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Essentially Commuting Truncated Toeplitz Operators

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Acta Mathematica Sinica,English Series 2024年第10期40卷 2453-2480页

作者： Xi ZHAO tao yu School of Mathematics and Science Hebei GEO University Shijiazhuang 050031P.R.China School of Mathematical Sciences Dalian University of Technology Dalian 116024P.R.China

A model space is a subspace of the Hardy space which is invariant under the backward shift,and a truncated Toeplitz operator is the compression of a Toeplitz operator on some model *** this paper we prove a necessary ... 详细信息

关键词： Truncated Toeplitz operator model space commutator maximal ideal space compact operator

Operators on the orthogonal complement of the Dirichlet space (Ⅱ)

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Science China Mathematics 2011年第9期54卷 2005-2012页

作者： yu tao Department of Mathematics Zhejiang Normal University Jinhua 321004 China

In this paper we first prove that a dual Hankel operator Rφ on the orthogonal complement of the Dirichlet space is compact for φ ∈ W^1,∞（D）, and then that a semicommutator of two Toeplitz operators on the Dirichlet space or two dual Toeplitz operators on the orthogonal complement of the Dirichlet space in Sobolev space is compact. We also prove that a dual Hankel operator Re with φ ∈ W^1,∞（D） is of finite rank if and only if Be is orthogonal to the Dirichlet space for some finite Blaschke product B, and give a sufficient and necessary condition for the semicommutator of two dual Toeplitz operators to be of finite rank.

关键词： Sobolev space Dirichlet space dual Toeplitz operator dual Hankel operator Toeplitz operator

A new liquid membrane diffusion model for characterizing the adsorption kinetics of europium by using a continuous measurement of adsorption platform

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Nuclear Science and Techniques 2024年第1期35卷 59-72页

作者： Hao-Qi yu tao yu Jian-Hua Ye State Key Laboratory of Nuclear Resources and Environment East China University of TechnologyNanchang 330013China CGN Cangnan Nuclear Power Co. Ltd.Cangnan 325800China Jiangxi Province Key Laboratory of Polymer Micro/Nano Manufacturing and Devices East China University of TechnologyNanchang 330013China School of Nuclear Science and Engineering East China University of TechnologyNanchang 330013China

To explore the kinetic adsorption under continuous and nonequilibrium states, an integration of continuous measurement and adsorption platform kinetics method was proposed, which was initially called the ICM-AP kinetics method, and a corresponding kinetic adsorption experimental method was developed. Adsorption experiments of europium(Eu) on Ca-bentonite,Na-bentonite, and the D231 cation exchange resin were performed using the ICM-AP kinetics method and continuous measurements. Because the kinetic experimental results observed in this study were different from those of traditional batch adsorption data, pseudo-first-order or pseudo-second-order kinetic models were unsuitable for fitting the experimental ***, a liquid membrane diffusion(LMD) model was developed based on the assumption of simultaneous adsorption/desorption to discuss the mechanism of kinetic adsorption. The kinetic adsorption mechanism was also studied by using *** results indicated that the proposed adsorption model can fit the experimental data more suitably, and the adsorption/desorption behaviors of Eu on bentonite and the D231 resin were simultaneously observed, suggesting that the adsorption kinetics of Eu(Ⅲ) was mainly dominated by hydrated Eu(Ⅲ) ions on the liquid membrane.

关键词： ICM-AP method LMD model Adsorption mechanism Eu(Ⅲ)

Effects of Re, Ta, and W in [110] (001) dislocation core of γ/γ' interface to Ni-based superalloys: First-principles study

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Chinese Physics B 2020年第9期29卷 390-396页

作者： Chuanxi Zhu tao yu Central Iron and Steel Research Institute Beijing 100081China

The strengthening effects of alloying elements Re,Ta,and W in the[110](001)dislocation core of theγ/γ'interface are studied by first-principles *** the level of energy the substitution formation energies and the migration energies of alloying elements are computed and from the level of electron the differential charge density(DCD)and the partial density of states(PDOSs)are *** elements above are found to tend to substitute for Al sitesγ'phase by analyzing the substitution formation *** calculation results for the migration energies of alloying elements indicate that the stability of the[110](001)dislocation core is enhanced by adding Ta,W,and Re and the strengthening effect of Re is the *** results agree with the relevant *** electronic structure analysis indicates that the electronic interaction between Re-nearest neighbor(NN)Ni is the *** reason why the doped atoms have different strengthening effects in the[110](001)dislocation core is explained at the level of electron.

关键词： Ni-based superalloys dislocation structure electronic structure first-principles calculations

EXPONENTIALLY FITTED LOCAL DISCONTINUOUS GALERKIN METHOD FOR CONVECTION-DIFFUSION PROBLEMS

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Journal of Computational Mathematics 2012年第3期30卷 298-310页

作者： tao yu Xingye yue Department of Mathematics and Physics Jinggangshan UniversityJi'an 343009China Department of Mathematics Soochow UniversitySuzhou 215006China

In this paper, we study the local discontinuous Galerkin （LDG） method for one- dimensional singularly perturbed convection-diffusion problems by an exponentially fitted technique. We prove that the method is uniform... 详细信息

关键词： Exponentially fitted Local discontinuous Galerkin method Convection-diffusionproblem.

The multiscale simulation of metal organic chemical vapor deposition growth dynamics of GaInP thin film

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Science China(Physics,Mechanics & Astronomy) 2010年第8期53卷 1481-1490页

作者： HU GuiHua yu tao Key Laboratory of Advanced Control and Optimization for Chemical Processes Ministry of EducationEast China University of Science and TechnologyShanghai 200237China CIMS&Robot Center of Shanghai University Shanghai 200072China

As a Group III–V compound, GaInP is a high-efficiency luminous material. Metal organic chemical vapor deposition (MOCVD) technology is a very efficient way to uniformly grow multi-chip, multilayer and large-area thin film. By combining the computational fluid dynamics (CFD) and the kinetic Monte Carlo (KMC) methods with virtual reality (VR) technology, this paper presents a multiscale simulation of fluid dynamics, thermodynamics, and molecular dynamics to study the growth process of GaInP thin film in a vertical MOCVD reactor. The results of visualization truly and intuitively not only display the distributional properties of the gas’ thermal and flow fields in a MOCVD reactor but also display the process of GaInP thin film growth in a MOCVD reactor. The simulation thus provides us with a fundamental guideline for optimizing GaInP MOCVD growth.

关键词： metal organic chemical vapor deposition computational fluid dynamics kinetic Monte Carlo virtual reality multiscale simulation GaInP thin film growth

Current molecular biologic techniques for characterizing environmental microbial community

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Frontiers of Environmental Science & Engineering 2012年第1期6卷 82-97页

作者： Dawen GAO yu tao State Key Laboratory of Urban Water Resource and Environment Harbin Institute of TechnologyHarbin 150090China

Microbes are vital to the earth because of their enormous numbers and instinct function maintaining the natural balance. Since the microbiology was applied in environmental science and engineering more than a century ago, researchers desire for more and more information concerning the microbial spatio-temporal variations in almost every fields from contaminated soil to wastewater treatment plant （WWTP）. For the past 30 years, molecular biologic techniques explored for environ- mental microbial community （EMC） have spanned a broad range of approaches to facilitate the researches with the assistance of computer science： faster, more accurate and more sensitive. In this feature article, we outlined several current and emerging molecular biologic techniques applied in detection of EMC, and presented and assessed in detail the application of three promising tools.

关键词： molecular biological technique microbial community denaturing gradient gel electrophoresis (DGGE) terminal restriction fragment length polymorph- ism (T-RFLP) environmental applications

Roles of liver innate immune cells in nonalcoholic fatty liver disease

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World Journal of Gastroenterology 2010年第37期16卷 4652-4660页

作者： yu-tao Zhan Wei An Department of Gastroenterology and Hepatology Beijing Tongren Hospital Capital Medical University Beijing 100730 China Department of Cell Biology Capital Medical UniversityBeijing 100069China

Nonalcoholic fatty liver disease (NAFLD) has become the most common liver disease in the United States and other developed countries and is expected to increase in the next few years. Emerging data suggest that some patients with NAFLD may progress to nonalcoholic steatohepatitis (NASH), cirrhosis and even hepatocellular carcinoma. NAFLD can also promote the development and progression of disease in other organ systems, such as the cardiovascular and endocrine (i.e. diabetes) systems. Thus, understanding the pathogenesis of NAFLD is of great clinical importance and is critical for the prevention and treatment of the disease. Although the "two-hit hypothesis" is generally accepted, the exact pathogenesis of NAFLD has not been clearly established. The liver is an important innate immune organ with large numbers of innate immune cells, including Kupffer cells (KCs), natural killer T (NKT) cells and natural killer (NK) cells. Recent data show that an imbalance in liver cytokines may be implicated in the development of fatty liver disease. For example, Th1 cytokine excess may be a common pathogenic mechanism for hepatic insulin resistance and NASH. Innate immune cells in the liver play important roles in the excessive production of hepatic Th1 cytokines in NAFLD. In addition, liver innate immune cells participate in the pathogenesis of NAFLD in other ways. For example, activated KCs can generate reactive oxygen species, which induce liver injury. This review will focus primarily on the possible effect and mechanism of KCs, NKT cells and NK cells in the development of NAFLD.

关键词： Innate immune cells Nonalcoholic fatty liver disease Kupffer cell Natural killer T cell Natural killer cell

Bending analysis of a functionally graded piezoelectric cantilever beam

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Science China(Physics,Mechanics & Astronomy) 2007年第1期50卷 97-108页

作者： yu tao ZHONG Zheng School of Aerospace Engineering and Applied Mechanics Tongji UniversityShanghai 200092China

A new analysis based on Airy stress function method is presented for a functionally graded piezoelectric material cantilever beam. Assuming that the mechanical and electric properties of the material have the same variations along the thickness direction, a two-dimensional plane elasticity solution is obtained for the coupling electroelastic fields of the beam under different loadings. This solution will be useful in analyzing FGPM beam with arbitrary variations of material properties. The influences of the functionally graded material properties on the structural response of the beam subjected to different loads are also studied through numerical examples.

关键词： functionally graded piezoelectric material cantilever beam bending electroelastic fields