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Existence and asymptotics of normalized solutions for the logarithmic Schrödinger system

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Science China Mathematics 2024年第9期67卷 2019-2048页

作者： Qian zhang Wenming zou Department of Mathematical Sciences Tsinghua UniversityBeijing 100084China

This paper is concerned with the following logarithmic Schrodinger system:{-Δu_(1)+ω_(1)u_(1)=u_(1)u_(1)logu_(1)^(2.+2./p+q|u_(2.|^(q)|u_(1)|^(p-2.u_(1),-Δu_(2.+ω_(2.u_(2.=u_(2.u_(2.log u_(2.^(2.+2./p+q|u_(1)|^(p)|u_(2.|^(q-2.u_(2.,∫_(Ω)|u_(i)|^(2.dx=ρ_(i),i=1,2.(u_(1),u_(2.)∈H_(0)^(1)(Ω;R^(2.),where Ω=R^(N)or Ω■R^(N)(N≥3)is a bounded smooth domain,andω_(i)R,μ_(i),ρ_(i)>0 for i=1,***,p,q≥1,and 2.p+q≤2.(*),where 2.(*):=2./*** using a Gagliardo-Nirenberg inequality and a careful estimation of u log u^(2.,firstly,we provide a unified proof of the existence of the normalized ground state solution for all 2.p+q≤2.(*).Secondly,we consider the stability of normalized ground state ***,we analyze the behavior of solutions for the Sobolev-subcritical case and pass to the limit as the exponent p+q approaches 2.(*).Notably,the uncertainty of the sign of u log u^(2.in(0,+∞)is one of the difficulties of this paper,and also one of the motivations we are interested *** particular,we can establish the existence of positive normalized ground state solutions for the Brézis-Nirenberg type problem with logarithmic perturbations(i.e.,p+q=2.(*)).In addition,our study includes proving the existence of solutions to the logarithmic type Bréis-Nirenberg problem with and without the L^(2.-*** ∫_(Ω)|u_(i)|^(2.dx=ρ_(i)(i=1,2.by two different methods,*** results seem to be the first result of the normalized solution of the coupled nonlinear Schrodinger system with logarithmic perturbations.

关键词： logarithmic Schrodinger system Brézis-Nirenberg problem normalized solution existence and stability behavior of solutions

Reservoir-forming age and its exploration significance to stratigraphic reservoirs in southern Songliao Basin

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Chinese Science Bulletin 2007年第23期52卷 3239-3252页

作者： zou caineng TAO {2. zhang youyu PetroChina Research Institute of Petroleum Exploration & Development Beijing 100083 China

Despite many studies concerning the forming age, evolution characteristics and the age of petroleum charging in the Fuxin upheaval of southern Songliao Basin, no consensus has been reached so far. This paper presents the first K-Ar dating of autogenetic illite from stratigraphic petroleum reservoirs in the Fuyu oil layer of the Fuxin upheaval belt. Isotopic test and age calculation were carried out based on the separation and purification of illite mineral, X-diffraction analysis and the detection of scanning electron microscopy. The evolution characteristics of structure, sedimentation, reservoir-forming about the Fuxin upheaval belt were interpreted in terms of the synthetical analysis of "six-type geological history" evolution in southern Songliao Basin. The geologic background of petroleum evolution and reservoir formation are similar in the entire central depression region of southern Songliao Basin. The Changling sag and the Fuxin upheaval belt brought about obvious upheaval-sag separation after the hydrocarbon-generation peak of K2.n1 and the main reservoir-forming period of the Fuyu oil layer, namely reservoir-forming happened before the Fuxin upheaval belt extensively raised. The reservoirs have three characteristics: the hydrocarbon source rock above the reservoir, the oil source in the lo- cality, and the vertical migration. The geological cognition is corrected, that is, oil source came from the Changling sag and migrated from the side direction. The bulk process of petroleum charging in the stratigraphic hydrocarbon reservoirs in the Fuxin upheaval belt of southern Songliao Basin is deter- mined according to the isotopic age of autogenetic illite in combination with the method of fluid inclu- sions. The cognition is helpful to exactly evaluate the resource potential and exploration direction in the Fuxin upheaval belt, Changling sag and their peripheral areas. The present results indicate that the combination of the two methods (the K-Ar dating of autog

关键词：伊利石水库测定年代地层

High-resolution spatiotemporal mapping:a comprehensive view of eukaryotic cell cycle proteome dynamics

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Signal Transduction and Targeted Therapy 2024年第6期9卷 2354-2356页

作者： Jing zou Ziran Qin Long zhang Life Sciences Institute Second Affiliated Hospital of the Zhejiang University School of MedicineThe MOE Key Laboratory of Biosystems Homeostasis&Protection and Zhejiang Provincial Key Laboratory for Cancer Molecular Cell BiologyZhejiang UniversityHangzhouZhejiangChina The MOE Basic Research and Innovation Center for the Targeted Therapeutics of Solid Tumors The First Affiliated HospitalJiangxi Medical CollegeNanchang UniversityNanchangChina Cancer Center Zhejiang UniversityHangzhouZhejiangChina

In a recent study published in Cell,Litsios et *** a highresolution spatiotemporal map of the eukaryotic cell cycle proteome.1 They identified proteome-level changes in both abundance and spatial distribution throughout the cell cycle and provided a valuable resource for future exploration into the global proteome dynamics that drive cell cycle progression(https://***/cellcycle).

关键词： al. cycle dynamics

EID-based Load Frequency Control for Interconnected Hybrid Power System Integrated with RESs

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CSEE Journal of Power and Energy Systems 2024年第5期10卷 2147-2155页

作者： Fang Liu Kailiang zhang Runmin zou School of Automation Central South UniversityChangsha 410083China

By considering the influence of renewable energy sources(RESs)integration on multi-area interconnected hybrid power systems,this paper proposes an equivalent input disturbance(EID)-based load frequency control(LFC)strategy,which can effectively overcome the factors of random disturbance,model uncertainties and communication ***,an equivalent mathematical LFC model of an interconnected system is ***,the proposed robust controllers,based on the idea of EID,are designed to suppress the randomness and volatility of the renewable energy grid connection and coordinate the frequency fluctuation of the interconnected power ***,the validity and superiority of the established topology structure and the superiority of the proposed strategy are demonstrated by dynamic time domain response experiments under the condition of high penetration of renewable energy.

关键词： Interconnected hybrid power system LFC renewable energy sources(RESs) robust controllers

Energy-based Directional Pilot Protection for Distribution Networks with IBDGs Considering Unmeasured Load Switching

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CSEE Journal of Power and Energy Systems 2024年第1期10卷 139-150页

作者： Chenghan Zhou Guibin zou Shuo zhang Xuhui Wen Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education Shandong UniversityJinan 250061China

Inverter-based distributed generations(IBDGs)are the main approach to utilizing clean energy in distribution networks(DNs).Compared with synchronous source,fault response of IBDG is very *** a result,in DNs with high penetration of IBDGs,legacy protection schemes will no longer be *** this paper,an energy-based directional pilot protection scheme suitabie for DNs with IBDGs is *** scheme considers the large range of phase angle caused by IBDG integration and uses improved energy polarity criterion to determine fault *** addition,magnitude of energy is used to distinguish between faults and load switching to overcome maloperation of directional pilot protection caused by internal unmeasured load *** proposed scheme first uses local measured information to determine fault direction sign and then exchanges the direction sign with the remote *** scheme does not require high-bandwidth communication and strict data synchronization,so it can be implemented at a low ***,simulation studies verify effectiveness of the proposed scheme.

关键词： Distribution network energy polarity inverterbased distributed generation pilot protection unmeasured load

A visible-light-assisted Pd/TiO_(2.gas sensor with carbon nanotubes electrodes for trace formaldehyde detection

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Rare Metals 2024年第1期43卷 257-266页

作者： Can Liu Qiao-Qiao zou Bin Liu Yong zhang School of Physics and Optoelectronics Xiangtan UniversityXiangtan 411105China Hunan Institute of Advanced Sensing and Information Technology Xiangtan UniversityXiangtan 411105China School of Materials Science and Engineering Xiangtan UniversityXiangtan 411105China

Owing to the ppb-level detection standard toward the toxic and harmful gas,the detection of trace gases has become an important subject in the field of indoor environment ***,the traditional resistive gas sensors hardly meet the requirement due to the weak signal generated by trace gas molecules that are difficult to ***,a visible-light-assisted Pd/TiO_(2.gas sensor is proposed to endow the effective detection of trace formaldehyde(HCHO)gas without heating *** from the enhanced photocatalytic properties of TiO_(2.by Pd decoration,the visible-light-assisted Pd/TiO_(2.gas sensor can detect the HCHO gas as low as80×10^(–9)at room *** successful preparation of nanoscale TiO_(2.sensing layer is facilitated by the ultrathin carbon nanotube interdigital electrode in the gas sensor,which avoids the discontinuity of the sensing layer caused by the excessive thickness of the traditional metal *** addition,the whole preparation process of the Pd/TiO_(2.gas sensor with carbon nanotube electrodes is compatible with mainstream CMOS fabrication technology,which is expected to realize the batch fabrication and micro-integrated application of gas *** is expected that our work can provide a new strategy for the batch preparation of high-performance trace HCHO gas sensors and their future applications in portable electronic devices such as smartphones.

关键词： Visible-light-assisted gas sensor Pd/TiO_(2. Trace HCHO detection Carbon nanotubes electrodes

Possibilities for the synthesis of superheavy element Z=12. in fusion reactions

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Nuclear Science and Techniques 2024年第6期35卷 90-100页

作者： Ming-Hao zhang Yu-Hai zhang Ying {2. Xiu-Xiu Yang Gen zhang Feng-Shou zhang The Key Laboratory of Beam Technology of Ministry of Education College of Nuclear Science and TechnologyBeijing Normal UniversityBeijing 100875China Institute of Radiation Technology Beijing Academy of Science and TechnologyBeijing 100875China School of Physical Science and Technology Guangxi UniversityNanning 530004China National Laboratory of Heavy Ion Accelerator of Lanzhou Center of Theoretical Nuclear PhysicsLanzhou 730000China

Based on the dinuclear system model,the calculated evaporation residue cross sections matched well with the current experimental *** synthesis of superheavy elements Z=12. was systematically studied through combinations of stable projectiles with Z=2.-30 and targets with half-lives exceeding 50 *** influence of mass asymmetry and isotopic dependence on the projectile and target nuclei was investigated in *** reactions^(2.4)Es(^(46)Ti,3n)^(2.7)12. and^(2.2.Es(^(46)Ti,3n)^(2.5)12. were found to be experimentally feasible for synthesizing superheavy element Z=12.,with maximal evaporation residue cross sections of 6.619 and 4.12. fb at 2.9.9 and 2.3.9 MeV,respectively.

关键词： Superheavy nuclei Dinuclear system model Fusion reaction Evaporation residue cross section

Autonomy Evaluation of Unmanned Systems Based on Task Models

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Machine Intelligence Research 2024年第5期21卷 815-830页

作者： Yi zou Zehao Ni Xun Lei Chi zhang Key Laboratory of Complex Aviation Simulation System Beijing100076China State Key Laboratory of Multimodal Artificial Intelligence Systems(MAIS) Institute of AutomationChinese Academy of Sciences(CASIA)Beijing100190China Hong Kong Institute of Science&Innovation Chinese Academy of Sciences(HKISI CAS)Hong Kong999077China

In this study,relevant work on autonomy evaluation(AE)in recent years was comprehensively reviewed and classified from the perspective of task models,and a closed-loop task models based theoretical framework for AE was *** main contributions of this study are as follows.1)A taxonomy for AE based on task models was introduced to classify current theories,methods and standards.2.The limitations of the current autonomous evaluation methods were addressed to provide a theoretical framework for quantitative evaluation based on task models,and evaluation metrics for each stage were proposed based on the AE theoretical framework.3)Qualitative analyses of the superiority of the proposed AE framework based on the closed-loop task models were *** study attempts to provide a reference for researchers and engineers in the autonomous unmanned systems field and inspire future development of AE.

关键词： Unmanned system(UMS) autonomy evaluation task models closed-loop task models kill chain

Monitoring of Sweat pH and Dual-Mode Anti-Counterfeiting from Metal-Organic Framework-Based Multifunctional Gel

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Chinese Journal of Chemistry 2024年第5期42卷 491-498页

作者： Xiangnan Wang Hongli zhang Jiahe Li Gang zou Key Laboratory of Precision and Intelligent Chemistry School of Chemistry and Materials ScienceUniversity of Science and Technology of ChinaHefeiAnhui230026 China

Monitoring of sweat pH plays important roles in physiological health,nutritional balance,psychological stress,and sports ***,the combination of functional MOFs with phosphorescent material to acquire the real-time physiological information,as well as the application of dual mode anti-counterfeiting,has seldom been ***,we developed multifunctional gel films based on MOFs and phosphorescent dyes which responded to H+ions and the related mechanism was studied in *** exposure to H+,the composite gel film exhibited decreased fluorescent signal but enhanced room temperature phosphorescence(RTP),which could be utilized for sweat pH sensing through a ***,multifunctional gel films exhibited a potential application in information encryption and anti-counterfeiting by designing of stimulus responsive multiple *** research provided a new avenue for portable and non-invasive sweat pH monitoring methods while also offering insights into stimulus-responsive multifunctional materials.

关键词： Metal–Organic Frameworks Room-temperature phosphorescence Fluorescence Sweat pH monitor Anti-counterfeiting Yttrium Polymer composites Luminescence