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饱和土一维有限应变固结控制方程辨析: 《岩土工程学报》2025年第4期829-839,共11页王玮瑜雷国辉赵鑫戴传杰谷遇溪; 国家自然科学基金项目(52178326);江苏省研究生科研与实践创新计划项目(KYCX23_0697)。; 饱和土的一维有限应变固结控制方程存在多种表达形式,有Eulerian描述和Lagrangian描述,各有不同的控制变量,包括孔隙率、孔隙比、应变、固结比和超静孔压。为明辨其适用条件,考虑固相的压缩性,建立了两种描述方法间基于孔隙率、孔隙比...; 关键词：固相和液相压缩性 Eulerian和Lagrangian空间和时间转换自然应变固相和液相惯性达西定律

The SYZ Conjecture through Computational Equivalence: 《Advances in Pure Mathematics》2025年第2期145-181,共37页Logan Nye; We present a proof of the Strominger-Yau-Zaslow (SYZ) conjecture by demonstrating that mirror symmetry fundamentally represents an equivalence of computational structures between Calabi-Yau manifolds. Through developm...; 关键词：Mirror Symmetry Calabi-Yau Manifolds SYZ Conjecture Quantum Complexity Special Lagrangian Fibration

等径单级气体炮的内弹道半解析计算模型: 《火炮发射与控制学报》2025年第1期122-128,共7页缪伟尹强; 气体炮的炮口速度应能在弹丸发射前以足够的精度被确定。为了预测等直径单级气体炮的内弹道性能,研究了描述理想内弹道过程中一维气体流动的数学模型。运用分离变量法得到气流的控制方程中的气体参数的空间分布函数以及弹底处气体参数...; 关键词：气体炮内弹道分离变量法 Lagrangian格式

Symmetries of Fractional Constrained Hamiltonian System Described by the Singular Lagrangian: 《Wuhan University Journal of Natural Sciences》2024年第6期547-557,共11页WANG Cai SONG Chuanjing; Supported by the National Natural Science Foundation of China (12172241, 12272248);the Qing Lan Project of Colleges and Universities in Jiangsu Province。; Singular systems within combined fractional derivatives are established.Firstly,the fractional Lagrange equation is analyzed.Secondly,the fractional primary constraint is given.Thirdly,the Noether and Lie symmetry met...; 关键词：combined fractional derivative constrained Hamilton equation conserved quantity Noether symmetry Lie symmetry

Optimality Conditions for Double-sparsity Constrained Optimization: 《数学进展》2024年第6期1145-1157,共13页WANG Dongrui XIU Naihua ZHOU Shenglong; Supported by the National Key R&D Program of China(No.2023YFA1011100);NSFC(No.12131004)。; Sparse optimization has witnessed advancements in recent decades,and the step function finds extensive applications across various machine learning and signal processing domains.This paper integrates zero norm and the...; 关键词：double-sparsity constrained optimization Lagrangian stationary point KKT point optimality condition

A synthetic autonomous profiling float array in a Lagrangian particle tracking system: 《Acta Oceanologica Sinica》2024年第12期34-46,共13页Tianyu Wang Zenghong Liu Yan Du; The National Natural Science Foundation of China under contract Nos 42106022 and 42106024;the National Key Research and Development Program of China under contract No.2021YFC3101502;the Fund of Laoshan Laboratory under contract No.LSKJ202201500;the Fund of Southern Marine Science and Engineering Guangdong Laboratory(Zhuhai)under contract No.SML2021SP102;the Fund of Chinese Academy of Sciences under contract Nos 133244KYSB20190031,183311KYSB20200015,and SCSIO202201。; Over the past two decades,numerous countries have actively participated in the International Argo Program,working toward the global“OneArgo”goal.China's Argo program has deployed over 500 autonomous profiling floats...; 关键词：Lagrangian particles autonomous profiling float array trajectory simulation probability density functions

Patterns and mechanism of wintertime penetrating fronts in the East China Sea: 《Science China Earth Sciences》2024年第11期3500-3514,共15页Peng YE Daji HUANG Jiliang XUAN Shuangyan HE; supported by the National Natural Science Foundation of China (Grant Nos. 42230404 & 42276021);the National Key R&D Program of China (Grant Nos. 2022YFC3103402 & 2023YFD2401904);the Zhejiang Provincial Natural Science Foundation of China (Grant No. LY21D060003);the high-performance computing cluster of the State Key Laboratory of Satellite Ocean Environment Dynamics。; Penetrating fronts play an important role in the cross-shelf transport of terrestrial materials in the East China Sea(ECS). Using long-term satellite remote sensing data and numerical simulation data, the most likely ...; 关键词：Penetrating fronts Satellite-derived chlorophyll Lagrangian tracer experiments Synoptic-scale fluctuation Western Kuroshio Branch

An Updated Lagrangian Particle Hydrodynamics (ULPH)-NOSBPD Coupling Approach forModeling Fluid-Structure Interaction Problem: 《Computer Modeling in Engineering & Sciences》2024年第10期491-523,共33页Zhen Wang Junsong Xiong Shaofan Li Xin Lai Xiang Liu Lisheng Liu; open foundation of the Hubei Key Laboratory of Theory and Application of Advanced Materials Mechanics;the Open Foundation of Hubei Key Laboratory of Engineering Structural Analysis and Safety Assessment.; A fluid-structure interaction approach is proposed in this paper based onNon-Ordinary State-Based Peridynamics(NOSB-PD)and Updated Lagrangian Particle Hydrodynamics(ULPH)to simulate the fluid-structure interaction pro...; 关键词：Fluid-structure interaction(FSI) updated lagrangian particle hydrodynamics PERIDYNAMICS meshfree method

Dynamic Modeling of Robotic Manipulator via an Augmented Deep Lagrangian Network: 《Tsinghua Science and Technology》2024年第5期1604-1614,共11页Shuangshuang Wu Zhiming Li Wenbai Chen Fuchun Sun; supported by the National Natural Science Foundation of China(No.62276028);Major Research Plan of the National Natural Science Foundation of China(No.92267110);Beijing Municipal Natural Science Foundation—Xiaomi Joint Innovation Fund(No.L233006);Beijing Information Science and Technology University School Research Fund(No.2023XJJ12).; Learning the accurate dynamics of robotic systems directly from the trajectory data is currently a prominent research focus.Recent physics-enforced networks,exemplified by Hamiltonian neural networks and Lagrangian ne...; 关键词：deep Lagrangian network nonconservative dynamics multi-degree manipulator inverse dynamic modeling

Information manifold and fault detection of multi-agent systems: 《Chinese Journal of Aeronautics》2024年第10期410-423,共14页Ruotong QU Bin JIANG Yuehua CHENG Xiaodong HAN; supported by the National Natural Science Foundation of China (No. 62020106003);the Natural Science Foundation of Jiangsu Province of China (No. BK20222012);the Natural Science Foundation Integration Project,China (No. U22B6001); With the increase of the number of agents in multi-agent systems and the rapid increase of the complexity of the overall structure of the system,the fault detection and diagnosis work has brought great challenges.Rese...; 关键词：Multi-Agent Systems(MASs) Fault information manifold LAGRANGIAN Fault detection Energy-momentum Tensor

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