简介：一在标志空间的众所周知的混乱印射是印射的移动。然而，在标志空间的另外的混乱mappings也存在。基本变化是同等地在是的一套时间考虑这个过程不仅spaced，在分开统一时间说(印射的移动)，但是在不是的一套时间同等地spaced，如果联合起来的时间不能被确定，说。增加作为印射的移动和k-switchmapping的归纳印射被介绍。增加和k开关mappings是混乱的。

简介：Thispaperreviewssomeoftheprincipaluses,overalmostsevendecades,ofcorrelations,inbothEulerianandLagrangianframesofreference,ofpropertiesofturbulentflowsatvariablespatiallocationsandvariabletimeinstants.Commonlycalledspace–timecorrelations,theyhavebeenfundamentaltotheoriesandmodelsofturbulenceaswellasfortheanalysesofexperimentalanddirectnumericalsimulationturbulencedata.

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简介：SomenewweakKnaster-Kuratouski-Mazurkiewicz(KKM)theoremsareprovedunderthenoncompactsituationinthegeneralizedfinitelycontinuousspace(GFCspace)withoutanyconvexity.Asapplications,theminimaxinequalitiesoftheKyFantypearealsogivenundersomesuitableconditions.Theresultsunifyandgeneralizesomeknownresultsinrecentliteratures.

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简介：Inthispaper,theparametricequationswithmultipliersofnonholonomicnonconservativesys-temsintheeventspaceareestablished,theirpropertiesarestudied,andtheirexplicitformulationisobtained.Andthenthefieldmethodforintegratingtheseequationsisgiven.Finally,anexampleillustratingtheappli-cationoftheintegrationmethodisgiven.

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简介：Theinteractionsofasphericalflamewithanin-cidentshockwaveanditsreflectedshockwaveinaconfinedspacewereinvestigatedusingthethree-dimensionalreactiveNavier-Stokesequations,withemphasisplacedontheeffectofchemicalreactivityofmixtureontheflamedistortionanddetonationinitiationafterthepassageofthereflectedshockwave.Itisshownthatthespatio-temporalcharacteristicsofdetonationinitiationdependhighlyonthechemicalreactivityofthemixture.Whenthechemicalreactivityenhances,theflamecanbeseverelydistortedtoformareactiveshockbifurcationstructurewithdetonationsinitiatingatdifferentthree-dimensionalspatiallocations.Moreover,thedetonationinitiationwouldoccurearlierinamixtureofmoreenhancedreactivity.Theresultsrevealthatthedetonationsarisefromhotspotsintheunburnedregionwhichareinitiatedbytheshock-detonation-transitionmechanism.

简介：Surfaceeffect,whichisattributedtothedifferentenvironmentsurroundingthesurfaceornear-surfaceatomsfromthatembracingthebulkatoms,maybecomesignificantwhenthesurface-to-volumeratioofabodyislarge.Thispaperconsiderstheeffectofaplaneboundaryofapiezoelectricbodymodeledasathinlayerwithspecifiedmaterialproperties,forwhichatransferrelationbetweenthestatevectorsatthetopandbottomsurfacesisderivedbasedonthestate-spaceformulations.Theequationsofsurf...

简介：Thispaperproceedsfromthegeneralcaseoftheunsymmetriclinearizedmulti-degreesoffree-dom(MDOF)systems.Byadoptingthegeneralcomplexmodaltheoryofthestatespace,theresponseanalysisforasys-temsubjectedtorandomexcitationofthesamesourceiscarriedoutusingasakindofdirectspectrumanalysismethodinfrequencydomain.Withtheinputofpowerspectraldensityfunctiongiven,theexplicitexpressionofthepowerspectraldensityfunctionmatrixoftheoutputresponsecanbeobtained.BytakingFourierinversetransform,theintegratedexpres-sionsofthecorrelationfunctionmatrixandofthespectrummomentmatrixareobtained.Comparingwiththetimedomainmethod,thismethodenjoysthemeritofvisualizationandavoidstheprocedureoftransformationfromtheobtainedre-sponsecorrelationfunctiontobesolvedfortheoutputspectrumutilizingFouriertransform.Thispaperhasextendedtheapplicationrangeofthetraditionalfrequencydomainanalysismethod.Themeansquarevaluesandvarietyofstatisticalval-uescanbeobtainedconveniently.Thismethodandthetimedomainmethodaredifferentinapproachbutequallysatisfac-toryintheirresults.

简介：Theinverseheatconductionproblem(IHCP)isaseverelyill-posedprobleminthesensethatthesolution(ifitexists)doesnotdependcontinuouslyonthedata.Butnowtheresultsoninverseheatconductionproblemaremainlydevotedtothestandardinverseheatconductionproblem.SomeoptimalerrorboundsinaSobolevspaceofregularizedapproximationsolutionsforasidewaysparabolicequation,i.e.,anon-standardinverseheatconductionproblemwithconvectiontermwhichappearsinsomeappliedsubjectaregiven.

简介：Themechanicalbackgroundofthebivariatesplinespaceofdegree2andsmoothness1onrectangularpartitionispresentedconstructively.Makinguseofmechan-icalanalysismethod,byactingcouplesalongtheinterioredgeswithsuitableevaluations,thedeflectionsurfaceisdividedintopiecewiseform,therefore,therelationbetweenaclassofbivariatesplinesonrectangularpartitionandthepurebendingofthinplateisestablished.Inaddition,theinterpretationofsmoothingcofactorandconformalitycon-ditionfromthemechanicalpointofviewisgiven.Furthermore,byintroducingtwistingmoments,themechanicalbackgroundofanysplinebelongtotheabovespaceissetup.

简介：Exactsolutionsinformofelementaryfunctionswerederivedforthestressandelectricdisplacementintensityfactorsofacircularcrackinatransverselyisotropicpiezoelectricspaceinteractingwithvariousstressandchargesources:forcedipoles,electricdipoles,moments,forcedilatationandrotation.Thecircularcrackincludespenny-shapedcrackandexternalcircularcrackandthelocationsandorientationsoftheseresultantsourceswithrespecttothecrackarearbitrary.Suchstressandchargesourcesmaymodeldefectslikevacancies,foreignparticles,anddislocations.Numericalresultsarepresentedatlast.

简介：在这份报纸，由定义新州的向量并且开发搬到空间的各种各样的元素的新转移矩阵，multi-rigid-flexible-body系统的分离时间转移矩阵方法被扩展学习multibody系统的动力学，灵活横梁搬到空间。明确的表达和搬到空间的三个摆钟系统被给验证方法的rigid-flexible-body的数字例子。使用新方法学习multi-rigid-flexible-body系统搬到空间的动力学，系统的全球动力学方程不被需要，系统的深奥矩阵的订单是很低的，计算速度高，不管系统的尺寸。新方法简单，直接，实际，并且为multi-rigid-flexible-body系统动力学提供一个强大的工具。

简介：Toanalyzethedynamicmechanismofunusualactivitiesofthesubtropicalhigh,thespace-timevaribleseparationofthepartialdifferentialvortexequationsiscarriedoutwithGalerkinmethodsbasedontheheatforceandthewhirlmovementdissipationeffect.Aimingatthesubjectiveandman-madeconventionalmethodofchoiceinthespacebasisfunctions,weproposetocombinetheempiricalorthogonalfunction(EOF)analysiswiththegeneticalgorithmtoinversethespacebasisfunctionsfromtheactualsequenceoffields.Agroupoftrigonometricfunctionsarechosenasageneralizedspacebasisfunction.Withtheleast-squareserrorofthebasisfunctionandEOFtypicalfields,andwiththecompleteorthogonalityofbasisfunctions,wecangetthedual-boundfunction.Ageneticalgorithmisthenintroducedtocarryoutsurfacefittingandcoeffcientoptimizationofthebasisfunction.Asaresult,theobjectiveandreasonableconstantdifferentialequationofthesubtropicalhighisobtainedbyinversion.Finally,basedontheobtainednonlineardynamicsmodel,thedynamicbehaviorandmechanismofthesubtropicalhighisanalyzedanddiscussedundertheinfluenceofheatforce.Wefindthatsolarradiationandzonaldifferencesinlandandseaareimportantfactorsimpactingthepotentialfieldandflowfieldchangesofthesubtropicalareas.Thesefactorsleadtostrengthchangesofthesubtropicalhighandmedium-termadvance/retreatactivities.Theformerisagradualchange,whilethelattershowsmorebreakcharacteristics.Meaningfulresultsareobtainedintheanalysis.

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