A RANDOM DISPERSION SCHRÖDINGER EQUATION WITH NONLINEAR TIME-DEPENDENT LOSS/GAIN

Jian, Hui,Liu, Bin Korean Mathematical Society 2017 대한수학회보 Vol.54 No.4

In this paper, the limit behavior of solution for the $Schr{\ddot{o}}dinger$ equation with random dispersion and time-dependent nonlinear loss/gain: $idu+{\frac{1}{{\varepsilon}}}m({\frac{t}{{\varepsilon}^2}}){\partial}_{xx}udt+{\mid}u{\mid}^{2{\sigma}}udt+i{\varepsilon}a(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$ is studied. Combining stochastic Strichartz-type estimates with $L^2$ norm estimates, we first derive the global existence for $L^2$ and $H^1$ solution of the stochastic $Schr{\ddot{o}}dinger$ equation with white noise dispersion and time-dependent loss/gain: $idu+{\Delta}u{\circ}d{\beta}+{\mid}u{\mid}^{2{\sigma}}udt+ia(t){\mid}u{\mid}^{2{\sigma}_0}udt=0$. Secondly, we prove rigorously the global diffusion-approximation limit of the solution for the former as ${\varepsilon}{\rightarrow}0$ in one-dimensional $L^2$ subcritical and critical cases.

Molecular Design of Photovoltaic Polymers for Efficient Organic Solar Cells

Jianhui HOU,Wenchao ZHAO,Shaoqing ZHANG,Huifeng YAO 한국고분자학회 2016 한국고분자학회 학술대회 연구논문 초록집 Vol.41 No.2

An Adaptive Neural Sliding Mode Control with ESO for Uncertain Nonlinear Systems

Jianhui Wang,Peisen Zhu,Biaotao He,Guiyang Deng,Chunliang Zhang,Xing Huang 제어·로봇·시스템학회 2021 International Journal of Control, Automation, and Vol.19 No.2

An adaptive neural sliding mode control with ESO for uncertain nonlinear systems is proposed to improve the stability of the control system. Any control system inevitably exists uncertain disturbances and nonlinearities which severely affect the control performance and stability. Neural network can be utilized to approximate the uncertain nonlinearities. Nevertheless, it produces approximate errors, which will become more difficult to deal with as the order of the system increases. Moreover, these errors and uncertain disturbances will result in a consequence that the control system can be unable to converge quickly, and has to deal with a lot of calculations. Therefore, in order to perfect the performance and stability of the control system, this paper combines sliding mode control and ESO, and designs an adaptive neural control method. The simulation results illustrate that the improved system has superior tracking performance and anti-interference ability.

Construction Method of Location Fingerprint Database Based on Gaussian Process Regression Modeling

Jianhui Han,Xiang Chen 보안공학연구지원센터 2016 International Journal of Database Theory and Appli Vol.9 No.10

In the terms of indoor positioning, the location of the fingerprint technology that based on receiving wireless LAN WIFI signal strength (RSS) has been widely used. In the process of location of fingerprint offline training, the traditional method has more manpower and time. In this paper, we propose a location of fingerprint database constructing method that based on Gaussian process regression (GPR), compared with the process of the traditional method for collecting a large number of fingerprint, now we based on the propagation law of space radio signals, the Gaussian process regression model is applied to the construction of the location fingerprint database, and forecast the location of fingerprint inside the located area through the study of collected samples, by doing this we can reduce the collecting density of fingerprint samples, improve the efficiency of position fingerprint positioning technology.

Collision-Free Adaptive Control for UAV Formation with Input Saturation and Communication Delays

Jianhui Lu,Fan Luo,Zhong Zheng,Mingxin Hou,Lin Wang 한국항공우주학회 2022 International Journal of Aeronautical and Space Sc Vol.23 No.3

This paper addresses the collision-free adaptive formation control problem for multiple unmanned aerial vehicles subject to input saturation and communication delays. First, a novel collision-free adaptive saturated control scheme is proposed using potential function and anti-windup compensator approaches. It shows that the velocity consensus and collision avoidance are realized when the directed communication topology is strongly connected. Second, the collision-free adaptive saturated control algorithm is proposed considering communication delays and collision avoidance, and it enables the asymptotic stability of the closed-loop system when the time-varying communication delays are decreasing to zero eventually. Finally, numerical simulations demonstrate that the proposed control approaches are effective, while the objectives of collision avoidance and velocity consensus are fulfilled.

Electronic transport in benzodifuran single-molecule transistors

Jianhui LIAO,An XIANG,Hui LI,Songjie CHEN,Shi-Xia LIU,Silvio DECURTINS,Meilin BAI,Shimin HOU 한국진공학회 2016 한국진공학회 학술발표회초록집 Vol.2016 No.8

Tumor-Associated Macrophages Derived TGF-β-Induced Epithelial to Mesenchymal Transition in Colorectal Cancer Cells through Smad2,3-4/Snail Signaling Pathway

Jianhui Cai,Limin Xia,Jinlei Li,Shichang Ni,Huayu Song,Xiangbin Wu 대한암학회 2019 Cancer Research and Treatment Vol.51 No.1

Purpose We investigated the role of tumor-associated macrophages (TAMs) on the epithelial to mesenchymal transition (EMT) of colorectal cancer cells and determined the potential mechanism involved in the metastatic process. Materials and Methods In this study, flow cytometry was used to detect the expression of target proteins. We used transwell assay to evaluate the migration of cancer cells under specific conditions. Using real-time polymerase chain reaction, we examined the expressions of cytokines and EMTrelated markers in mRNA level. Animal assay was performed for analysis in vivo and hematoxylin and eosin was used to visualize the effect of TAMs on tumor metastasis. We also used immunohistochemistry and Western blotting to detect the expression of target proteins. Results Here, we observed enrichment of TAMs in colorectal tumor tissues, resulting in high metastasis in clinical therapy. Moreover, those TAMs could facilitate the EMT progression of colorectal cancer cells, which is induced by the transforming growth factor-β (TGF-β) derived from TAMs, leading to the invasion and migration of cancer cells. Conclusion Our results demonstrated that TAMs contributed the EMT progression through a TGF-β/ Smad2,3-4/Snail signaling pathway, and disrupting this pathway with TGF-β receptor inhibitor could suppress metastasis, readjusting our focus to the connection of TAMs and cancer metastasis.

Bioactivity kinetics of organic matter biodegradation and nitrification

Jianhui Wang,Lu Wang,Enyan Cui,Hai Lu 한국화학공학회 2018 Korean Journal of Chemical Engineering Vol.35 No.6

Biodegradation of organic matter and nitrification of ammonia nitrogen was studied by measuring the electron transport system (ETS) activity in activated sludge. The feasibility of characterizing the bioactivity of activated sludge based on the ETS was discussed. Then, bioactivity kinetics for the biodegradation and nitrification of organic matter was analyzed using the Michaelis–Menten equation. The results indicated that the ETS activity of activated sludge reflects the progression of organic matter biodegradation and nitrification of ammonia nitrogen; moreover, ETS activity is sensitive to the loading of organic matter and ammonia nitrogen and also to changes in alkalinity during the reaction. Therefore, it is feasible to characterize the bioactivity of an activated sludge system with ETS activity. The Michaelis constant for organic matter biodegradation was KTs=368.9mg/L; UTm=90.9mgTF/(gTss·h); KIs=88.42mg/L; and UIm=277.8mgINTF/(gTss·h); for the nitrification of ammonia nitrogen, the Michaelis constant was KTs=16.89 mg/L; UTm=34.6mgTF/(gTss·h); KIs=6.0mg/L; and UIm=196.08mgINTF/(gTss·h). Additional analyses of bioactivity kinetics confirmed that the organic matter oxidation rate of heterotrophic bacteria was higher than that of autotrophic nitrifying bacteria.

Kinetics of pentachlorophenol co-metabolism removal by micro-aeration sequencing batch reactor process

Jianhui Wang,Guolong Xie,Xin Qi,Ruifeng Ming,Bin Zhang,Hai Lu 한국화학공학회 2022 Korean Journal of Chemical Engineering Vol.39 No.6

Four carbon sources (including trehalose, glucose, acetic acid, and yeast extract) were used as the co-metabolicmatrix of pentachlorophenol (PCP). The effect of the carbon sources on the process of acclimatization and degradationof PCP was investigated. The acclimatization rate of carbon sources with different substrates, the activities ofmicrobial enzymes in the co-metabolism process, and the control of co-metabolism reaction conditions were evaluated. The kinetic model of co-metabolic degradation of PCP in micro aerated sequencing batch reactor (SBR) wasestablished based on the Monod equation. The model was applied to fit the operating conditions of the micro aeratedSBR process in this study. The experimental results showed that the type and concentration of metabolic matrix greatlyinfluenced the degradation rate of PCP, and its trehalose, glucose, and acetic acid enhanced the degradation of PCP. Inparticular, the strengthening effect of trehalose was pronounced. When trehalose was used as a co-metabolic carbonsource, the time required for PCP degradation to a predetermined degree was shortened to one-fifth of the original,PCP removal rate exceeded 95%. At the same time, yeast extract inhibited the biodegradation of PCP when it was usedas an additional matrix carbon source. After the co-metabolism carbon source was added to the system, the proliferationrate of the microorganism was increased, and the key enzymes of PCP degradation were induced in the system. When the co-metabolic carbon source concentration was high, it accelerated active enzymes’ induction and maintainedhigh activity; 2,3,5-triphenyltetrazolium chloride-electron transport system (TTC-ETS) activity reached about 7.6mgTF/(gTSS·H), and 2-(p-iodophenyl)-3-(p-nitrophenyl)-5-phenyl Tetrazolium chloride-electron transport system(INT-ETS) activity reached 63.5mgINTF/(gTSS·H). When the concentration of co-metabolism carbon source wasextremely high, the co-degradation of toxic organic compounds was inhibited, leading to a decrease in the co-degradationrate. The kinetic model optimized the co-metabolism substrate. The degradation rate of PCP was increased by54.9% by micro-aeration-co-metabolism. The kinetic model was used to fit the microaerobic reaction process of microaeration SBR. The relevant result was in agreement with the experimental result by 97.6%.

LIMIT OF FUEL INJECTION RATE IN THE COMMON RAIL SYSTEM UNDER ULTRA-HIGH PRESSURES

Jianhui Zhao,Leonid Grekhov,Pengfei Yue 한국자동차공학회 2020 International journal of automotive technology Vol.21 No.3

The common rail injection system with higher injection pressure can improve injection characteristics. However, relevant researches for injection characteristics under ultra-high pressures are insufficient. In this article, the results of experiments with a maximum injection pressure of 390 MPa for nine different injectors of four types are presented. The experiment showed the existence of supercritical pressure during injection. At pressures below the supercritical pressure, the injection quantity increases with increasing injection pressure, however, when the injection pressure is over supercritical pressure, the injection quantity does not increase. According to the experiment results, the supercritical injection pressure is about 300 ~ 350 MPa. Under ultra-high pressures, fuel is strongly heated and the local sound velocity decreases, and the adiabatic flow velocity reaches the sound velocity. Under supercritical pressure, the injection rate ceases to increase and even begins to fall. The traditional equations for calculating the injection rate cannot correctly describe the injection under ultrahigh pressures. A new mathematic model with considering the fuel heating for describing the injection quantity of compressible fluid was developed, this model is not only suitable for calculating the injection quantity under ultra-high pressures, but under traditional injection pressures.