NONLOCAL

作品数:461被引量:546H指数:9
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相关领域:理学自动化与计算机技术更多>>
相关作者:罗宏姚桂林姚鸿勋李敏刘绍辉更多>>
相关机构:四川师范大学中国科学技术大学兰州理工大学哈尔滨商业大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金国家重点基础研究发展计划中国博士后科学基金更多>>
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Size-dependent axisymmetric bending and buckling analysis of functionally graded sandwich Kirchhoff nanoplates using nonlocal strain gradient integral model
《Applied Mathematics and Mechanics(English Edition)》2025年第3期467-484,共18页Chang LI Hai QING 
Project supported by the National Natural Science Foundation of China(No.12172169);the Priority Academic Program Development of Jiangsu Higher Education Institutions。
This paper extends the one-dimensional(1D)nonlocal strain gradient integral model(NStraGIM)to the two-dimensional(2D)Kirchhoff axisymmetric nanoplates,based on nonlocal strain gradient integral relations formulated al...
关键词:size effect nonlocal strain gradient integral model(NStraGIM) BENDING buckling Kirchhoff annular/circular nanoplate functionally graded(FG)sandwich material 
BIOLOGICAL INVASION PROBLEM WITH FREE BOUNDARY NONLOCAL DIFFUSION EQUATION
《数学杂志》2025年第1期48-56,共9页HE Yu-rong ZHANG Ya-rong 
Supported by National Natural Science Foundation of China(12101482);Postdoctoral Science Foundation of China(2022M722604);General Project of Science and Technology of Shaanxi Province(2023-YBSF-372);The Natural Science Foundation of Shaan Xi Province(2023-JCQN-0016);Shannxi Mathmatical Basic Science Research Project(23JSQ042)。
In order to better describe the phenomenon of biological invasion,this paper introduces a free boundary model of biological invasion.Firstly,the right free boundary is added to the equation with logistic terms.Secondl...
关键词:Free boundary biological invasion differential equation 
PINN for solving forward and inverse problems involving integrable two-dimensional nonlocal equations
《Communications in Theoretical Physics》2025年第2期13-20,共8页Xi Chen Wei-Qi Peng 
In this paper,the physics informed neural network(PINN)deep learning method is applied to solve two-dimensional nonlocal equations,including the partial reverse space y-nonlocal Mel'nikov equation,the partial reverse ...
关键词:two dimensional nonlocal equations PINN soliton solution rogue wave inverse problems 
On the Riemann-Hilbert problem for the reverse space-time nonlocal Hirota equation with step-like initial data
《Communications in Theoretical Physics》2025年第2期30-38,共9页Bei-Bei Hu Ling Zhang Zu-Yi Shen Ji Lin 
supported by the National Natural Science Foundation of China under Grant No.12147115;the Discipline(Subject)Leader Cultivation Project of Universities in Anhui Province under Grant Nos.DTR2023052 and DTR2024046;the Natural Science Research Project of Universities in Anhui Province under Grant No.2024AH040202;the Young Top Notch Talents and Young Scholars of High End Talent Introduction and Cultivation Action Project in Anhui Province;the Scientific Research Foundation Funded Project of Chuzhou University under Grant Nos.2022qd022 and 2022qd038。
In this paper,we use the Riemann-Hilbert(RH)method to investigate the Cauchy problem of the reverse space-time nonlocal Hirota equation with step-like initial data:q(z,0)=o(1)as z→-∞and q(z,0)=δ+o(1)as z→∞,where...
关键词:nonlocal Hirota equation Cauchy problem Riemann-Hilbert problem step-like initial data 
A Review of the Numerical Methods for Diblock Copolymer Melts
《Computers, Materials & Continua》2025年第2期1811-1838,共28页Youngjin Hwang Seungyoon Kang Junseok Kim 
This review paper provides a comprehensive introduction to various numerical methods for the phase-field model used to simulate the phase separation dynamics of diblock copolymer melts.Diblock copolymer systems form c...
关键词:Nonlocal cahn–hilliard PHASE-FIELD diblock copolymer melts Ohta–Kawasaki model numerical methods pattern formation 
Long-time asymptotic behavior for the nonlocal nonlinear Schrödinger equation in the solitonic region
《Science China Mathematics》2025年第2期379-398,共20页Gaozhan Li Yiling Yang Engui Fan 
supported by National Natural Science Foundation of China(Grant Nos.12271104,51879045,12247182).
In this paper,we extend the δ^(-)-steepest descent method to study the Cauchy problem for the nonlocal nonlinear Schrödinger(NNLS)equation with weighted Sobolev initial data iqt+qxx+2σq^(2)(x,t)q(−x,t)=0,q(x,0)=q0(x...
关键词:nonlocal nonlinear Schrödinger equation Riemann-Hilbert problem δ^(-)-steepest descent method soliton resolution 
Exact controllability of mild solutions for a class of semilinear differential equations
《Frontiers of Mathematics in China》2024年第6期357-366,共10页Jianli LI Lizhen CHEN Gang LI 
In this paper,by using the noncompact measure,we study the exact controllability of mild solutions for semilinear differential equation when the nonlocal term is Lipschitz continuous in general Banach space.Here,the r...
关键词:EXACT CONTROLLABILITY noncompact MEASURE SEMILINEAR DIFFERENTIAL equation NONLOCAL condition 
Locally distinguishing genuinely nonlocal sets with entanglement resource
《Communications in Theoretical Physics》2024年第12期42-49,共8页Qiao Qiao Su-Juan Zhang Chen-Ming Bai Lu Liu 
supported by the National Natural Science Foundation of China under grant 12301590;the Natural Science Foundation of Hebei Province under grant A2022210002。
A set of orthogonal product states is deemed genuinely nonlocal if they remain locally indistinguishable under any bipartition.In this paper,we first construct a genuinely nonlocal product basis BⅠ(5,3)in C^(5)×C^(5...
关键词:local discrimination genuinely nonlocal entanglement-assisted discrimination 
A Singular Limit in a Non-Local Reaction-Diffusion Equation in Periodic Media
《Journal of Applied Mathematics and Physics》2024年第12期4057-4076,共20页Yu Wei 
In this paper, we provide an asymptotic analysis of a nonlocal reaction-diffusion equation and with a non-local stable operator of order α∈(0,1). Firstly, we prove the existence and uniqueness of positive and bounde...
关键词:Nonlocal Fractional Operator Exponential Speed of Propagation ASYMPTOTICS 
Traveling wave solutions for a three-component noncooperative systems arising in nonlocal diffusive biological models
《International Journal of Biomathematics》2024年第7期187-216,共30页Ran Zhang Hongyong Zhao 
supported by National Natural Science Foundation of China(Nos.11971013,12101309);the Fundamental Research Funds for the Colleges and Universities in Heilongjiang Province(No.2022-KYYWF-1113).
This paper aims to study the existence of traveling wave solutions(TWS)for a three-component noncooperative systems with nonlocal diffusion.Our main results reveal that when a threshold R>1,there exists a critical wav...
关键词:Traveling wave solution nonlocal diffusion biological model Schauder's fixed point theorem noncooperative systems 
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