简介：Considerthemotionofimmersedhypersurfacesdrivenbysurfacediffusionflowandgiveanlowerboundonthelifespanofasmoothimmersedsolution,whichdependsonlyonhowmuchthecurvatureoftheinitialsurfaceisconcentratedinspace.

简介：Theauthorconsidersthelife-spanofclassicalsolutionstoCauchyproblemforgeneralfirstorderquasilinearstrictlyhyperbolicsystemsintwoindependentvariableswith"slow"decayinitialdata.Byconstructinganexample,firstitisillustratedthattheclassicalsolutiontothiskindofCauchyproblemmayblowupinafinitetime,evenifthesystemisweaklylinearlydegenerate.Thensomelowerboundsofthelife-spanofclassicalsolutionsaregiveninthecasethatthesystemisweaklylinearlydegenerate.Theseestimatesimplythat,whenthesystemisweaklylinearlydegenerate,theclassicalsolutionexistsalmostgloballyintime.Finally,itisprovedthatTheorems1.1-1.3in[2]arestillvalidforthiskindofinitialdata.

简介：Thenecessitytodistributethedataoverthewideareanetwork(WAN)tothephysicists'homeinstituteswillincrease,andtheeffectiveutilizationofthenetworkbecomescrucial,However,networksinthefutureWANwilltypicallyhavealargebandwidthatanorderofgigabitpersecond,withalatencyofseveralhundredssecondssothatthelargebandwidth-delayprodeuctextendstotensofmegabytesandnumerousproblemsareencountered.suchnetworksarecalled"longfatnetworks(LFNs)"Inordertostudythedatatransferoperatingonalongfatnetwork,wehavebuiltthePCclustersconnectedwiththerouterwhichcansimulatebandwidthlimitations.delays,packetlosses,andmultipatheffects.thisrouterisrunningonFreeBSDwithDUMMYNETkerneloption.Onthesemachineswehavemeasuredtheperformanceofthebulkdatatransfterwithnumerousconditionsandstudiedtheeffecienttransftermethods.

简介：Inthispaper,twofinitedifferenceschemesarepresentedforinitial-boundaryvalueproblemsofRegularizedLong-Wave(RLW)equation.Theyallhavetheadvantagesthattherearediscreteenergieswhichareconserved.ConvergenceandstabilityofdifferencesolutionswithorderO(h2+τ2)areprovedintheenergynorm.Numericalexperimentresultsdemonstratetheeffectivenessoftheproposedschemes.

简介：Bisphenolscontaininglongaliphatichydrocarbonsidechainsweresynthesizedbythecondensationofphenolwithaldehydeorketoneinthepresenceofheteropolyacid.TheirstructureswerecharacterizedbyIR,1HNMR,13CNMRandelementanalysis.Theexperimentresultsshowthatwhenheteropolyacidwasusedasacatalyst,thesebisphenolswereobtainedinhighselectivityandhighyields.

简介：ThelongtermaccessibilityofitsdataisanimportantconcernoftheDELPHIcollaboration.Itisourassumptionthatthestorageofthedataitselfwillbeaminorissueduetotheprogressinstoragetechnologies.ThereforeDELPHIfocusesonareorganisationofthedata,whichshouldprovideaflexibleandcoherentframeworkforphysicsanalysisinthefuture.ThispaperdescribesthecurrentstatusoftheIDEA(ImprovedDElphiAnalysis)projectwhichwillensureusabilityofDELPHIdataforfuturegenerationsofphysicists.

简介：<正>Supposethat{αk}k∞=-∞isaLacunarysequenceofpositivenumberssatisfyinginfαk+1/αk=α>1andthatΩ（y’）isafunctionintheBesovspaceB10,1(Sn-1)whereSn-1istheunitsphereonRn（n≥2）.Weprovethatif∫Sn-1Ω（y’）dσ（y’）=0thenthediscretesingularintegraloperatorTΩf（x）=∫(Sn-1)f（x-αky’）Ω（y’）dσ（y’）andtheassociatedmaximaloperatorTΩf（x）=∫Sn-1f（x-αky’）Ω（y’）dσ（y’）arebothboundedinthespaceL2（Rn）.ThetheoremsinthispaperimprovearesultbyDuoandikoetxeaandRubiodeFranciaintheL2case.

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简介：Aso-called“localprobabilisticParisrelationmethod”waspresentedformeasuringtherandomthresholdsoflongfatiguecrackpropagation.Acheckwasmadetotheconventionalmethod,inwhichthethresholdsweremeasuredstatisticallyanddirectlybythetestdata.Itwasrevealedthatthismethodwasnotreasonablebecausethetestdatahaveseldomaunifiedlevelofcrackgrowthrates.Differently,inthepresentedmethodtheParis-Erdoganequationwasappliedtomodelthelocaltestdataaroundthethresholds.Localprobabilisticrelationswithboththesurvivalprobabilityandtheconfidencewereestablishedonalognormaldistributionofthestressdensityfactors.Andthen,theprobabilisticthresholdswerederivedfromtheprobabilisticfactorswithagivencriticallevelofgrowthrate.AnanalysisonthetestdataofLZ50axlesteelfortheChineserailwayvehiclesverifiesthatthepresentmethodisfeasibleandavailable.

简介：LetMfbetheKakeyamaximalfunctionind-dimensionalEuclideanspace,withsamebaseconsistingofcylindersofeccentricityN.Theinequalityshoumforabasesatisfyingadirectioncondition,where?andcareconstantsdependingonlyond.

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简介：Thispaperreportsthesynthesisofaseriesofpolysiloxanesbearinglongsidechainmeltedatlowtemperature.Thedrug(LNG)releasingpropertiesofthesiciconerubberfilmscontainingthesepolyorganosiloxaneswerestudied.Thereleaseratesofthedrugincreaseasthetemperatureriseupabovethemeltingtemperatureofthesepolyorganosiloxanes.

简介：Inthispaper,wefirstprovideageneralizeddifferencemethodforthe2-dimensionalNavier-Stokesequationsbycombingtheideasofstaggeredscheme[6]mandgeneralizedupwindscheme[4]inspace,andbybackwardEulertime-stepping.Thenweapplytheabstractframeworkof[7]toproveitslong-timeconvergence.Finally,anumericalexampleforsolvingdrivencavityflowsisgiven.

简介：Klein-Gordon-Schroedinger(KGS)equationsareveryimportantinphysics.Somepapersstudiedtheirwell-posednessandnumericalsolution[1-4],andanotherworksinvestigatedtheexistenceofglobalattractorinR^nandΩ包含于R^n(n≤3)[5-6,11-12].Inthispaper,wediscussthedynamicalbehaviorwhenweapplyspectralmethodtofindnumericalapproximationforperiodicinitialvalueproblemofKGSequations.ItincludestheexistenceofapproximateattractorAN,theuppersemi-continuityonAwhichisaglobalattractorofinitialproblemandtheupperboundsofHausdorffandfractaldimensionsforAandAN,etc.

简介：InthispaperweprovethatthesolutionofexplicitdifferenceschemeforaclassofsemilinearparabolicequationsconvergestothesolutionofdifferenceschemesforthecorrespondingnonlinearellipticequationsinH1normast→∞.Wegetthelongtimeasymptoticbehaviorofthediscretesolutionswhichisinterestedincomparingtothecaseofcontinuoussolutions.

简介：Withthehelpofanextendedmappingapproach,anewtypeofvariableseparationexcitationwiththreearbitraryfunctionsofthe(2+1)-dimensionaldispersivelong-waterwavesystem(DLW)isderived.Basedonthederivedvariableseparationexcitation,abundantnon-propagatingsolitonssuchasdromion,ring,peakon,andcompactonetc.arerevealedbyselectingappropriatefunctionsinthispaper.

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简介：Wereportonaone-stageerbium-dopedfibreamplifiedspontaneousemission(ASE)sourcewith80nmbandwidthand13.5dBmoutputpower.thebroadbandwidtherbiumASEsourcewasrealizedinanerbium-dopedfibrewith37mlengthbya1480nmlaserdiodeanda980nmlaserdiodeasforwardandbackwardpumpsources,respectively.Thetotalpumppowerisonly95.7mW.

简介：Thefollowinginitial-boundaryvalueproblemforthesystemswithmultidimensionalinhomogeneousgeneralizedBenjamin-Bona-Mahony(GBBM)equationsisreviewed.Theexistenceofglobalattractorsofthisproblemwasprovedbymeansofauniformprioriestimatefortime.

简介：Inliterature,nonlineartravelingwavesinelasticcircularrodshaveonlybeenstudiedbasedonsinglepartialdifferentialequation(pde)models,andhereweconsidersuchaproblembyusingamoreaccuratecoupled-pdemodel.WederivetheHamiltonianfromthemodelequationsforthelongfinite-amplitudewaveapproximation,analyzehowthenumberofsingularpointsofthesystemchangeswiththeparameters,andstudythefeaturesofthesesingularpointsqualitatively.Variousphysicallyacceptablenonlineartravelingwavesarealsodiscussed,andcorrespondingexamplesaregiven.Inparticular,wefindthatcertainwaves,whichcannotbecourltedbythesingle-equationmodel,canarise.