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EXACT BOUNDARY CONTROLLABILITY OF 1-D NONLINEAR SCHRDINGER EQUATION

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Applied Mathematics(A Journal of Chinese Universities) 2007年第3期22卷 277-285页

作者： Zong Xiju Zhao Yi yin zhaoyang Chi Tao Dept. of Math. Zhongshan Univ. Guangzhou 510275 China First Middle School of Tengzhou Shandong 277013 China School of Control Science and Engineering Jinan Univ. Jinan 250022 China

In this paper, the boundary control problem of a distributed parameter system described by the Schrodinger equation posed on finite interval α≤x≤β：{ iyt ＋yzz＋｜y｜^2y = 0, y（α, t） = h1 （t）, y（β, t）=h2（t） for t〉0 （S）is considered. It is shown that by choosing appropriate control inputs （hi）, （j = 1, 2） one can always guide the system （S） from a given initial state φ∈H^S（α,β）, （s ∈ R） to a terminal state φ∈ H^s（α,β）, in the time period [0, T]. The exact boundary controllability is obtained by considering a related initial value control problem of SchrSdinger equation posed on the whole line R. The discovered smoothing properties of Schrodinger equation have played important roles in our approach; this may be the first step to prove the results on boundary controllability of （semi-linear） nonlinear Schrodinger equation.

关键词： nonlinear Schrodinger equation exact boundary controllability, Hilbert uniqueness method.

Repaired morphology of CO_(2)laser rapid ablation mitigation of fused silica and its influence on downstream light modulation

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Science China(Technological Sciences) 2022年第5期65卷 1116-1126页

作者： TAN Chao ZHAO LinJie CHEN MingJun CHENG Jian ZHANG Yu ZHANG Jiong YANG Hao yin zhaoyang State Key Laboratory of Robotics and System Harbin Institute of TechnologyHarbin150001China Department of Mechanical Engineering National University of SingaporeSingapore117575Singapore

The threat of cascading damage to downstream components caused by the light modulation intensification of laser repaired morphology on the surface of fused silica optics cannot be ignored in high-power laser *** paper uses the angular spectrum diffraction theory based on the analysis of repaired surface morphology of CO_(2)laser rapid ablation mitigation to study the influence of different repaired morphologies on the downstream 355 nm laser *** show that the arc-shaped laser processing lines on the repaired surface are formed by the residual height superposition of the material after laser scanning of two adjacent layers,and the short-pulse laser can substantially suppress the heat-affected zone of the repaired *** offaxis ring caustic and on-axis hotspot are sequentially generated in the downstream modulated light fields of the conical repaired sites with different diameters.A secondary peak with modulation larger than 3 emerges downstream of the modulation ***,the maximum modulation and the secondary peak increase with the diameter and cone angle of the repaired site,and the position of the secondary peak appears farther away from the rear *** modulations of three repaired sites with cone angles of 15°,20°,and 25°can finally be stabilized below ***,the downstream optics should be installed far away from the positions where the maximum modulation and the secondary peak ***,the maximum value and the secondary peak of the downstream light modulation of double repaired sites are larger than that of the single repaired site,and both rise as the repaired sizes ***,large-scale and large-size repairing of multiple surface damages in the same area should be avoided in the laser repairing of fused silica.

关键词： fused silica laser repairing morphology light modulation secondary peak double repaired sites

LOCAL BIFURCATION OF STEADY ALMOST PERIODIC WATER WAVES WITH CONSTANT VORTICITY

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Acta Mathematica Scientia 2023年第4期43卷 1633-1644页

作者：罗巍殷朝阳 Department of Mathematics Sun Yat-sen UniversityGuangzhou 510275China

In this paper we investigate the traveling wave solution of the two dimensional Euler equations with gravity at the free surface over a flat *** assume that the free surface is almost periodic in the horizontal *** conformal mappings,one can change the free boundary problem into a fixed boundary problem for some unknown functions with the boundary *** virtue of the Hilbert transform,the problem is equivalent to a quasilinear pseudodifferential equation for an almost periodic function of one *** bifurcation theory ensures that we can obtain an existence *** existence result generalizes and covers the recent result in[15].Moreover,our result implies a non-uniqueness result at the same bifurcation point.

关键词： water waves almost periodic functions bifurcation theory constant vorticity

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Seeking Buddha

China Population Today 2011年第2期30卷 39-43页

作者： yin zhaoyang Yang Weiwei

The Wine Buddha The aroma of wine fills the *** is in the swirl of wine,and will not *** perceived submergence is only in our *** a day that is warm and sunny,everything seems as usual! But the sinking is taking place,in our mind. Human beings will sink,be it in water or in *** sinking,most human beings will long for Buddha's salvation;however, there are a few,who would sink calmly achieving unexpected *** is always believed that at the end of the rope, Buddha will stretch out his hand to rescue our lust soaked hearts. The bitter sea is boundless;if you turn around,the shore is *** the shore

关键词：葡萄酒下沉香气

Optimal amounts of coconut oil in diets improve the growth,antioxidant capacity and lipid metabolism of large yellow croaker(Larimichthys crocea)

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Marine Life Science & Technology 2020年第4期2卷 376-385页

作者： Tao Ding Ning Xu Yongtao Liu Xueshan Li Xiaojun Xiang Dan Xu Chuanwei Yao Qiangde Liu zhaoyang yin Kangsen Mai Qinghui Ai Key Laboratory of Aquaculture Nutrition and Feed Ministry of Agriculture and Rural Affairsand Key Laboratory of MaricultureMinistry of EducationOcean University of China.Qingdao 266003China Laboratory for Marine Fisheries Science and Food Production Processes Qingdao National Laboratory for Marine Science and TechnologyQingdao 266237China

The purpose of this study was to investigate the effect of different dietary coconut oil(CO)levels on growth,antioxidant capacity and lipid metabolism of juvenile large yellow croaker(Larimichthys crocea).Five iso-nitrogen(45%crude protein)and iso-lipid(13%crude lipid)experimental diets were prepared by replacing 0%(the control),25%,50%,75%and 100%fish oil with coconut *** results showed that dietary CO had no significant effect on survival rate(SR.P>0.05).However,the specific growth rate was increased significantly when compared with the control group when fish were fed the diet with 50%CO(P<0.05).The saturated fatty acids were increased significantly with increasing dietary CO in the liver and muscle,whereas the content of n-3 PUFA was decreased significantly(P<0.05).The highest activities of glutathione peroxidase and superoxide dismutase in the liver were recorded in fish-fed diet with 50%CO;conversely,the content of malondialdehyde was significantly decreased(P<0.05).The mRNA expression of peroxisome proliferator-activated receptor a,carnitine palmitoyl transferase 1 and acyl-CoA oxidase reached the highest levels in fish-fed diet with 50%*** some extent,this indicated that the rapid oxidation reaction of fatty acids to provide energy may be the reason for the rapid growth of large yellow *** conclusion,fish-fed diet with 50%CO increased the growth rate and antioxidant ***,the optimal replacement level of CO to FO in the diet should be 50%.

关键词： Coconut oil Growth performance Antioxidant capacity Lipid metabolism Larimichthys crocea

Neuroanatomy and clinical analysis of the cervical sympathetic trunk and longus colli

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The Journal of Biomedical Research 2015年第6期29卷 501-507页

作者： zhaoyang yin Jian yin Jun Cai Tao Sui Xiaojian Cao Department of Orthopedics The First Affiliated Hospital of Nanjing Medical University

Anterior cervical surgery is commonly used for cervical vertebral body lesions. However, the structure of blood vessels and nerve tissues along the route of anterior cervical surgery is complex. We aimed to measure the data of the longus colli, the sympathetic trunk and the cervical sympathetic trunk （CST） ganglia in Chinese cadaver speci- mens. A total of 32 adult cadavers were studied. We delineated the surgical anatomy of the CST. The superior and inferior/cervicothoracic ganglia of the sympathetic trunk consistently appeared. The middle ganglion was observed in 28.1% of the specimens and there were 2 cases of unilateral double middle cervical ganglia. The inferior ganglion was observed in 25.0% of the specimens and the cervicothoracic ganglion was observed in the remaining speci- mens. The distance between the CST gradually decreased from the top to the bottom, and the distance between the medial edges of the longus colli gradually broadened from the top down. The average angle between the bilat- eral CST and the midline of the vertebra was 11.2°± 1.8° on the left side and 10.3°± 1.4° on the right side. The average angle between the medial margins of longus colli of both sides was 11.1°± 1.9°. The CST is at high risk when LC muscle is cut transversely or is dragged heavily, especially at the levels of C6 and C7. Awareness of the regional anatomy of the CST could help surgeons to identify and preserve it during anterior cervical surgeries.

关键词： cervical sympathetic trunk ganglion Homer syndrome longus colli spinal surgery

大美行者术中见道——谈刘寿祥先生的水彩人生

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美术 2021年第2期638卷 54-59页

作者：尹朝阳湖北大学艺术学院

2020年,是不平静的一年,整个世界笼罩在杂乱而紧张的氛围中,新冠疫情让时间变得缓慢,日月交替显得无常,初春的武汉显得异常沉闷。2月13日晨,刘寿祥先生因感染新冠肺炎在武汉金银潭医院抢救无效而逝世,享年62岁。刘寿祥从艺从教40余年,... 详细信息

2020年,是不平静的一年,整个世界笼罩在杂乱而紧张的氛围中,新冠疫情让时间变得缓慢,日月交替显得无常,初春的武汉显得异常沉闷。2月13日晨,刘寿祥先生因感染新冠肺炎在武汉金银潭医院抢救无效而逝世,享年62岁。刘寿祥从艺从教40余年,他是一位杰出的实力派水彩画艺术家。

关键词：水彩画水彩行者

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长骨骨不连的研究进展

重庆医科大学学报 2017年第2期42卷 175-179页

作者：殷建殷照阳南京医科大学附属江宁医院骨科南京211100 徐州医科大学附属连云港市第一人民医院骨科连云港222000

长骨骨不连是骨科医生常需面对的一个棘手问题。目前Weber-Cech分类法仍是临床上最常用的分类标准,骨不连的诊断仍以美国FDA的骨不连标准最为多用。对不同类型的骨不连,治疗方法也不尽相同。近些年国内外对骨不连做了更深入的研究,在传... 详细信息

长骨骨不连是骨科医生常需面对的一个棘手问题。目前Weber-Cech分类法仍是临床上最常用的分类标准,骨不连的诊断仍以美国FDA的骨不连标准最为多用。对不同类型的骨不连,治疗方法也不尽相同。近些年国内外对骨不连做了更深入的研究,在传统的髓内钉、钢板螺钉、外固定架等手术治疗基础上提出了一些新的理念和方法,如干细胞移植及基因治疗等。本文总结目前已发表的文献,以期为临床医生更进一步研究骨不连以及临床上选择正确合理的治疗方法提供参考。

关键词：骨不连诊断治疗髓内钉骨髓移植

Combined studies of surface evolution and crack healing for the suppression of negative factors during CO_(2) laser repairing of fused silica

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Chinese Optics Letters 2021年第4期19卷 44-49页

作者： Chao Tan Linjie Zhao Mingjun Chen Jian Cheng zhaoyang yin Qi Liu Hao Yang Wei Liao State Key Laboratory of Robotics and System Harbin Institute of TechnologyHarbin 150001China Research Center of Laser Fusion China Academy of Engineering PhysicsMianyang 621900China

In order to reveal the evolution mechanism of repaired morphology and the material's migration mechanism on the crack surface in the process of CO_(2) laser repairing surface damage of fused silica optics, two multi-physics coupling mathematical models with different scales are developed, respectively. The physical problems, such as heat and mass transfer,material phase transition, melt flow, evaporation removal, and crack healing, are analyzed. Studies show that material ablation and the gasification recoil pressure accompanying the material splash are the leading factors in forming the Gaussian crater with a raised rim feature. The use of low-power lasers for a long time can fully melt the material around the crack before healing, which can greatly reduce the size of the residual air layer. Combined with the experimental research, the methods to suppress the negative factors(e.g., raised rim, deposited debris, air bubbles) in the CO_(2) laser repairing process are proposed.

关键词： CO_(2)laser repairing fused silica crack healing surface evolution