简介:LongtimebehaviorofdegenerateequationswiththenonlinearityofpolynomialgrowthofarbitraryorderonthewholespaceRNisconsidered.Byusing-trajectoriesmethods,weprovedthatweaksolutionsgeneratedbydegenerateequationspossessan(L2U(RN),L2loc(RN))-globalattractor.Moreover,theupperboundsoftheKolmogorovε-entropyforsuchglobalattractorarealsoobtained.
简介:Thispaperanalysesthefiveyears'monitoredstrainscollectedfromalong-termhealthmonitoringsysteminstalledonabridgewithwavelettransform.Intheanalysis,themonitoredstrainsarepre-processed,featuresofthemonitoreddataaresummarizedbriefly.Theinfluencesofthebasefunctionsontheresultsofwaveletanalysisarestudiedsimultaneously.Theresultsshowthatthedbwaveletisagoodmotherwaveletfunctionintheanalysis,andtheorderNshouldbelargerthan20,butlessthan46indeco...
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简介:Thecomplexityoftheloadsactingontheoffshorewindturbines(OWTs)structuresandthesignificanceofinvestigationonstructuredynamicsareexplained.Testresultsobtainedfromascaledwindturbinemodelarealsosummarized.Themodelissupportedonmonopile,subjectedtodifferenttypesofdynamicloadingusinganinnovativeoutofbalancemasssystemtoapplycyclic/dynamicloads.Thetestresultsshowthenaturalfrequencyofthewindturbinestructureincreaseswiththenumberofcycles,butwithareducedrateofincreasewiththeaccumulationofsoilstrainlevel.Thechangeisfoundtobedependentontheshearstrainlevelinthesoilnexttothepilewhichmatcheswiththeexpectationsfromtheelementtestsofthesoil.Thetestresultswereplottedinanon-dimensionalmannerinordertobescaledtopredicttheprototypeconsequencesusingelementtestsofasoilusingresonantcolumnapparatus.
简介:Theaimofthispaperistoprovethefollowingtheoremconcerningthetermbytermdifferentiationthe-oremofWalsh-Kaczmarzseries.Let(ck)beadecreasingrealsequencewithck=o(1/(logk)r)γ)forsomeγ>1.Theng(x)=∞∑k=1ckκk(x),f(x)=∞∑k=1ck/kkk(x)areintegrablefunctionsandf(x)isa.e.dyadic(orButzerandWagner)differentiablewithf[1](x)=g(x)fora.e.x∈[0,1).ThefunctionκkmeansthekthWalsh-Kaczmarzfunction.
简介:Thenecessitytodistributethedataoverthewideareanetwork(WAN)tothephysicists'homeinstituteswillincrease,andtheeffectiveutilizationofthenetworkbecomescrucial,However,networksinthefutureWANwilltypicallyhavealargebandwidthatanorderofgigabitpersecond,withalatencyofseveralhundredssecondssothatthelargebandwidth-delayprodeuctextendstotensofmegabytesandnumerousproblemsareencountered.suchnetworksarecalled"longfatnetworks(LFNs)"Inordertostudythedatatransferoperatingonalongfatnetwork,wehavebuiltthePCclustersconnectedwiththerouterwhichcansimulatebandwidthlimitations.delays,packetlosses,andmultipatheffects.thisrouterisrunningonFreeBSDwithDUMMYNETkerneloption.Onthesemachineswehavemeasuredtheperformanceofthebulkdatatransfterwithnumerousconditionsandstudiedtheeffecienttransftermethods.
简介:Inthispaper,westudytheasymptoticCUSUMtestsfordetectingchangesinthemeanorvarianceofamoving-averageprocesswithlongmemory.Whenthereisnochangeover[O,T],theasymptoticdistributionoftheteststatisticisderived,whichallowsustofindasymptoticcriticalvalues.Whenthereisachange,thebehavioroftheteststatisticisdiscussed.Conditionsfortheconsistencyofthesetestsarealsodiscussed.Basedontheasymptoticresults,simulationstudiesoftestingforchangesinthemeanshowthattheCUSUMtestproposedperformswell.
简介:Inthispaper,twofinitedifferenceschemesarepresentedforinitial-boundaryvalueproblemsofRegularizedLong-Wave(RLW)equation.Theyallhavetheadvantagesthattherearediscreteenergieswhichareconserved.ConvergenceandstabilityofdifferencesolutionswithorderO(h2+τ2)areprovedintheenergynorm.Numericalexperimentresultsdemonstratetheeffectivenessoftheproposedschemes.
简介:Bisphenolscontaininglongaliphatichydrocarbonsidechainsweresynthesizedbythecondensationofphenolwithaldehydeorketoneinthepresenceofheteropolyacid.TheirstructureswerecharacterizedbyIR,1HNMR,13CNMRandelementanalysis.Theexperimentresultsshowthatwhenheteropolyacidwasusedasacatalyst,thesebisphenolswereobtainedinhighselectivityandhighyields.
简介:Inthispaper,thenormalformanalysisofquadratic-cubicSwift-Hohenbergequationwithadissipativetermisinvestigatedbyusingthemultiple-scalemethod.Inaddition,weobtainHamiltonian-Hopfbifurcationsoftwoequilibriaandhomoclinicsnakingbifurcationsofone-peakandtwo-peakhomoclinicsolutionsbynumericalsimulations.
简介:Thispaperinvestigatesaclassofevenorderfunctionaldifferentialequationswithdampedterm,andderivestwonewoscillatorycriteriaofsolution.
简介:ByRiccatitransformation,weestablishsomenewoscillationcriteriaforaclassofevenorderdelaydifferentialequationswithnonlinearterm.Insomesense,theresultsobtainedextendsomeknownresultsintheliterature.
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.
简介:Thispaperpresentsameshlessmethodforthenonlineargeneralizedregularizedlongwave(GRLW)equationbasedonthemovingleast-squaresapproximation.ThenonlineardiscreteschemeoftheGRLWequationisobtainedandissolvedusingtheiterationmethod.Atheoremontheconvergenceoftheiterativeprocessispresentedandprovedusingtheoremsoftheinfinitynorm.Comparedwithnumericalmethodsbasedonmesh,themeshlessmethodfortheGRLWequationonlyrequiresthescatterednodesinsteadofmeshingthedomainoftheproblem.Someexamples,suchasthepropagationofsinglesolitonandtheinteractionoftwosolitarywaves,aregiventoshowtheeffectivenessofthemeshlessmethod.
简介:Longpilesoftheoceanoilplatformareusuallymanufacturedastheintegrationofseveralsegments,whichhavetobeassembledonebyoneduringinstallation.Duringpiledriving,excessiveporepressurewillbuildupinsuchahighlevelthathydraulicfracturinginthesoilroundthepilemaytakeplace,whichwillcausethesoiltoconsolidatemuchfasterduringpileextensionperiod.Consequently,afterpileextension,thesoilstrengthwillrecovertosomeextentandthedrivingresistancewillincreaseconsiderably,whichmakesrestartingdrivingthepileverydifficultandevencausesrefusal.Afiniteelement(FE)analysisprocedureispresentedforjudgingtheriskofrefusalbyestimatingtheblowcountsafterpileextension,inwhichtheregainofsoilstrengthisconsidered.AcaseanalysisinBohaiGulfisperformedusingtheproposedproceduretoexplainthepilerefusalphenomenon.