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The First Initial Boundary Value Problem for Parabolic Hessian Equations on Riemannian Manifolds

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Communications in Mathematical Research 2013年第4期29卷 305-319页

作者： Ren Chang-yu yin jing-xue School of Mathematics Jilin University

For a class of elliptic Hessian operators, one type of corresponding parabolic Hessian equations is studied on Riemannian manifolds. uniqueness of the admissible solution to the first initial boundary the equations ar... 详细信息

关键词： Hessian operator fully nonlinear Riemannian manifold

Blow-up Sets to a Coupled Heat System

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Communications in Mathematical Research 2014年第2期30卷 117-130页

作者： Wang Jin-huan Hong Liang yin jing-xue Department of Mathematics Liaoning University Department of Mathematical Sciences Tsinghua University School of Mathematical Sciences Dalian University of Technology

This paper deals with a heat system coupled via local and localized sources subject to null Dirichlet boundary conditions. In a previous paper of the authors, a complete result on the multiple blow-up rates was obtained. In the present paper, we continue to consider the blow-up sets to the system via a complete classification for the nonlinear parameters. That is the discussion on single point versus total blow-up of the solutions. It is mentioned that due to the influence of the localized sources, there is some substantial difficulty to be overcomed there to deal with the single point blow-up of the solutions.

关键词： coupled localized source coupled local source total blow-up singlepoint blow-up blow-up set

Two Dimensional Cahn-Hilliard Equation with Concentration Dependent Mobility and Gradient Dependent Potential

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Communications in Mathematical Research 2011年第2期27卷 156-168页

作者： HUANG RUI yin jing-xue WANG LIANG-WEI School of Mathematical Sciences South China Normal University Guangzhou 510631 Institute of Mathematics Jilin University Changchun 130012

In this paper we consider the initial boundary value problem of Cahn-Hilliard equation with concentration dependent mobility and gradient dependent potential. By the L^P type estimates and the theory of Morrey spaces,we prove the Holder continuity of the *** we obtain the existence of global classical *** present work can be viewed as an extension to the previous work on the Cahn-Hilliard equation with concentration dependent mobility and potential.

关键词： Cahn-Hilliard equation concentration dependent mobility gradient de- pendent potential

Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

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Communications in Mathematical Research 2009年第1期25卷 88-96页

作者： JIN CHUN-HUA yin jing-xue ZHANG XU-PING Department of Mathematics Jilin University Changchun 130012

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case t... 详细信息

关键词： quenching simultaneous non-simultaneous nonlinear boundary flux

A Smoothing SAA Method for a Stochastic Linear Complementarity Problem

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Communications in Mathematical Research 2013年第2期29卷 97-107页

作者： Zhang Jie Zhang Hong-wei Zhang Li-wei yin jing-xue School of Mathematics Liaoning Normal University School of Mathematical Sciences Dalian University of Technology

Utilizing the well-known aggregation technique, we propose a smoothing sample average approximation （SAA） method for a stochastic linear complementarity problem, where the underlying functions are represented by expectations of stochastic functions. The method is proved to be convergent and the preliminary numerical results are reported.

关键词： aggregation technique smoothing SAA method stochastic linear com- plementarity problem

基于BOM的复杂产品制造WBS动态构建研究

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运筹与管理 2016年第6期25卷 282-287页

作者：任南王银薛静江苏科技大学经济管理学院江苏镇江212003

为了有效构建复杂产品制造工作结构分解(Work Breakdown Structure,WBS),在管理对象上标准化地集成管理要素,减少管理过程中人为处理的复杂性,本文提出针对复杂产品物料清单(Bill of Material,BOM)的层层演进构建复杂产品制造WBS的思路... 详细信息

为了有效构建复杂产品制造工作结构分解(Work Breakdown Structure,WBS),在管理对象上标准化地集成管理要素,减少管理过程中人为处理的复杂性,本文提出针对复杂产品物料清单(Bill of Material,BOM)的层层演进构建复杂产品制造WBS的思路,即首先形式化BOM和WBS,然后基于可扩展标记语言(Extensive Makeup Language,XML)进行BOM和WBS各层级之间的横向信息映射和反馈,以实现复杂产品制造相关任务信息的动态集成,最后,基于成熟度定义整合各层WBS,完成复杂产品制造WBS的分层构建。

关键词：管理科学工作分解结构(WBS) 物料清单(BOM) 映射复杂产品

Prospects on mangrove knowledge services in the smart era: From plant atlas to knowledge graphs

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Science China Earth Sciences 2025年第1期68卷 111-127页

作者： Zhi-Wei HOU Wenlong jing Cheng-Zhi QIN Ji YANG Qing XIA Xiaoling yin Key Laboratory of Guangdong for Utilization of Remote Sensing and Geographical Information System Guangdong Open Laboratory of Geospatial Information Technology and Application Guangzhou Institute of Geography Guangdong Academy of Sciences Southern Marine Science and Engineering Guangdong Laboratory (Guangzhou) State Key Laboratory of Resources and Environmental Information System Institute of Geographic Sciences and Natural Resources ResearchChinese Academy of Sciences College of Resources and Environment University of Chinese Academy of Sciences School of Traffic & Transportation Engineering Changsha University of Science and Technology

Mangroves are crucial to the ecological security of the Earth and human well-being. Their management, conservation, and restoration are of great importance and necessitate the support of spatio-temporal information and multidisciplinary knowledge such as biology and ecology. Traditional knowledge services such as plant atlas provide illustrated textual knowledge of mangroves. However, this kind of service is oriented to information retrieval and is incapable of effectively mining and utilizing fragmented knowledge from multi-source heterogeneous data, facing the problem of “massive data, rare knowledge”. Knowledge graphs are capable of extracting, organizing, and fusing the knowledge contained in massive data into semantic networks that can be understood and computed by computers. They provide a solution for the realization of intelligent knowledge services. Focusing on the urgent need for mangrove knowledge acquisition, formal representation, and intelligent services, this paper proposes a research prospect on mangrove knowledge graphs and knowledge services. We first analyze the similarities and differences between various domain-specific concepts of Tupu. On this basis, we define the mangrove knowledge graph as a large-scale knowledge base that integrates multi-disciplinary knowledge and spatio-temporal information with mangrove ecosystems as the core. Then, we propose a research framework for mangrove knowledge services that can realize the transformation from multi-modal data to intelligent knowledge services, including multiple research levels such as ubiquitous data sensing and aggregation, knowledge organization and graph construction, and intelligent mangrove knowledge services. Subsequently, the methods and workflow for constructing mangrove knowledge graphs are introduced. Finally, we discuss the challenges and possible future directions of mangrove knowledge services in the smart era, including the construction of a mangrove knowledge system that integra

关键词： Mangrove Tupu Knowledge graph Multi-modal Knowledge service

关于粘性Cahn-Hilliard方程的注记

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Northeastern Mathematical Journal 2004年第1期20卷 101-108页

作者：柯媛元尹景学 DepartmentofMathematics JilinUniversityChangchun130012

In this note, we study the global existence of classical solutions for the viscous Cahn-Hilliard equation with spatial dimension n≤5. Based on the Schauder type estimates and energy estimates, we establish the global... 详细信息

关键词： Cahn-Hilliard equation existence uniqueness

Dynamic Regulation of Hydrogen Bonding Networks and Solvation Structures for Synergistic Solar‑Thermal Desalination of Seawater and Catalytic Degradation of Organic Pollutants

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Nano-Micro Letters 2025年第2期17卷 548-565页

作者： Ming‑Yuan Yu jing Wu Guang yin Fan‑Zhen Jiao Zhong‑Zhen Yu Jin Qu Beijing Key Laboratory of Advanced Functional Polymer Composites Beijing University of Chemical TechnologyBeijing 100029People’s Republic of China State Key Laboratory of Organic‑Inorganic Composites College of Materials Science and EngineeringBeijing University of Chemical TechnologyBeijing 100029People’s Republic of China

Although solar steam generation strategy is efficient in desalinating seawater,it is still challenging to achieve continuous solar-thermal desalination of seawater and catalytic degradation of organic ***,dynamic regulations of hydrogen bonding networks and solvation structures are realized by designing an asymmetric bilayer membrane consisting of a bacterial cellulose/carbon nanotube/Co_(2)(OH)_(2)CO_(3)nanorod top layer and a bacterial cellulose/Co_(2)(OH)_(2)CO_(3)nanorod(BCH)bottom ***,the hydrogen bonding networks inside the membrane can be tuned by the rich surface–OH groups of the bacterial cellulose and Co_(2)(OH)_(2)CO_(3)as well as the ions and radicals in situ generated during the catalysis ***,both SO_(4)^(2−)and HSO_(5)−can regulate the solvation structure of Na^(+)and be adsorbed more preferentially on the evaporation surface than Cl^(−),thus hindering the de-solvation of the solvated Na^(+)and subsequent nucleation/growth of ***,the heat generated by the solar-thermal energy conversion can accelerate the reaction kinetics and enhance the catalytic degradation *** work provides a flow-bed water purification system with an asymmetric solar-thermal and catalytic membrane for synergistic solar thermal desalination of seawater/brine and catalytic degradation of organic pollutants.

关键词： Solar steam generation Seawater desalination Catalytic degradation Bacterial cellulose Cobalt hydroxycarbonate nanorods