期刊：
Complex Variables and Elliptic Equations,2025年70(3):456-470 ISSN：1747-6933
通讯作者：
Li, LL
作者机构：
[Li, Liulan; Li, LL] Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.;[Qian, Tao] Macau Univ Sci & Technol, Macao Ctr Math Sci, Macau, Peoples R China.;[Wang, Shilin] Unitedhlth Grp, Med Informat Dept, Cypress, CA USA.
通讯机构：
[Li, LL ] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang, Hunan, Peoples R China.
摘要：
In this paper, we introduce a new member to the universal families, called universal quotient Blaschke product, which is a formal quotient of two formal infinite Blaschke products. A formal infinite Blaschke product is of the form B(z)=Pi(infinity)(k=1) z-z(k)/1-(z) over bar (k)z' where {zk}(k=1)(infinity) is a sequence of points in the unit disk but may not satisfy the Blaschke condition: Sigma(infinity)(k=1)(1 - vertical bar z(k vertical bar)) < infinity. A partial quotient of a universal quotient Blaschke product is the quotient of two finite Blaschke products. We show that the set of partial quotients of a universal quotient Blaschke product is dense in the set of continuous self-mappings on the unit circle in the complex plane. Meanwhile, subsequences of the partial quotients of a universal quotient Blaschke product can be used to approximate any holomorphic functions bounded by one on the unit disk. Moreover, we prove that the set of universal quotient Blaschke products is huge in the sense of Baire category.
关键词：
Epidemic model;Global stability;Mathematical modeling;Lyapunov function
摘要：
Asymptomatic infection is an important feature that distinguishes COVID-19 from known SARS viral diseases. In this paper, we propose a new mathematical model for virus transmission with asymptomatic infected persons, which can be used for COVID-19. We study the model by defining the basic reproduction number (R0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$R_{0}$\end{document}), showing the nonnegativity and boundedness of the solution, and constructing proper Lyapunov function, the global stability of the disease-free equilibrium and the endemic equilibrium are obtained. Numerical simulation of the model shows that the threshold of the basic reproduction number can determine the global asymptotic stability of the equilibria. Moreover, by simulating and analyzing the model, we obtain that the number of people diagnosed for COVID-19 will increase, and the number of hospital beds should be increased to meet the large number of patients with the implementation of the screening strategy. Therefore, to control the spread of the epidemic, increase in the detection of asymptomatic infected persons is very important.
摘要：
The primary goal of this paper is to develop methods for investigating equivalent norms and Hardy-Littlewood-type theorems on Lipschitz-type spaces of analytic and complex-valued harmonic functions. First, we provide characterizations of equivalent norms on these spaces. Furthermore, we establish Hardy-Littlewood-type theorems for complex-valued harmonic functions. These results improve and extend the main findings of Dyakonov (1997) and Dyakonov (2005). Additionally, we apply the derived equivalent norms and Hardy-Littlewood-type theorems to the study of composition operators between Lipschitz-type spaces.
摘要：
Abstract In this paper, we propose an advanced image encryption algorithm that integrates a novel 4D hyperchaotic system and an improved Knight’s Tour algorithm for enhanced security. The 4D hyperchaotic system, characterized by its complex dynamics and multiple positive Lyapunov exponents, generates pseudo-random sequences with high sensitivity to initial conditions. These sequences are utilized in both pixel-level scrambling and bit-level diffusion processes, ensuring robust encryption. The Knight’s Tour, a classical pathfinding algorithm, is enhanced through chaotic sequence-based randomization, improving path randomness and addressing traditional limitations like deadlock issues. Additionally, a nonlinear diffusion process, inspired by the Josephus ring algorithm, further strengthens the encryption scheme by introducing dynamic scrambling of pixel values. Security analysis and experimental results demonstrate that the proposed algorithm offers a large key space, excellent resistance to cryptanalysis, and robustness against various attacks such as noise and cropping. Especially in image encryption, resistance to differential attacks is a crucial performance metric, typically evaluated using NPCR and UACI. The expected values are NPCRE = 99.6094% and UACIE = 33.4635%. The NPCR and UACI values obtained from the experimental images encrypted by the proposed algorithm are close to these expected values. This work highlights the potential of integrating hyperchaotic systems in image encryption for applications requiring high levels of security, such as military communications, cloud storage, and digital healthcare systems.
作者机构：
College of Mathematics and Statistics, Hengyang Normal University, Hengyang, China;[Chengqing Li] School of Computer Science, Xiangtan University, Xiangtan, China;[Bo Zhou] School of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing, China;[Xiaoxiong Lu] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, China<&wdkj&>School of Computer Science, Xiangtan University, Xiangtan, China
通讯机构：
[Chengqing Li] S;School of Computer Science, Xiangtan University, Xiangtan, China
关键词：
Functional graph;Inversive congruential method;Sequence analysis;Pseudorandom number
摘要：
Several pseudorandom number generators based on the inversive congruential method have been designed as appealing alternatives to those based on the classical linear congruential method. This paper unveils the first functional graph structure of an inversive pseudorandom number generator over ring
$${\mathbb {Z}}_{p^{e}}$$
, resolving two foundational gaps: By transforming the generator into a second order linear congruential recurrence relation, we derives a complete and explicit expression of the least period of sequences generated from all initial states in the domain; The graph structure is rigorously analyzed and shown to consist of two distinct components, namely, multiple cycles of varying lengths and a single unilateral connected digraph whose structure is consistent relative to parameter e. Moreover, the graph structure analysis method offers a fresh perspective for analyzing the randomness and periodicity of random number generators. The adopted analysis methodology can be extended to study the graph structure and dynamics of other nonlinear maps.
期刊：
Education and Information Technologies,2025年:1-27 ISSN：1360-2357
通讯作者：
Chang, HB
作者机构：
[Ning, Yimin] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China.;[Zheng, Hanyi] Hengyang Normal Univ, Sch Math & Stat, Hengyang 421010, Peoples R China.;[Wu, Hongde] Zhejiang Normal Univ, Coll Educ, Jinhua 321004, Peoples R China.;[Jin, Zhijie] East China Normal Univ, Fac Educ, Shanghai 200062, Peoples R China.;[Chang, Haibin; Chang, HB] Capital Normal Univ, Fac Educ, Beijing 100048, Peoples R China.
通讯机构：
[Chang, HB ] C;Capital Normal Univ, Fac Educ, Beijing 100048, Peoples R China.
摘要：
This study, grounded in the stimulus-organism-response (SOR) theory, aims to explore how stimulus factors (school support) influence cognitive organisms (psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI), which in turn enhance behavioral responses (AI literacy), while also examining the detrimental effects of AI anxiety. A cross-sectional design was employed, utilizing sample data from 1,518 teachers. The results of PLS-SEM indicate that school support exerts a significant positive impact on psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI. These cognitive factors, in turn, significantly enhance AI literacy. However, while AI anxiety negatively affects these cognitive factors, it does not exhibit a significant direct impact on AI literacy. Additionally, the study reveals the mediating roles of psychological resilience, self-efficacy, attitude toward AI, and acceptance of AI in the relationship between school support and AI literacy. The findings of fsQCA identify five high-level configurational pathways and one non-high-level pathway, demonstrating an asymmetric relationship between these configurations. The consistency values of all six pathways exceed 0.9, indicating that these configurations are sufficient conditions influencing teachers' AI literacy. This study provides a theoretical framework for analyzing factors affecting teachers' AI literacy and offers practical guidance for policy interventions and innovative practices to enhance teachers' AI literacy.
摘要：
In this paper, we propose a color image compression and encryption algorithm that combines compressed sensing, Sudoku matrix, and hyperchaotic map to ensure the security of image data and improve transmission and storage efficiency. Firstly, we design a novel two-dimensional sine-logistic coupled hyperchaotic map that exhibits a more continuous and broader chaotic range and more complex hyperchaotic behavior compared to some existing known chaotic maps. Secondly, to mitigate the impact of compression thresholds on image reconstruction quality, we employ multiple optimization strategies to improve the dung beetle optimization algorithm, enhancing its global exploration and local exploitation capabilities, thereby making it more efficient and accurate in handling complex optimization problems. Based on this, we optimize the compression threshold using the improved algorithm to find the optimal threshold for the best image reconstruction quality. Finally, to further enhance the security of the algorithm, we introduce Sudoku matrices in the permutation stage. By using randomly generated Sudoku matrices to permute the image pixel positions, the original image structure is effectively disrupted, increasing the complexity and randomness of the encryption. In the diffusion stage, we employ a bidirectional diffusion operation to ensure that pixel information is effectively spread throughout the image, and we dynamically update the diffusion keys in each round, making the key sequence highly random and unpredictable. Experimental results demonstrate that the proposed algorithm can resist various illegal attacks and offers high security.
期刊：
Computational Methods and Function Theory,2024年24(1):229-239 ISSN：1617-9447
通讯作者：
Ponnusamy, S
作者机构：
[Li, Liulan] Hengyang Normal Univ, Coll Math & Stat, Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China.;[Ponnusamy, S; Ponnusamy, Saminathan] Indian Inst Technol Madras, Dept Math, Chennai 600036, India.;[Ponnusamy, S; Ponnusamy, Saminathan] Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow, Russia.;[Wirths, Karl-Joachim] Tech Univ Carolo Wilhelmina Braunschweig, Inst Algebra & Anal, D-38106 Braunschweig, Germany.
通讯机构：
[Ponnusamy, S ] I;Indian Inst Technol Madras, Dept Math, Chennai 600036, India.;Lomonosov Moscow State Univ, Moscow Ctr Fundamental & Appl Math, Moscow, Russia.
关键词：
Meromorphic functions;Taylor coefficients;Laurent series
摘要：
In this article, we consider the family of functions f meromorphic in the unit disk
$${\mathbb D}=\{z:\,|z| < 1\}$$
with a pole at the point
$$z=p$$
, a Taylor expansion
$$\begin{aligned} f(z)= z+\sum _{k=2}^{\infty } a_kz^k, \quad |z|<p, \end{aligned}$$
and satisfying the condition
$$\begin{aligned} \left| \left( \frac{z}{f(z)}\right) -z\left( \frac{z}{f(z)}\right) '-1\right| <\lambda \qquad \text {for all }z\in {\mathbb D}, \end{aligned}$$
for some
$$\lambda $$
,
$$0<\lambda < 1$$
. We denote this class by
$$\mathcal {U}_p(\lambda )$$
and we shall prove a representation theorem for the functions in this class. As consequences, we get a simple proof for the estimates of
$$|a_2|$$
and obtain inequalities for the initial coefficients of the Laurent series of
$$f\in \mathcal {U}_p(\lambda )$$
at its pole. In [8] it had been conjectured that for
$$f\in \mathcal {U}_p(\lambda )$$
the inequalities
$$\begin{aligned} |a_n|\le \frac{1}{p^{n-1}}\sum _{k=0}^{n-1}(\lambda p^2)^k, \quad n\ge 2, \end{aligned}$$
are valid. We provide a counterexample to this conjecture for the case
$$n=3$$
.
期刊：
MATHEMATICAL BIOSCIENCES AND ENGINEERING,2024年21(2):2344-2365 ISSN：1547-1063
作者机构：
[Haihua Zhou] School of Mathematics and Statistics, Hengyang Normal University, Hengyang 421010, China;[Yaxin Liu; Zejia Wang; Huijuan Song] School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, China
摘要：
It is known that the inverse of a quasiconformal homeomorphism of domains in R n is also quasiconformal. This paper focuses on the inverse problem for free quasiconformality in Banach spaces. We first show that the inverse of a fully semisolid homeomorphism is fully semisolid under an additional coarsely Lipschitz condition in the quasihyperbolic metric. This gives several partial answers to two open problems posed by V & auml;is & auml;l & auml;. Next, we prove that the inverse of a locally quasisymmetric homeomorphism is also locally quasisymmetric. As applications, we obtain new characterizations of freely quasiconformal mappings in Banach spaces, and study the relation between freely quasiconformal mappings and quasisymmetric mappings between uniform domains.
期刊：
Frontiers in Public Health,2024年12:1288262 ISSN：2296-2565
通讯作者：
Yin, L
作者机构：
[Li, Fang; Luo, Wanhong] Hunan First Normal Univ, Sch Phys Educ, Changsha, Peoples R China.;[Yin, Long; Yin, L] Hunan Normal Univ, Coll Phys Educ, Changsha, Peoples R China.;[Gao, Zan] Univ Tennessee, Dept Kinesiol Recreat & Sport Studies, Knoxville, TN USA.;[Ryu, Suryeon] Univ Minnesota Twin Cities, Sch Kinesiol, Minneapolis, MN USA.;[Sun, Mingyun] Hengyang Normal Univ, Sch Math & Stat, Hengyang, Peoples R China.
通讯机构：
[Yin, L ] H;Hunan Normal Univ, Coll Phys Educ, Changsha, Peoples R China.
关键词：
24-h movement behavior;isotemporal substitution;mental health;non-screen-based sedentary behavior;screen-based sedentary behavior
摘要：
The 24-h movement behavior of preschoolers comprises a spectrum of activities, including moderate-to-vigorous intensity physical activity (MVPA), light-intensity physical activity (LPA), screen-based sedentary behavior (SCSB), non-screen-based sedentary behavior (NSCSB), and sleep. While previous research has shed light on the link between movement behaviors and children’s mental health, the specific impacts on the unique demographic of Chinese preschoolers remain underexplored. This study significantly contributes to the literature by exploring how 24-h movement behavior affects the mental health of preschoolers in a Chinese context. The study involved205 Chinese preschool children (117 boys and 88 girls) between the ages of 3 and 6 years wore accelerometers to measure their LPA, MVPA, and sedentary behavior (SB), while their parents reported the time spent on sleep and SCSB. The parents also completed the Strength and Difficulties Questionnaire to assess their children’s mental health. The study used compositional regression and isotemporal substitution models to examine the relationship between the various components of 24-h movement behavior and mental health. The results showed that greater NCSSB compared to MVPA, LPA, sleep, and SCSB was associated with good prosocial behavior and lower scores on externalizing problems. This highlights the potential of NSCSB as a beneficial component in the daily routine of preschoolers for fostering mental well-being. Replacing 15 min of sleep and SCSB with 15 min of NSCSB was associated with a decrease of 0.24 and 0.15 units, respectively, in externalizing problems. Reallocating 15 min of sleep to NSCSB was linked to an increase of 0.11 units in prosocial behavior. There were no significant substitution effects between LPA and MVPA time with any other movement behavior on prosocial behavior and externalizing problems. Given the positive associations observed, further longitudinal studies are necessary to explore the link between 24-h movement behavior and mental health in preschool children.
期刊：
Rendiconti del Circolo Matematico di Palermo,2024年73(7):2587-2598 ISSN：0009-725X
通讯作者：
Shaolin Chen
作者机构：
[Shaolin Chen] College of Mathematics and Statistics, Hengyang Normal University, Hengyang, People’s Republic of China;[Hidetaka Hamada] Faculty of Science and Engineering, Kyushu Sangyo University, Fukuoka, Japan
通讯机构：
[Shaolin Chen] C;College of Mathematics and Statistics, Hengyang Normal University, Hengyang, People’s Republic of China
关键词：
Harmonic function;Linear measure;Non-iterative dynamic system
摘要：
The main purpose of this paper is to determine the linear measure of non-iterative dynamic system of some classes of harmonic functions.
期刊：
Humanities & Social Sciences Communications,2024年11(1) ISSN：2662-9992
通讯作者：
Wang, P
作者机构：
[Wang, P; Wang, Peng] Wenzhou Univ, Sch Educ, Wenzhou 325035, Peoples R China.;[Yan, Yiren] Renmin Univ China, Dept Psychol, Beijing 100872, Peoples R China.;[Tian, Yuhan] China Univ Geosci, Inst Educ, Dept Psychol, Wuhan 430074, Peoples R China.;[Wang, Huanli; Feng, Xun; Li, Yuening] Shandong Normal Univ, Dept Psychol, Jinan 250358, Peoples R China.;[Zhou, Haihua] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421010, Peoples R China.
通讯机构：
[Wang, P ] W;Wenzhou Univ, Sch Educ, Wenzhou 325035, Peoples R China.
摘要：
Holland’s Realistic, Investigative, Artistic, Social, Enterprising, and Conventional (RIASEC) model has been widely used for career counseling, vocational assessment, and educational choice. However, vocational interest types can be affected by culture, and the fourth industrial revolution has led to the emergence of many new occupations, rendering many occupational titles and work tasks in Holland’s RIASEC model outdated. The present study proposed nine interest types in contemporary China: Artistic (A), Natural (N), Enterprising (E), Conventional (C), Technological (T), Investigative (I), Powerful (P), Social (S), and Operational (O), and developed a vocational interest scale with nine subscales. We generated items by drawing from a literature review, occupational categories, and expert reviews, used exploratory factor analysis (EFA, N = 628, Mage = 12.75 years; 47% girls) to reduce the number of items, and confirmatory factor analysis (CFA, N = 627, Mage = 12.76 years; 48% girls) to validate the factor structure. This study clarified vocational interest types in contemporary China, developed and validated a vocational interest scale for the digital age, and provided a measurement tool for educational choice and career counseling.
期刊：
Neural Computing and Applications,2024年36(22):13527-13549 ISSN：0941-0643
通讯作者：
Tiejun Zhou
作者机构：
College of Mathematics and Statistics, Hengyang Normal University, Hengyang, China;College of Information and Intelligence Science, Hunan Agricultural University, Changsha, China;Hunan Province Key Laboratory of Intelligent Agriculture Equipment, Changsha, China;[Liu Z.] College of Mathematics and Statistics, Hengyang Normal University, Hunan, Hengyang, 421008, China<&wdkj&>College of Information and Intelligence Science, Hunan Agricultural University, Hunan, Changsha, 410128, China;[Xiangyu Xu] College of Information and Intelligence Science, Hunan Agricultural University, Hunan, Changsha, 410128, China
通讯机构：
[Tiejun Zhou] C;College of Information and Intelligence Science, Hunan Agricultural University, Changsha, China<&wdkj&>Hunan Province Key Laboratory of Intelligent Agriculture Equipment, Changsha, China
摘要：
As digital images are widely used in social media, medical, military and other fields, ensuring the privacy and security of image data has become a critical concern. Firstly, we propose a novel four-dimensional hyperchaotic system and validate that it exhibits a broad chaotic range, as demonstrated by bifurcation diagrams and Lyapunov exponent experiments. Additionally, simulated circuit diagrams verify the hardware feasibility of the proposed system. Secondly, we design a dynamic iterative scrambling (DIS) scheme that dynamically divides the image into multiple matrices for spatially indexed scrambling. Excellent substitution performance can be ensured by multiple iterations. In the diffusion stage, a multidirectional bit-level L-shaped (MDBL) scheme is proposed. Diffusion is conducted on the bit plane using a designed cross-multiplanar selection algorithm, which fuses the high and low bit planes, thereby enhancing the diffusion performance of MDBL. Thirdly, Based on the above concepts, a novel four-dimensional hyperchaotic system and an encryption algorithm based on bit-level diffusion are proposed. Finally, experimental results and security analyses demonstrate the effectiveness of the novel 4D hyperchaotic system and image encryption scheme. The proposed encryption scheme exhibits robust anti-interference capabilities and effectively safeguards image security.
期刊：
Journal of Applied Remote Sensing,2024年18(4) ISSN：1931-3195
通讯作者：
Liao, J
作者机构：
[Liao, Juan; Liao, J] Hengyang Normal Univ, Natl Local Joint Engn Lab Digital Preservat & Inn, Hengyang, Peoples R China.;[Liao, Juan; Liao, J; Zhang, Fulin] Hengyang Normal Univ, Sch Geog & Tourism, Hengyang, Peoples R China.;[Liao, Juan; Liao, J; Zhang, Fulin] Hengyang Dayan Geog Informat Co Ltd, Hengyang, Peoples R China.;[Cao, Jiannong] Changan Univ, Sch Geol Engn & Surveying, Xian, Peoples R China.;[Wang, Kun] Shaanxi Prov Land Engn & Construct Grp, Xian, Peoples R China.
通讯机构：
[Liao, J ] H;Hengyang Normal Univ, Natl Local Joint Engn Lab Digital Preservat & Inn, Hengyang, Peoples R China.;Hengyang Normal Univ, Sch Geog & Tourism, Hengyang, Peoples R China.;Hengyang Dayan Geog Informat Co Ltd, Hengyang, Peoples R China.
摘要：
Saliency detection is a conventional computer vision technique used to identify salient regions in difference images for change detection (CD) in multi-temporal/bi-temporal remotely sensed images. However, most existing saliency-based CD methods have primarily focused on analyzing the colors and brightness of different images, often neglecting the rich spectral-spatial and context-aware features of remotely sensed multi-spectral images. Furthermore, these methods independently leverage the visual saliency features and spectral-spatial features of remote sensing images, without seamlessly integrating the two components. In response to this limitation, this paper proposes a novel CD method based on context-aware saliency-spectral-spatial features, introducing a weighted coarse-to-fine fusion strategy. The proposed method fully leverages context-aware saliency features, as well as spectral and spatial features from remotely sensed images. It summarizes the combination of these features into three principles: local low-level feature, global low-level feature, and high-level feature. Then, with the assistance of segmentation objects, the proposed method generates a single-scale salience map through global-local comparisons between an object and its K-level neighborhood objects, employing the three principles of multi-level features. Finally, in accordance with principles 2 and 3, a weighted coarse-to-fine fusion strategy at the pixel level is designed to incorporate multi-scale saliency maps. Fusion weights for pixels, from coarse-to-fine scale, are adaptively obtained by considering the heterogeneity of the object they belong to and the intensity difference between the pixel and the object. To verify the effectiveness of the proposed method, ten comparative experiments were conducted against other state-of-the-art methods The experimental results show that the proposed method better employs context-aware saliency-spectral-spatial features to preserve the details of CD map changes and reduce noise. Furthermore, experiments conducted on three datasets, featuring various region types, region sizes, and spatial resolutions of remotely sensed images, highlight the feasibility and transferability of the proposed method for change detection. (c) 2024 Society of Photo-Optical Instrumentation Engineers (SPIE)
摘要：
Let M = ρ 1 − 1 a 0 ρ 2 − 1 be a real upper triangular expanding matrix and D = 0 0 , d 1 0 , d 2 d 3 be a three-element real digit set with d 1 d 3 ≠ 0 , and let { n k } k = 1 ∞ be a sequence of positive integers with upper bound. The infinite convolutions μ M , D , { n k } = δ M − n 1 D ∗ δ M − ( n 1 + n 2 ) D ∗ ⋯ ∗ δ M − ( n 1 + ⋯ + n k ) D ∗ ⋯ converges weakly to a Borel probability measure (homogeneous Moran measure). In this paper, we study the existence of exponential orthonormal basis for L 2 ( μ M , D , { n k } ) . A necessary and sufficient condition for μ M , D , { n k } to be a spectral measure is established.
Let M = ρ 1 − 1 a 0 ρ 2 − 1 be a real upper triangular expanding matrix and D = 0 0 , d 1 0 , d 2 d 3 be a three-element real digit set with d 1 d 3 ≠ 0 , and let { n k } k = 1 ∞ be a sequence of positive integers with upper bound. The infinite convolutions μ M , D , { n k } = δ M − n 1 D ∗ δ M − ( n 1 + n 2 ) D ∗ ⋯ ∗ δ M − ( n 1 + ⋯ + n k ) D ∗ ⋯ converges weakly to a Borel probability measure (homogeneous Moran measure). In this paper, we study the existence of exponential orthonormal basis for L 2 ( μ M , D , { n k } ) . A necessary and sufficient condition for μ M , D , { n k } to be a spectral measure is established.
作者机构：
[Yuan, HZ; Yuan, Haizhuan; Tan, Shide] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.;[Hu, Lijun] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Hu, Lijun] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Xiangtan 411105, Hunan, Peoples R China.
通讯机构：
[Yuan, HZ ] X;Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
关键词：
Global Science Press;AAMM;Advances in Applied Mathematics and Mechanics;Genuinely two-dimensional HLL-CPS solver;WENO;fifth-order;dimension-by-dimension reconstruction.
摘要：
Although the genuinely two-dimensional HLL-CPS solver holds the inherent multidimensionality property and capability of resolving contact discontinuities, the conventional low-order (second-order and below) reconstruction methods still limits its application in the two-dimensional complex flows involving shock waves and shear layers. A fifth-order reconstruction method is proposed for the genuinely two-dimensional HLL-CPS solver. The conserved variable vectors at the midpoints of interfaces are approximated by the fifth-order 1D WENO reconstruction. Meanwhile, variables at the corners are evaluated by a dimension-by-dimension reconstruction method consisting of a number of 1D fifth-order WENO sweeps. To avoid introducing spurious oscillations, each reconstruction is carried out in the corresponding local characteristic fields. Numerical results of several benchmark tests indicate the higher-order accuracy and the multidimensionality property of the proposed scheme. Compared with the 1D HLLE, HLLC and HLL-CPS schemes, the proposed high-order genuinely two-dimensional HLL-CPS solver provides higher resolution for contact discontinuities and presents better robustness against the shock anomalies.
期刊：
Results in Mathematics,2024年79(2):1-24 ISSN：1422-6383
通讯作者：
Chen, SL
作者机构：
[Chen, Shaolin; Chen, SL] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;[Chen, Shaolin; Chen, SL] Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Peoples R China.;[Hamada, Hidetaka] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2 Chome,Higashi Ku, Fukuoka 8138503, Japan.
通讯机构：
[Chen, SL ] H;Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China.;Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Peoples R China.
关键词：
Bloch type space;complex-valued harmonic function;composition operator;hardy space;pluriharmonic functions
摘要：
The main purpose of this paper is to investigate characterizations of composition operators on Bloch and Hardy type spaces. Initially, we use general doubling weights to study the composition operators from harmonic Bloch type spaces on the unit disc D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document} to pluriharmonic Hardy spaces on the Euclidean unit ball Bn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {B}}<^>n$$\end{document}. Furthermore, we develop some new methods to study the composition operators from harmonic Bloch type spaces on D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document} to pluriharmonic Bloch type spaces on D\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {D}}$$\end{document}. Additionally, some application to new characterizations of the composition operators between pluriharmonic Lipschitz type spaces to be bounded or compact will be presented. The obtained results of this paper provide the improvements and extensions of the corresponding known results.
