Article
Mathematics, Applied
Binhua Feng, Leijin Cao, Jiayin Liu
Summary: This paper investigates the existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation with a partial harmonic confinement. The results show that stable standing waves exist under certain conditions, complementing previous research on the topic.
APPLIED MATHEMATICS LETTERS
(2021)
Article
Multidisciplinary Sciences
Tamil Arasan Bakthavatchalam, Suriyadeepan Ramamoorthy, Malaikannan Sankarasubbu, Radha Ramaswamy, Vijayalakshmi Sethuraman
Summary: Machine learning methods can efficiently model physical phenomena using scattered, noisy observations, with Gaussian Processes (GPs) showing promise in accurately reproducing ground state wave functions of BECs. The method's versatility and speed in generating results make it a viable alternative to existing numerical simulation techniques, requiring only a fraction of data points for similar levels of accuracy.
SCIENTIFIC REPORTS
(2021)
Article
Mathematical & Computational Biology
Min Gong, Hui Jian, Meixia Cai
Summary: In this article, the global existence and stability issues of the nonlinear Schrödinger equation with partial confinement are considered. By establishing new cross-invariant manifolds and variational problems, a new sharp criterion for global existence is derived in different cases. The existence of orbitally stable standing waves is then obtained using the profile decomposition technique. This work extends and complements previous results.
MATHEMATICAL BIOSCIENCES AND ENGINEERING
(2023)
Article
Mathematics, Applied
Li Ma
Summary: In this paper, the existence of positive solutions to a bi-harmonic operator problem in Rn is established. The key tools used include the Schwartz symmetrization method and the generalized Ni-Strauss Lemma.
DIFFERENTIAL AND INTEGRAL EQUATIONS
(2023)
Article
Mathematics, Applied
Chao Shi
Summary: This paper studies the existence of stable standing waves for a type of nonlinear Schrödinger equation. By obtaining the best constant of a generalized Gagliardo-Nirenberg inequality and applying the concentration compactness principle, the existence and orbital stability of standing waves in the L-2-subcritical, L-2-critical, and L-2-supercritical cases are proven.
Article
Mathematics, Applied
Fabio Natali, Eleomar Cardoso Jr
Summary: This paper examines the orbital stability of standing wave solutions associated with the one-dimensional Schrodinger-Kirchhoff equation. The presence of a mixed term leads to more dispersion, resulting in a different scenario for the stability of solitary waves compared to the corresponding nonlinear Schrodinger equation. Additionally, for periodic waves, two explicit solutions are presented and orbital stability in the energy space is proven.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2021)
Article
Mathematics
David Chiron, Eliot Pacherie
Summary: A smooth branch of travelling wave solutions for the 2-dimensional Gross-Pitaevskii equations is constructed for small speed, exhibiting two vortices far away from each other. The leading order term of the derivatives with respect to the speed is also computed. These solutions are constructed using an implicit function type argument.
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
(2021)
Article
Mathematics, Applied
Zeda Lin, Xiaoxi Xu, Zikang Chen, Ziteng Yan, Zhijie Mai, Bin Liu
Summary: This study focuses on the characteristics of two-dimensional (2D) vortex quantum droplets (QDs) under different transverse confinements. It reveals that different confinement features result in different mechanisms of the vortex QDs, and the stabilities and characteristics of the QDs need to be re-identified.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2021)
Article
Mathematics
Philippe Gravejat, Eliot Pacherie, Didier Smets
Summary: We introduce a functional framework to investigate the minimality and stability properties of the Ginzburg-Landau vortex. By defining a renormalized energy and proving a nonlinear coercivity estimate, we establish the orbital stability of the vortex as a solution.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
(2022)
Article
Physics, Multidisciplinary
N. Korneev, E. Francisco, V. A. Vysloukh
Summary: The study shows that coherent-solitonic states of the Gross-Pitaevskii equation with parabolic potential are linearly stable under certain conditions, but unstable perturbations may develop. Stabilization can be achieved by increasing the state intensity.
Article
Mathematics, Applied
Yue Zhang, Jian Zhang
Summary: In this paper, we investigate Gross-Pitaevskii equations with double power nonlinearities. We first prove the existence of standing waves under certain conditions using the variational method. We then study the instability of standing waves and establish the stability for certain cases.
MATHEMATICAL CONTROL AND RELATED FIELDS
(2022)
Article
Engineering, Mechanical
Li Li, Fajun Yu
Summary: The PT-symmetric Gross-Pitaevskii equation and its generalized form, GGP(n,n), are introduced in this study. A kind of flat-top soliton solution is derived for the nonautonomous GGP(n,n) equation with Gaussian-harmonic-radial PT-symmetric potential. Novel flat-top bright solitons are found, and their interaction dynamics are investigated numerically.
NONLINEAR DYNAMICS
(2022)
Article
Mathematics, Applied
Huifang Jia, Xiao Luo
Summary: This study focuses on standing waves with prescribed mass in the coupled Hartree-Fock system and examines the existence and properties of normalized solutions to a nonlocal elliptic system. By combining constrained minimization method and coupled rearrangement technique, the stability of the solutions is proven. Additionally, the study discusses the stability of standing waves in the related time-dependent coupled Hartree-Fock system.
ANNALI DI MATEMATICA PURA ED APPLICATA
(2021)
Article
Optics
Javed Akram
Summary: The study explores the quantum dynamics of two impurities in a trapped quasi-one-dimensional Bose-Einstein condensate, revealing the impact of impurity-BEC and impurity-impurity interaction strengths on impurities within the condensate. Strong interaction strengths suppress the back-and-forth motion of impurities. The findings suggest that quench dynamics can be a valuable tool for studying impurity-BEC and impurity-impurity interactions.
APPLIED PHYSICS B-LASERS AND OPTICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Sheng-Xiong Yang, Yu-Feng Wang, Xi Zhang
Summary: This paper investigates the N-coupled nonautonomous Gross-Pitaevskii equations, which describe the dynamics of the Bose-Einstein condensates. Using the Lax pair, infinitely-many conservation laws and Mth-fold Darboux transformation are constructed. Three types of nonautonomous localized waves are obtained via the Darboux transformation. The nonautonomous bound-state soliton is observed, and the profile and energy distribution of the nonautonomous breather and rogue wave are shown. The influences of coefficients for the shape and position of the background wave are discussed. Additionally, the interactions between the three types of nonautonomous localized waves are analyzed graphically.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Computer Science, Information Systems
Mengyao Zhang, Liwei Lin, Zhuyun Chen
Summary: This research investigates the structure of a dynamic data management system using blockchain model in E-commerce and proposes a lightweight security scheme for better data management. The experiment shows that the system has better overall performance.
CLUSTER COMPUTING-THE JOURNAL OF NETWORKS SOFTWARE TOOLS AND APPLICATIONS
(2023)
Article
Thermodynamics
Yanyu Qiao, Zhichao Chen, Zheng Yu, Guan Shuo, Jiawei Li, Zhenhua Yuan, Lingyan Zeng, Zhengqi Li
Summary: The combustion characteristics of pyrolytic semi-coke (SC) were studied by analyzing its physical and chemical properties. It was found that SC has a larger specific surface area, pore volume, and fractal dimension compared to anthracite. The main combustion stage of SC consists of fixed carbon combustion and CaCO3 decomposition, and it has a lower ignition temperature than anthracite.
COMBUSTION SCIENCE AND TECHNOLOGY
(2023)
Article
Materials Science, Textiles
Qilu Cui, Jiawei Li, Chongwen Yu
Summary: In this study, the extraction and purification of total flavonoids from hemp fiber extracts were investigated using ethyl acetate and three different resins. The results showed that the HPD-500 resin was suitable for purification, with a purity of 8.36% flavonoids obtained. The chemical structure of the flavonoid extracts contained C=C, C-H, C-O, and rutin derivatives. Additionally, the flavonoid extracts enhanced the UV-visible light shielding effect of polyvinyl alcohol (PVA) and exhibited good antioxidant and antibacterial activities.
TEXTILE RESEARCH JOURNAL
(2023)
Article
Engineering, Electrical & Electronic
Lijuan Zhang, Jiajun Liu, Dongming Li, Jinyuan Liu, Xiangkun Liu
Summary: In this paper, a segmentation network called MSAA-Net, which combines multi-scale features and an improved attention-aware U-Net, is proposed. The architecture improves the performance of U-Net and reduces computational costs by extracting features of different scales on a single feature layer and performing attention perception in the channel dimension.
SIGNAL IMAGE AND VIDEO PROCESSING
(2023)
Article
Polymer Science
Ji Jia, Jiali Li, Si Ma, Zhenwei Zhang, Xiaoming Liu
Summary: In this study, a new covalent organic framework material, COF-JLU82, is designed and synthesized. It exhibits good electrocatalytic activity for the oxygen reduction reaction (ORR), with better performance compared to the previously reported COF-JLU23. This study enriches the types of COF-based ORR electrocatalysts and promotes the development of more highly efficient metal-free ORR electrocatalysts.
MACROMOLECULAR RAPID COMMUNICATIONS
(2023)
Article
Chemistry, Physical
Zhe An, Jiayu Liu, Meng Cao, Jian Zhang, Yanru Zhu, Hongyan Song, Xu Xiang, Jing He
Summary: This study reports a highly efficient one-pot conversion method from ethanol to DEE, achieving high ethanol conversion and DEE selectivity using a Bi/BiCeOx bifunctional catalyst. Efficient catalysis is achieved on the interfacial Bi delta+-O-v-Ce-III sites through strong metal-support interaction.
Article
Agricultural Engineering
Jiawei Li, Amjad Ali, Junfeng Su, Tinglin Huang, Zhenyu Zhai, Liang Xu
Summary: This study focused on optimizing the nitrate removal rate under a low carbon-to-nitrogen ratio using a biofilm reactor based on functional carrier and the synergistic effect of strains. Iron-loaded corn cob was used as the functional carrier, promoting cellulose degradation, iron cycling, and collaborative denitrification. The results showed that strain ZY7 promoted the release of carbon source, and the crystallinity of cellulose in the carrier increased significantly. The microbial community exhibited synergistic effects among different strains, enhancing the vitality and metabolic activity of the target microorganisms through interspecific bacterial cooperation.
BIORESOURCE TECHNOLOGY
(2023)
Article
Engineering, Environmental
Francielle C. F. Marcos, Raphael S. Alvim, Lili Lin, Luis E. Betancourt, Davi D. Petrolini, Sanjaya D. Senanayake, Rita M. B. Alves, Jose M. Assaf, Jose A. Rodriguez, Reinaldo Giudici, Elisabete M. Assaf
Summary: The role of copper crystallization in enhancing methanol production via CO2 hydrogenation over CuZrO2 catalysts was investigated using a combination of experimental and computational studies. It was found that the intermediate steps of the catalyzed reaction might depend on the incorporation of copper in the zirconia sample. Catalysts containing only amorphous interfacial sites showed higher activity in the CO2-to-methanol hydrogenation process compared to catalysts with high crystallinity of copper.
CHEMICAL ENGINEERING JOURNAL
(2023)
Article
Thermodynamics
Wei Chen, Yingying Wang, Dengjia Wang, Yanfeng Liu, Jiaping Liu
Summary: A novel method based on fractal theory combined with thermoelectric analogy is proposed to accurately predict the effective thermal conductivity of porous building materials. The prediction model outperforms traditional theoretical models and provides a feasible method for obtaining the effective thermal conductivity, which can contribute to understanding the thermal insulation performance and energy conservation of buildings.
INTERNATIONAL JOURNAL OF THERMAL SCIENCES
(2023)
Article
Chemistry, Physical
Junwei Zheng, Qian Ding, Aina He, Yaqiang Dong, Lei Xie, Xubin Li, Xincai Liu, Jiawei Li
Summary: Fe-Si-B-Cu-Nb nanocrystalline ribbons with increased annealing process window and insensitivity to impurities and surface-crystallized layer were successfully prepared using industrial raw materials.
JOURNAL OF ALLOYS AND COMPOUNDS
(2023)
Article
Environmental Sciences
Xiao Lu, Hongwei Hu, Jiawei Li, Jiangpeng Li, Lijuan Wang, Lili Liu, Yuanyuan Tang
Summary: Through a series of experiments, this study found that the presence of microplastics in sediment can enhance the adsorption capacity of ferrihydrite minerals, particularly for lead with an increase of 36%. The microplastics can also alter the dispersion and surface properties of minerals, thereby affecting the accumulation and transportation of heavy metals at the water-sediment interface.
SCIENCE OF THE TOTAL ENVIRONMENT
(2023)
Article
Environmental Sciences
Xiaoyang Yang, Dongsheng Ji, Jiawei Li, Jun He, Chongshui Gong, Xiaojuan Xu, Zhe Wang, Yu Liu, Fang Bi, Zhongzhi Zhang, Yunbo Chen
Summary: Limited by the scarcity of in situ vertical observation data, the influences of biomass burning in Southeast Asia on major atmospheric carbonaceous compositions in downwind regions have not been thoroughly studied. Aircraft observations were conducted to obtain vertical distributions of black carbon (BC), carbon monoxide (CO), and carbon dioxide (CO2). Four types of profiles were identified. Simulations showed that considering the vertical BC distribution is crucial in estimating the radiative forcing (RF) and heating rate (HR) caused by BC.
SCIENCE OF THE TOTAL ENVIRONMENT
(2023)
Article
Environmental Sciences
Wenxuan Fan, Jie Li, Zhiwei Han, Jian Wu, Shuang Zhang, Chuwei Zhang, Jiawei Li
Summary: This study investigated the impact of biomass burning in Southeast Asia on particulate matter concentrations and aerosol properties in downwind areas. A pollution event in Kunming, China on March 31 to April 1, 2019, caused by BB pollutants from Southeast Asia and the India-Myanmar trough, showed significant increases in PM2.5, PM1, and black carbon concentrations. The dominant contributor of BB in Yunnan Province was found to be the Myanmar-Thailand border.
FRONTIERS IN ENVIRONMENTAL SCIENCE
(2023)
Article
Economics
Jiaming Liu, Chengzhang Li, Peng Ouyang, Jiajia Liu, Chong Wu
Summary: Financial distress prediction is crucial in the fintech field. This study utilizes tree-based gradient boosting models to predict financial distress for Chinese listed companies. The results show that these models have better predictive performance and provide insights on the significant relationships between financial indicators and financial distress.
JOURNAL OF FORECASTING
(2023)
Article
Computer Science, Artificial Intelligence
Xiang Shi, Yinpeng Liu, Jiawei Liu, Qikai Cheng, Wei Lu
Summary: Scientific papers are crucial for academic communication, but many of them lack in-depth research and present core content ambiguously, hindering the progression of science and technology. To address this challenge, the INTEGrity vERification (INTEGER) task is introduced to help researchers assess the integrity of their papers and verify the clarity of each knowledge unit. A multi-task learning model utilizing Tucker decomposition and span-level attention mechanism is proposed to accurately identify terms and their integrity. Experimental results show the effectiveness of the model.
EXPERT SYSTEMS WITH APPLICATIONS
(2024)
Article
Mathematics, Applied
Geunsu Choi, Mingu Jung, Sun Kwang Kim, Miguel Martin
Summary: This paper studies weak-star quasi norm attaining operators and proves that the set of such operators is dense in the space of bounded linear operators regardless of the choice of Banach spaces. It is also shown that weak-star quasi norm attaining operators have distinct properties from other types of norm attaining operators, although they may share some equivalent properties under certain conditions.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Maria Lorente, Francisco J. Martin-Reyes, Israel P. Rivera-Rios
Summary: In this paper, we provide quantitative one-sided estimates that recover the dependences in the classical setting. We estimate the one-sided maximal function in Lorentz spaces and demonstrate the applicability of the conjugation method for commutators in this context.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Fernando Cobos, Luz M. Fernandez-Cabrera
Summary: We provide a necessary and sufficient condition for the weak compactness of bilinear operators interpolated using the real method. However, this characterization does not hold for interpolated operators using the complex method.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Ovgue Gurel Yilmaz, Sofiya Ostrovska, Mehmet Turan
Summary: The Lupas q-analogue Rn,q, the first q-version of the Bernstein polynomials, was originally proposed by A. Lupas in 1987 but gained popularity 20 years later when q-analogues of classical operators in approximation theory became a focus of intensive research. This work investigates the continuity of operators Rn,q with respect to the parameter q in both the strong operator topology and the uniform operator topology, considering both fixed and infinite n.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
M. Agranovsky, A. Koldobsky, D. Ryabogin, V. Yaskin
Summary: This article modifies the concept of polynomial integrability for even dimensions and proves that ellipsoids are the only convex infinitely smooth bodies satisfying this property.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Abel Komalovics, Lajos Molnar
Summary: In this paper, a parametric family of two-variable maps on positive cones of C*-algebras is defined and studied from various perspectives. The square roots of the values of these maps under a faithful tracial positive linear functional are considered as a family of potential distance measures. The study explores the problem of well-definedness and whether these distance measures are true metrics, and also provides some related trace characterizations. Several difficult open questions are formulated.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Frederic Bayart
Summary: The passage describes the construction of an operator on a separable Hilbert space that is 5-hypercyclic for all δ in the range (ε, 1) and is not 5-hypercyclic for all δ in the range (0, ε).
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Helene Frankowska, Nikolai P. Osmolovskii
Summary: This paper investigates second-order optimality conditions for the minimization problem of a C2 function f on a general set K in a Banach space X. Both necessary and sufficient conditions are discussed, with the sufficiency condition requiring additional assumptions. The paper demonstrates the validity of these assumptions for the case when the set K is an intersection of sets described by smooth inequalities and equalities, such as in mathematical programming problems. The novelty of the approach lies in the arbitrary nature of the set K and the straightforward proofs.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Ole Fredrik Brevig, Kristian Seip
Summary: This paper studies the Hankel operator on the Hardy space and discusses its minimal and maximal norms, as well as the relationship between the maximal norm and the properties of the function.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Alexander Meskhi
Summary: Rubio de Francia's extrapolation theorem is established for new weighted grand Morrey spaces Mp),lambda,theta w (X) with weights w beyond the Muckenhoupt Ap classes. This result implies the one-weight inequality for operators of Harmonic Analysis in these spaces for appropriate weights. The necessary conditions for the boundedness of the Hardy-Littlewood maximal operator and the Hilbert transform in these spaces are also obtained. Some structural properties of new weighted grand Morrey spaces are investigated. Problems are studied in the case when operators and spaces are defined on spaces of homogeneous type.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Maud Szusterman
Summary: In this work, the necessary conditions on the structure of the boundary of a convex body K to satisfy all inequalities are investigated. A new solution for the 3-dimensional case is obtained in particular.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Rami Ayoush, Michal Wojciechowski
Summary: In this article, lower bounds for the lower Hausdorff dimension of finite measures are provided under certain restrictions on their quaternionic spherical harmonics expansions. This estimate is analogous to a result previously obtained by the authors for complex spheres.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
F. G. Abdullayev, V. V. Savchuk
Summary: This paper investigates the convergence and theorem proof of the Takenaka-Malmquist system and Fejer-type operator on the unit circle, and provides relevant results on the class of holomorphic functions representable by Cauchy-type integrals with bounded densities.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Sofiya Ostrovska, Mikhail I. Ostrovskii
Summary: This work aims to establish new results on the structure of transportation cost spaces. The main outcome of this paper states that if a metric space X contains an isometric copy of L1 in its transportation cost space, then it also contains a 1-complemented isometric copy of $1.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
Article
Mathematics, Applied
Pilar Rueda, Enrique A. Sanchez Perez
Summary: We prove a factorization theorem for Lipschitz operators acting on certain subsets of metric spaces of measurable functions and with values on general metric spaces. Our results show how a Lipschitz operator can be extended to a subset of other metric space of measurable functions that satisfies the following optimality condition: it is the biggest metric space, formed by measurable functions, to which the operator can be extended preserving the Lipschitz constant. Also, we demonstrate the coarsest metric that can be given for a metric space in which an order bounded lattice-valued-Lipschitz map is defined, and provide concrete examples involving the relevant space L0(mu).
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2024)
