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简介：一、什么是STUDYGROUPSTUDYGROUP是牛津大学的A.B.Tayler博士和当时他的学生J.Ockendon等人在1968年创立的,它的原名是OxfordStudyGroupwithIndustry。这种活动历时一周,是由数学工作者和工业界人士参加的旨在解决实际问题的研讨会。在研讨会的第一天,由工业界代表陈述要解决的问题和目的要求,通常会有5~6个问题。后续2~3天按问题分组讨论,试图建立问题的数学模型和求解方法来解决问题。若问题比较

简介：Let(X1,X2,…,Xn)and(Y1,Y2,…Yn)berealrandomvectorswiththesamemarginaldistributions,if(X1,X2,…,Xn)≤c(Y1,Y2,…Yn),itisshowedinthispaperthat∑i=1^nXi≤cx∑i=1^nYiandmax1≤k≤n∑i=1^kXi≤icxmax1≤k≤n∑i=1^kYihold.Basedonthisfact,amoregeneralcomparisontheoremisobtained.

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简介：Thispaperconsidersakindofstronglycoupledcrossdiffusionparabolicsystem,whichcanbeusedasthemulti-dimensionalLyumkisenergytransportmodelinsemiconductorscience.Theglobalexistenceandlargetimebehaviorareobtainedforsmoothsolutiontotheinitialboundaryvalueproblem.Whentheinitialdataareasmallperturbationofanisothermalstationarysolution,thesmoothsolutionoftheproblemundertheinsulatingboundarycondition,convergestothatstationarysolutionexponentiallyfastastimegoestoinfinity.

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简介：AsetofnpointsintheplanedeterminesatotalCn^2distances(someofthemmaybethesame).Letrnbetheratioofthemaximumdistancetotheminimumdistance,andRnbethegreatestlowerboundforrn.ByusingthemathematicalsoftwareMathematica,theauthorgetsthefollowingresultsinthispaper.R12≤2.99496…,R13≤cscπ/10.

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简介：Thispapercontainsadetailed,selfcontainedandmorestreamlinedproofofthel~2decouplingtheoremforhypersurfacesfromthepaperofBourgainandDemeterin2015.TheauthorshopethiswillserveasagoodwarmupforthereadersinterestedinunderstandingtheproofofVinogradov'smeanvaluetheoremfromthepaperofBourgain,DemeterandGuthin2015.

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简介：Makinguseofaneasiermethod,thispaperderivestheprobabilitydensityfunction（pdf）ofthelinearcombinationofrandomvariableZ=αX＋βY.Furthermore,cumulativedistributionfunction（cdf）ofZ=αX＋βY,whereXandYhavethebivariateexponentialdistributions,hasalsobeenproposedinthispaper.Resultsfromthispaperwouldhaveimportantroleinthereliabilitystudy.

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简介：Humanimmunodeficiencyvirus(HIV)hashadaninsightfulimpactaboutthestateofhealthinessofhumanimmunesystem.Duetogreatimprovementindrugtherapy,HIVinfectionshavebeenreducedby17%overthepasteightyears.IthasbeenprovedthatmosteffectivetreatmentHAART(HighlyActiveAntiRetroviralTherapy)mainlycontrolsthediseasesprogressionbutitdoesnoteradicatethediseasescompletely.ReverseTranscriptaseInhibitordrugsspeciallyassociatedwithvirusspecificCytotoxicT-Lymphocyte(CTL)thatdeclineswithdiseaseprogression.CTLresponsesagainstAIDSpathogenesiscouldbepotentialinthedynamicsofvirusreplication,recognitionandclearanceofinfectedcells.InthisresearcharticleamathematicalmodelhasbeenproposedonthebasisofCTLresponsesuppressioninthechronicphaseofinfectionduetopresenceofvirus.WealsoconsiderthegrowthoftheviruspopulationfromtheinfectedCD4~+Tcellsbuddingprocessandfromtheotherinfectedcellslikemacrophagesandthymocytes.Ouranalyticalandnumericalstudiesareconsistentwithexistingobservationsfromalliedareas.

简介：CrystalgrowthandsoluteprecipitationisaStefanproblem.Itisafreeboundaryproblemforaparabolicpartialdifferentialequationwithatime-dependentphaseinterface.Thevelocityofthemovinginterfacebetweensoluteandcrystalisalocalfunction.Thedendriticstructureofthecrystalinterface,whichdevelopsdynamically,requireshighresolutionoftheinterfacegeometry.ThesefactsmaketheLagrangianfronttrackingmethodwellsuitedfortheproblem.Inthispaper,weintroduceanupgradedversionofthefronttrackingcodeanditsassociatedalgorithmsforthenumericalstudyofcrystalformation.Wecompareourresultswiththesmoothedparticlehydrodynamicsmethod(SPH)intermsofthecrystalfractaldimensionwithitsdependenceontheDamkohlernumberanddensityratio.

简介：这份报纸在人的真皮的部分处理散开的液体运输和分发的数学学习。它连续地通过皮肤流动的细胞内部的液体轰炸以便维持液体的帐号在身体以内平衡。一个数学模型为这个过程和有限元素方法被想象(女性)被采用在不同皮肤层计算液体的集中。这个评价与织物媒介和空气的另外的参数在关系被分析。

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