给出...; 关键词：时间分数阶Fisher方程谱延迟校正法 Fourier-Galerkin谱方法稳定性收敛性

分数阶Boussinesq-Coriolis方程在变指数Fourier-Besov空间中解的整体适定性和正则性: 《吉林大学学报（理学版）》2024年第5期1043-1051,共9页李风娟孙小春吴育联; 国家自然科学基金(批准号:11601434)。; 基于变指数Fourier-Besov函数空间理论,利用Littlewood-Paley分解工具、 Fourier局部化方法和Banach压缩映射原理,通过建立线性项与非线性项的估计,证明分数阶Boussinesq-Coriolis方程在临界变指数空间FB_(P(·),q)^(4-2a-3/p(·))(R^(...; 关键词：Boussinesq-Coriolis方程变指数Fourier-Besov空间整体适定性 Gevrey类正则性

Large Solutions to the Generalized Debye-Hückel System in Fourier-Besov Spaces: 《数学进展》2024年第5期1059-1070,共12页XIAO Weiliang ZHOU Xuhuan; Supported by Natural Science Foundation of Jiangsu Province(No.BK20200587)。; The special structure in some coupled equations makes it possible to drop partial smallness assumption of the initial data to gain the global well-posedness.In this paper,we study the Cauchy problem for generalized De...; 关键词：Debye-Huckel system solution with large initial data Fourier-Besov space

Practical representation of flows due to general singularity distributions for ships steadily advancing in calm water of finite depth: 《Journal of Hydrodynamics》2024年第5期968-990,共23页Huiyu Wu Ren-chuan Zhu Jiayi He; supported by the China Postdoctoral Science Foundation(Grant No.2021M692044).; Flow around a ship that advances at a constant speed V in calm water of uniform finite depth D is considered within the practical,realistic and commonly-used framework of the Green-function and boundary-integral metho...; 关键词：Ship waves finite water depth singularity distributions Green function Fourier-Kochin method

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