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...
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...
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 ...
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...
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...
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...
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...
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...
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...
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...