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The Existence of Weak Solutions to the 2D Euler Equations with Initial Vorticity in BMO

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Acta Mathematica Sinica,English Series 2007年第10期23卷 1881-1888页

作者： xiang rong zhu Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

We shall prove that there exists a weak solution to the 2D Euler equations with initial vorticity in BMO and initial velocity in L^∞.

关键词： Euler equation weak solution BMO

A Note on Certain Block Spaces on the Unit Sphere

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Acta Mathematica Sinica,English Series 2006年第6期22卷 1843-1846页

作者： Xiao Feng YE xiang rong zhu Department of Mathematics (Xixi Campus) Zhejiang University Hangzhou 310028 P. R. China

In this note, we clarify a relation between block spaces and the Hardy space. We obtain Bq^0.v belong to H^1（S^n-1）＋L（ln＋L）^1＋v（s^n-1）,v〉-1,q〉1,Furthermore,if v≥ 0, q 〉 1. we verify that block spaces Rq... 详细信息

关键词： block spaces Hardy space

Average Fidelity of Teleportation in Quantum Noise Channel

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Communications in Theoretical Physics 2006年第5期45卷 802-806页

作者： HAO xiang ZHANG rong zhu Shi-Qun School of Physical Science and Technology Suzhou University Suzhou 215006 China

The effects of amplitude damping in quantum noise channels on average fidelity of quantum teleportation are analyzed in Bloeh sphere representation for every stage of teleportation. When the quantum channels are varied from maximally entangled states to non-maximally entangled states, it is found that the effects of noise channels on the fidelity are nearly equivalent to each other for strong quantum noise. The degree of damage on the fidelity of non-maximally entangled channels is smaller than that of maximally entangled channels. The average fidelity of values larger than 2/3 may be one representation indirectly showing how much the unavoidable quantum noise is.

关键词： average fidelity teleportation quantum noise channel Bloch sphere

Sharp L^2 Boundedness of the Oscillatory Hyper-Hilbert Transform along Curves

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Acta Mathematica Sinica,English Series 2010年第4期26卷 653-658页

作者： Jie Cheng CHEN Da Shah FAN xiang rong zhu Department of Mathematics Zhejiang University Hangzhou 310058 P. R. China Department of Mathematics University of Wisconsin-Milwaukee Milwaukee WI 53201 USA ICTP Mathematics Section Strada Costiera 11 I-34151 Trieste Italy

Consider the oscillatory hyper-Hilbert transform Hn,α,βf（x）=∫0^1 f（x-Г（t））e^it-βt^-1-α dt along the curve P（t） = （tp1, tP2,..., tpn）, where β 〉 α ≥ 0 and 0 〈 p1 〈 p2 〈 ... 〈 Pn. We prove that ... 详细信息

关键词： oscillatory hyper-Hilbert transform

Analysis of the relationship between postoperative ophthalmic complications and dialysis time of prekidney transplantation

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International Journal of Ophthalmology(English edition) 2012年第3期5卷 370-373页

作者： Yao-Lei Wang Fan Qi Jin-Liang Xie Lin Qi Cheng Zhou xiang-rong zhu xiang Ding Bo Yang and Peng Jin xiangya Hospital Central South University Xiangya Road No.87 Changsha 410008 Hunan Province China

AIM: To determine the influence of the dialysis time before kidney transplantation on postoperative ophthalmic complications. METHODS: One hundred and eighty three patients who were given the follow-up after kidney transplantation were selected, including 124 males and 59 females. The dialysis time before kidney transplantation was (2.9 +/- 2.1) years. Among them, there were 93 cases having cadaveric renal transplantation and 90 cases having living relative renal transplantation. The conditions of ophthalmic complications in all the patients after kidney transplantation were investigated and the incidence rate on ophthalmic complications having different dialysis time before kidney transplantation was given Chi-square test and Chi-square linear trend test. RESULTS: Among 183 patients with kidney transplantation, 95 patients (51.9%) had at least one ophthalmic complication and the rest 88 patients (48.1%) had no significant abnormality at the eye region. The most common ophthalmic complications were pinguecula/conjunctival degeneration (31 cases), the following was caligo lentis (24 cases). The main manifestations were grayish white granule and plaque turbidity occurred in posterior capsule at the posterior pole of crystaline lens. The angulus iridocornealis of 5 patients (5.3%) with cataract and glaucoma were all open-angle through the detection by gonioscope. Through visual field examination, there were 2 patients with paracentral scotoma, 2 patients with arcuate scotoma and one case with nasal step. CONCLUSION: The experiments verify that the incidence of glaucomawas relates to the dialysis time before kidney transplantation, and the incidence rate might be higher if the dialysis time is longer.

关键词： kidney transplantation hematodialysis dialysis time ophthalmic complications

Pericarp and seed of litchi and longan fruits:constituent, extraction, bioactive activity, and potential utilization

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Journal of Zhejiang University-Science B(Biomedicine & Biotechnology) 2019年第6期20卷 503-512页

作者： xiang-rong zhu Hui WANG Jian SUN Bao YANG Xue-wu DUAN Yue-ming JIANG Key Laboratory of Plant Resource Conservation and Sustainable Utilization Key Laboratory of Post-Harvest Handling of FruitsMinistry of AgricultureSouth China Botanical GardenChinese Academy of Sciences Institute of Post-harvest Technology of Agricultural Products College of Food ScienceFujian Agriculture and Forestry University Agro-food Science and Technology Research Institute Guangxi Academy of Agricultural Sciences

Litchi(Litchi chinensis Sonn.)and longan(Dimocarpus longan Lour.)fruits have a succulent and white aril with a brown seed and are becoming popular *** two fruits have been used in traditional Chinese medicine as popular herbs in the treatment of neural pain,swelling,and cardiovascular *** pericarp and seed portions as the by-products of litchi and longan fruits are estimated to be approximately 30%of the dry weight of the whole fruit and are rich in bioactive *** the recent years,many biological activities,such as tyrosinase inhibitory,antioxidant,anti-inflammatory,immunomodulatory,anti-glycated,and anti-cancer activities,as well as memory-increasing effects,have been reported for the litchi and longan pericarp and seed extracts,indicating a potentially significant contribution to human *** the increasing production of litchi and longan fruits,enhanced utilization of the two fruit by-products for their inherent bioactive constituents in relation to pharmacological effects is urgently *** paper reviews the current advances in the extraction,processing,identification,and biological and pharmacological activities of constituents from litchi and longan *** utilization of litchi and longan pericarps and seeds in relation to further research is also discussed.

关键词： Bioactive compound Extraction Litchi Longan Pharmacological activity Utilization

高维Hausdorff算子在H^(p)(R^(n))上的有界性

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数学学报（中文版） 2021年第2期64卷 289-300页

作者：何少勇朱相荣浙江师范大学数学与计算机科学学院金华321004

本文主要研究以下形式的Hausdorff算子H_(Φ)f(x)=∫_(R^(n))Φ(u_(1)….,u_(n))f(u_(1)x_(1),…,u_(n)x_(n))du_(1)…du_(n),其中Φ是R^(n)上的缓增分布.当n≥2,0 详细信息

本文主要研究以下形式的Hausdorff算子H_(Φ)f(x)=∫_(R^(n))Φ(u_(1)….,u_(n))f(u_(1)x_(1),…,u_(n)x_(n))du_(1)…du_(n),其中Φ是R^(n)上的缓增分布.当n≥2,0

关键词： Hausdorff算子 Lebesgue空间 Hardy空间

Observation of acoustic hybrid topological phases induced by the p-d orbital interactions

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 132-139页

作者： Xiao xiang Feng Gao Yu-Gui Peng Peng Wu Zong-Lin Li Xue-Feng zhu School of Physics and Innovation Institute Huazhong University of Science and Technology

In spinless systems,growing attention has recently been attracted to synthetic gauge fields,which redefine the fundamental crystal symmetries by utilizing the projective algebraic ***,synthetic gauge fields have been commonly investigated in single orbital systems,and explorations on hybrid orbitals remain elusive in ***,we report the experimental observation of hybrid topological phases induced by hybrid synthetic gauge flux,which is formed by the interaction between p and d orbitals embedded in acoustic *** breaking the translation symmetries of Lxand/or Ly,we unambiguously demonstrate the first-order M?bius edge states and higher-order corner *** work establishes a platform for seeking exotic topological phases induced by hybrid-orbitals interactions and initializing the framework of hybrid-orbitalsrelated topological *** applications can be anticipated in scenarios such as high-quality sensing and robust wave trapping due to the stepwise energy distribution of the hybrid topological phase.

关键词： topological insulator synthetic gauge field projective symmetry corner states

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变换分析对“V+一量N”结构的分化

芜湖职业技术学院学报 2000年第4期 78-81页

作者：王祥荣朱万喜安徽师范大学文学院安徽芜湖 241000

变换分析可以分化句法同构的语法形式。本文试图通过变换,从三个方面揭示“V+一量N”中宾语表受事和宾语表结果这两种结构的不同,一是量词的范围,二是“一量”结构的性质,三是“一量N”的结构特点。

关键词：变换分析 “V+一量N” 结构受事宾语含结果义的程度宾语分化