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5,099 results on '"Tang, Chun"'

109. Least energy sign-changing solutions for Schrödinger-Poisson systems with potential well

Author

Chen Xiao-Ping and Tang Chun-Lei

Subjects
schrödinger-poisson system, sign-changing solutions, variational methods, 35a15, 35b38, 35j50, Mathematics, QA1-939
Abstract

In this article, we investigate the existence of least energy sign-changing solutions for the following Schrödinger-Poisson system −Δu+V(x)u+K(x)ϕu=f(u),x∈R3,−Δϕ=K(x)u2,x∈R3,\left\{\begin{array}{ll}-\Delta u+V\left(x)u+K\left(x)\phi u=f\left(u),\hspace{1.0em}& x\in {{\mathbb{R}}}^{3},\\ -\Delta \phi =K\left(x){u}^{2},\hspace{1.0em}& x\in {{\mathbb{R}}}^{3},\\ \hspace{1.0em}\end{array}\right. where the functions V(x),K(x)V\left(x),K\left(x) have finite limits as ∣x∣→∞| x| \to \infty satisfying some mild assumptions. By combining variational methods with the global compactness lemma, we obtain a least energy sign-changing solution with exactly two nodal domains, and its energy is strictly larger than twice that of least energy solutions.

Published
2022
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116. Picometer-Scale Atomic Shifts Governing Subdisordered Structures in Diamond

Author

Cui, Junfeng, primary, Yang, Yingying, additional, Yang, Mingyang, additional, Yang, Guoyong, additional, Chen, Guoxin, additional, Zhang, Lei, additional, Lin, Cheng-Te, additional, Liu, Sha, additional, Tang, Chun, additional, Ke, Peiling, additional, Lu, Yang, additional, Nishimura, Kazuhito, additional, and Jiang, Nan, additional

Published
2024
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120. Attention‐deficit/hyperactivity disorder and dopamine receptor D4 (DRD4) exon 3 variable number of tandem repeats (VNTR) 2‐repeat allele

Author

Baum, Larry, primary, Lee, Chi Chiu, additional, Ye, Rui, additional, Zhong, Yuanxin, additional, Hung, Se Fong, additional, Tang, Chun Pan, additional, Ho, Ting Pong, additional, Swanson, James M, additional, Moyzis, Robert K, additional, Sham, Pak‐Chung, additional, and Leung, Patrick Wing‐Leung, additional

Published
2024
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128. EWCC Community Discovery Algorithm for Two-Layer Network

Author

TANG Chun-yang, XIAO Yu-zhi, ZHAO Hai-xing, YE Zhong-lin, ZHANG Na

Subjects
relational network, community discovery, two-layer network, edge weight, connected branch, Computer software, QA76.75-76.765, Technology (General), T1-995
Abstract

Aiming at the problem of community discovery in relational networks, considering the strength of interaction between nodes and information seepage mechanism, an edge weight and connected component (EWCC) community discovery algorithm based on edge weight and connected branches is innovatively proposed.In order to verify effectiveness of the algorithm, firstly, five kinds of interactive two-layer network models are constructed.By analyzing influence of interaction degree of nodes between layers on the network topology, 30 data sets generated under five kinds of two-layer network models are determined.Secondly, the real data set is selected to compare with GN algorithm and KL algorithm in the evaluation criteria of modularity, algorithm complexity and community division number.Experimental results show that EWCC algorithm has high accuracy.Then, the numerical simulation shows that with the weakening of interaction relationship between layers, the module degree is inversely proportional to number of communities, and the community division effect is better when node relationship between layers is weaker.Finally, as an application of the algorithm, the “user-APP” two-layer network is constructed based on empirical data, and the community is divided.

Published
2022
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145. Infinitely many radial and non-radial sign-changing solutions for Schrödinger equations

Author

Li Gui-Dong, Li Yong-Yong, and Tang Chun-Lei

Subjects
schrödinger equation, radial sign-changing solutions, non-radial sign-changing solutions, variational methods, principle of symmetric criticality, invariant sets of descending flow, 35a15, 35d30, 35j10, 35j20, Analysis, QA299.6-433
Abstract

In the present paper, a class of Schrödinger equations is investigated, which can be stated as −Δu+V(x)u=f(u), x∈ℝN.- \Delta u + V(x)u = f(u),\;\;\;\;x \in {{\rm{\mathbb R}}^N}. If the external potential V is radial and coercive, then we give the local Ambrosetti-Rabinowitz super-linear condition on the nonlinearity term f ∈ C(ℝ, ℝ) which assures the problem has not only infinitely many radial sign-changing solutions, but also infinitely many non-radial sign-changing solutions.

Published
2022
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150. Effect of Heat Treatment on Microstructures and Mechanical Properties of Graphene/Aluminum Composites: Insights from Atomic Simulations.

Author

Shen, Zixuan, Chen, Lei, Wang, Liya, Xia, Jun, Wang, Ruijie, and Tang, Chun

Abstract

Graphene nanoplatelets (GNPs) have significant potential as reinforcement agents in metallic materials. Understanding the interfacial structure between GNPs and an aluminum matrix (AlM) is crucial for this composite (GNPs/AlMC) design and application. Studies on the effects of heat treatment on the interfacial character and its influence on mechanical properties at the atomic scale are, therefore, of high importance. This study presents molecular dynamics simulations investigating the effects of heat treatment on the interfacial structural evolution between GNPs and AlM and how such behavior tunes mechanical performance. The results show that the number of interfacial bonds increases significantly when the heat treatment temperature reaches 900 K, below which it stays at low level. Compared with the heat treatment temperature, the pressure has less effect on the interfacial bonds of GNPs/AlMCs. Moreover, defective GNPs with pores at certain heat treatment temperatures promote the formation of Al-C bonds at the interface and improve the mechanical properties of GNPs/AlMCs. These findings underscore the potential for utilizing heat treatment and defect engineering to improve interfacial bonding and achieve improved mechanical performance in GNPs/AlMCs. [ABSTRACT FROM AUTHOR]

Published
2024
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