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The Local and Global Existence of Solutions for a Generalized camassa-Holm Equation

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Acta Mathematica Sinica,English Series 2013年第4期29卷 757-776页

作者： Shao Yong lai Nan LI Jian ZHANG Department of Mathematics Southwestern University of Finance and Economics Department of Mathematics Sichuan Normal University

A fully nonlinear generalization of the camassa-Holm equation is investigated. Using the 3 pseudoparabolic regularization technique, its local well-posedness in Sobolev space Hs（R） with s 〉 is established via a limiting procedure. Provided that the initial momentum （1 - 02）u0 satisfies the sign condition,the existence and uniqueness of global solutionsfor the equation are shown to be true in the space c.

关键词： Existence of global solutions camassa-Holm type equation Pseudoparabolic regulariza-tion method

Tensile behavior of Sn-0.7cu with Zn addition at various deformation temperatures

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Acta Metallurgica Sinica(English Letters) 2011年第2期24卷 155-160页

作者： Zhongbing L UO Jie ZHAO Junshan ZHANG lai WANG School of Materials Science and Engineering Dalian University of Technology Dalian 116085 China

The tensile behavior of Sn-0.7cu and Sn-0.7cu-1Zn was compared at various deformation temperatures. Refined microstructure and γ-cuZn particles were discovered with Zn addition. The strengths of Zn-containing solder were higher than that of Sn-0.7cu at room and subzero temperatures. With the elevation of deformation temperature, they both decreased and they were nearly the same at 80 ？ c. The works of fracture exhibited the similar evolution law. For Sn-0.7cu solder, the elongation after fracture was smaller and the reduction of area was bigger than those of Sn-0.7cu-1Zn. This shows that Zn addition improved the deformation stability, which is attributed to the modification of the microstructure. Dimples in fracture surface became smaller and shallower with the decreasing temperature. Ductile fracture was discovered in all the samples.

关键词： Sn-0.7cu Zn Tensile Temperature Strength Ductility Fracture

covariance estimation via fiducial inference

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Statistical Theory and Related Fields 2021年第4期5卷 316-331页

作者： W.Jenny Shi Jan Hannig Randy c.S.lai Thomas c.M.Lee Financial Planning&Analysis MassMutualBostonMAUSA Department of Statistics&Operations Research University of North CarolinaChapel HillNCUSA Department of Statistics University of CaliforniaDavisCAUSA

As a classical problem,covariance estimation has drawn much attention from the statistical com-munity for *** work has been done under the frequentist and Bayesian *** to quantify the uncertainty of the estimators without having to choose a prior,we have developed a fiducial approach to the estimation of covariance *** upon the Fiducial Berstein-von Mises Theorem,we show that the fiducial distribution of the covariate matrix is consistent under our ***,the samples generated from this fiducial distri-bution are good estimators to the true covariance matrix,which enable us to define a meaningful confidence region for the covariance ***,we also show that the fiducial approach can be a powerful tool for identifying clique structures in covariance matrices.

关键词： covariance estimation sparsity fiducial inference cliques

Advances in Journal of Geriatric cardiology over the course of a decade

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Journal of Geriatric cardiology 2020年第12期17卷 733-739页

作者： Qiang WU lai-Fu LI Yun-Dai cHEN Institute of Geriatric cardiology Chinese PLA General HospitalBeijingChina Department of cardiology Chinese PLA General HospitalBeijingChina Journal of Geriatric cardiology Editorial Office Chinese PLA General HospitalBeijingChina

The Journal of Geriatric cardiology(JGc,ISSN 1671-5141/cN 11-5329/R)is a monthly,open-access,international,and peer-reviewed journal sponsored and published by the Institute of Geriatric cardiology affiliated with chinese PLA General *** was created in 2004 by ***-Wen WANG,and as the current editor-in-chief,***-Dai cHEN has been involved in JGc for eight years and has achieved impressive advancements.

关键词： Bibliometrics citation analysis Journal of Geriatric cardiology Peer review Research hotspots

Experiments on self-excited oscillation in a thin-walled collapsible tube

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Acta Mechanica Sinica 2015年第6期31卷 817-826页

作者： Hai-Jun Wu lai-Bing Jia Xie-Zhen Yin Department of Modern Mechanics University of Science and Technology of China Department of Naval Architecture and Marine Engineering University of Strathclyde

Self-excited oscillation in a collapsible tube is an important phenomenon in physiology. An experimental approach on self-excited oscillation in a thin-walled collapsi- ble tube is developed by using a high transmittance and low Young＇s modulus silicone rubber tube. The elastic tube is manufactured by the method of centrifugal casting in our laboratory. An optical method for recording the evolution of the cross-sectional areas at a certain position along the longitudinal direction of the tube is developed based on the technology of refractive index matching. With the transparent tube, the tube law is measured under the static no-flow condition. The cross section at the middle position of the tube transfers from a quasi-circular configuration to an ellipse, and then to a dumbell-shape as the chamber pressure is increased. During the self-excited oscillation, two periodic self-excited oscillating states and one transitional oscillating state are identified. They all belong to the LU mode. These different oscillating states are related to the initial cross-sectional shape of the tube caused by the difference of the downstream transmural pressure.

关键词： collapsible tube Refractive index matching ·cross-sectional area measurement· Self-excited oscillatingstates LU mode

Impacts of wetting-drying cycles on short-term carbon and nitrogen dynamics in Amynthas earthworm casts

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Pedosphere 2021年第3期31卷 423-432页

作者： Michelle Man Suet LAW Derrick Yuk Fo lai Department of Geography and Resource Management The Chinese University of Hong KongShatinNew TerritoriesHong Kong SARChina Department of Biology Hong Kong Baptist UniversityKowloon TongKowloonHong Kong SARChina centre for Environmental Policy and Resource Management The Chinese University of Hong KongShatinNew TerritoriesHong Kong SARChina

Effects of earthworm casts on soil nutrient dynamics and their responses to changing moisture availability in subtropical ecosystems remain poorly *** study aimed to examine short-term carbon(c)and nitrogen(N)dynamics and their interactions with wetting-drying cycles in three different structural forms(i.e.,granular,globular,and heap-like)of Amynthas earthworm *** rates of c and N mineralization in the earthworm casts were examined under two different wetting-drying cycles(i.e.,2-d and 4-d wetting intervals)using a rainfall simulation *** three simulated rainfall events,subsamples of the earthworm casts were further incubated for 4 d for the determination of cO2 and N2O *** results of this study indicated that the impacts of wetting-drying cycles on the short-term c and N dynamics were highly variable among the three cast forms,but wetting-drying cycles significantly reduced the cumulative cO2 and N2O fluxes by 62%-83%and 57%-85%,respectively,when compared to the control without being subjected to any rainfall *** c mineralization rates in different cast forms were affected by the amount of organic substrates and N content in casts,which were associated with the food preference and selection of ***,the cumulative N2O fluxes did not differ among the three cast *** wetting and drying of casts not only enhanced aggregate stability by promoting bonds between the cast particles,but also inhibited microbial survival and growth during the prolonged drying period,which together hindered decomposition and *** findings demonstrated that the interactions between the structural forms,aggregate dynamics,and c and N cycling in the earthworm casts were highly complex.

关键词： aggregate stability cand N cycling earthworm activity earthworm casting greenhouse gas flux mineralization organic matter rainfall simulation

Effects of high‑grain diet feeding on fatty acid profiles in milk,blood,muscle,and adipose tissue,and transcriptional expression of lipid‑related genes in muscle and adipose tissue of dairy cows

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Journal of Animal Science and Biotechnology 2023年第5期14卷 2063-2078页

作者： Qiaorong cui Limei Lin Zheng lai Shengyong Mao Jiangsu Key Laboratory of Gastrointestinal Nutrition and Animal Health Laboratory of Gastrointestinal MicrobiologyCollege of Animal Science and TechnologyNanjing Agricultural UniversityNanjingJiangsu Province 210095China National center for International Research on Animal Gut Nutrition Nanjing Agricultural UniversityNanjing 210095China National Experimental Teaching Demonstration center of Animal Science Nanjing Agricultural UniversityNanjing 210095China

Background High-grain(HG)diets affect lipid metabolism in the liver and mammary tissue of dairy cows,but its effects on muscle and adipose tissue have not been wide ***,the aim of this study is to clarify this *** Twelve Holstein cows were randomly divided into two groups:conventional diet group(cON,n=6)and the HG diet group(n=6).On day 7 of week 4,rumen fluid was sampled to measure pH,milk was sampled to meas-ure components,and blood was sampled to measure biochemical parameters and fatty acid *** the experiment,cows were slaughtered to collect muscle and adipose tissue for fatty acid composition and transcriptome *** HG feeding decreased the ruminal pH,milk’s fat content and long-chain fatty acid proportion(Pcreased the proportion of short-and medium-chain fatty acids in the milk(Pcompared with cON *** concentrations of blood cholesterol,low-density lipoprotein,and polyunsaturated fatty acids in the HG cows were lower than those in cON cows(Pcle tissue,HG feeding tended to increase the triacylglycerol(TG)concentration(Pcriptome analysis revealed changes in the biosynthesis of the unsaturated fatty acids pathway,the regulation of lipolysis in the adipocytes pathway,and the PPAR signalling *** adipose tissue,HG feeding increased the concentration of TG and decreased the concentration of c18:1 cis9(Pcrip-tome level,the fatty acid biosynthesis pathway,linoleic acid metabolism pathway,and PPAR signalling pathway were *** HG feeding leads to subacute rumen acidosis and a decreased milk fat *** fatty acid profiles in the milk and plasma of dairy cows were changed by HG *** muscle and adipose tissue,HG feeding increased TG concentration and up-regulated the expression of genes related to adipogenesis,while down-regulated the expression of genes related to lipid *** results complement our knowledge of the

关键词： Adipose tissue Fatty acid composition High-grain diets Lipid transcriptional profiles Muscle tissue

Prevention and management of hepatitis B virus reactivation in patients with hematological malignancies treated with anticancer therapy

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World Journal of Gastroenterology 2016年第28期22卷 6484-6500页

作者： Man Fai Law Rita Ho carmen KM cheung Lydia HP Tam Karen Ma Kent cY So Bonaventure Ip Jacqueline So jennifer lai Joyce Ng Tommy Hc Tam Department of Medicine and Therapeutics Prince of Wales HospitalHong Kong China Department of Medicine North District HospitalHong Kong China

Hepatitis due to hepatitis B virus(HBV) reactivation can be severe and potentially fatal, but is preventable. HBV reactivation is most commonly reported in patients receiving cancer chemotherapy, especially rituximabcontaining therapy for hematological malignancies and those receiving stem cell transplantation. All patients with hematological malignancies receiving anticancer therapy should be screened for active or resolved HBV infection by blood tests for hepatitis B surface antigen(HBs Ag) and antibody to hepatitis B core antigen(antiHBc). Patients found to be positive for HBs Ag should be given prophylactic antiviral therapy to prevent HBV reactivation. For patients with resolved HBV infection, no standard strategy has yet been established to prevent HBV reactivation. There are usually two options. One is pre-emptive therapy guided by serial HBV DNA monitoring, whereby antiviral therapy is given as soon as HBV DNA becomes detectable. However, there is little evidence regarding the optimal interval and period of monitoring. An alternative approach is prophylactic antiviral therapy, especially for patients receiving highrisk therapy such as rituximab, newer generation of anti-cD20 monoclonal antibody, obinutuzumab or hematopoietic stem cell transplantation. This strategy may effectively prevent HBV reactivation and avoid the inconvenience of repeated HBV DNA monitoring. Entecavir or tenofovir are preferred over lamivudine as prophylactic therapy. Although there is no well-defined guideline on the optimal duration of prophylactic therapy, there is growing evidence to recommend continuing prophylactic antiviral therapy for at least 12 mo after cessation of chemotherapy, and even longer for those who receive rituximab or who had high serum HBV DNA levels before the start of immunosuppressive therapy. Many novel agents have recently become available for the treatment of hematological malignancies, and these agents may be associated with HBV reactivation. Although ther

关键词： Hepatitis B virus reactivation Hematological malignancies Rituximab Hematopoietic stem cell transplant Prophylactic antiviral therapy

EXISTENcE OF SOLUTIONS FOR SEcOND ORDER IMPULSIVE DIFFERENTIAL EQUATIONS

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Applied Mathematics(A Journal of chinese Universities) 1997年第3期12卷 307-320页

作者： lai SHAOYONG AND MU cHUNlai Department of Mathematics Shandong University Jinan

This paper deals with the asymptotic theory of initial value problems for semilinear wave equations in three space dimensions. The well posedness and validity of formal approximations on a long time scale of order |ε| -1  are discussed in the classical sense of c 2 .This result describes accuratively the approximations of solutions. At the end of this paper, an application of the asymptotic theory is given to analyze a special model for a perturbed wave equation.

关键词： coincidence degree Fredholm mapping of index 0 Impulsive differential equations L-compact mapping

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