简介:<正>Inthispaperwestudymultilinearoscillatorysingularintegralswithroughkernelandgiveacriterionofcertainboundednessforthiskindofoperator
简介:ThevalidityofNavier'spartialslipconditionisinvestigatedbystudyingtheoscillatoryflowinacoatedchannel.Thetwo-fluidmodelisusedtosolvetheunsteadyviscousequationsexactly.Partialslipisexperiencedbythecorefluid.ItisfoundthatNaviersconditiondoesnotholdforanunsteadycorefluid.
简介:TheauthorsconsiderthemultilinearoscillatorysingularintegraloperatordefinedbyTA1,A2,…,Akf(x)=∫R^ne^ip(x,v)k/∏/j=1Rmi(Ajix,y)(Ω(x-y))/(│x-y│^n+M)f(y)dy,whereP(x,y)isareal-valuedpolynomialonR^n×R^n,Ωishomogeneousofdegreezero,Rmj(Aj;x,y)denotesthemj-thorderTaylorseriesremainderofAjatxexpandedabouty,M=k/∑j=1mj,ItisshownthatifΩbelongstothespaceLlog^+L(S^n-1)andhasvanishingmomentuptoorderM,then‖TA1,A2,…,Akf‖q≤ck/∏/j=1(∏/│α│=mj‖D^αAj‖rj)‖f‖p,providedthat1
简介:在一个thermoacoustic声波发电机的摆动的流动被描述。thermoacoustic声波发电机在thermoacoustic设备起一个重要作用。在工作液体的工作液体和栈,加速和减速之间的热交换并且粘滞在栈并且在回声试管影响的磨擦损失thermoacoustic声波生成器的性能。特别地,摆动的流动显著地影响在工作液体和栈之间的热交换机制。在压力和速度的时间的变化是在回声试管内的正弦曲线。流动就在试管插头后面形成一口摆动的喷气,并且在回声试管外面下游地远变得断断续续。0.63R的无限制的修正,也就是说尽管有在试管插头外面,被速度大小证实并且流动,摆动的流动特征下游地被维持的区域可视化。另外,他们几乎等于听觉的理论结果。关键词thermoacoustic现象-声波生成器-摆动的流动CLC数字TK11.4
简介:Anewelectrochemicaloscillatorysystemofbromateinalkalinesolutionisreported.InPt-Bromate-Alkalinesolutionsystem,twodifferenttypesofelectrochemicaloscillations(TypeⅠandTypeⅡ)canbeobserved.TypeⅠappearsbeforehydrogenevolutionandTypeⅡinvolvesperiodichydrogenevolution.TypeⅠrelatestotheadsorption/desorptionofthehydrogenonplatinumelectrode,andTypeⅡwithperiodicoscillationstemsfromthecouplingofelectrochemicalreactions(thereductionofbromateandevolutionhydrogenreaction)withmasstransfer(diffusionandconvection).Moreover,undertherightconditions,thetwotypesappearindifferentoscillatorymodes,forexample,simpleperiodicalmodeandmixedone,etc..Crossedcycleinthecyclicvoltammograms,whichisthebasiccharacteristicsforelectrochemicaloscillatorysystems,hasalsobeenobservedasexpected.
简介:Inthispaper,byusingtheatomicdecompositionoftheweightedweakHardyspaceWH1w(Rn),theauthorsdiscussaclassofmultilinearoscillatorysingularintegralsandobtaintheirboundednessfromtheweightedweakHardyspaceWH1w(Rn)totheweightedweakLebesguespaceWL1w(Rn)forw∈A1(Rn).
简介:-ThehydrodynamicforcesonasmoothinclinedcircularcylinderexposedtooscillatingflowwereexperimentallyinvestigatedatReynoldsnumber(Re)intherange40000-200000andKeulegan-Capenternumber(KC)intheintervalfrom5-40.Inthetest,RenumberandKCnumberwerevariedsystematically.Theinertiaforcecoefficient(Cu)andthedragforcecoefficient(CD)inMorisonequationweredeterminedfromthemeasuredloadsandthewaterparticlekinematics.InthisanalysisamodifiedformofMorisonequationwasusedsinceitusesthenormalvelocityandacceleration.Thus,theapplicabilityoftheCrossFlowPrinciplewasassumed.Thisprinciple,simplystated,isasfollows:theforceactinginthedirectionnormaltotheaxisofacylinderplacedatsomeobliqueanglewiththedirectionofflowisexpressedintermsofthenormalcomponentofflowonly,andtheaxialcomponentisdisregarded.Boththetotalin-lineforcecoefficient(CF)andtransverseforce(lift)coefficient(Cf)wereanalyzed
简介:在在形式e~(i|x|~a)的摆动的单个不可分的操作员T的Triebel-Lizorkin空格的围住的海角Ω(x)|x|~(-n)被学习∈R,≠0,1并且Ω∈L~1(S~(n-1))度零是同类的并且满足某些取消条件。什么时候内核Ω(x′)∈Llog~+L(S~(n-1)),F_p~(一,q)(R~n)围住上述操作符的海角被获得。同时,什么时候Ω(x)满足L~1-Dini状况,上述操作符T被围住onF_1~(0,1)(R~n)。
简介:HereweconsiderthefollowingstronglysingularintegralT_(?,γ,α,β)f(x,t)=∫_(R~n)e~[i|y|~(-β)]?(y/|y|)/|y|~(n+α)f(x-y,t-γ(|y|))dy,where?∈L~p(S~(n-1)),p>1,n>1,α>0andγisconvexon(0,∞).WeprovethatthereexistsA(p,n)>0suchthatifβ>A(p,n)(1+α),thenT_(?,γ,α,β)isboundedfromL~2(R~(n+1))toitselfandtheconstantisindependentofγ.Furthermore,when?∈C~∞(S~(n-1)),wewillshowthatT?,γ,α,βisboundedfromL~2(R~(n+1))toitselfonlyifβ>2αandtheconstantisindependentofγ.
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简介:Oscillatoryturbulentflowoveraflatplateisstudiedusinglargeeddysimulation(LES)andReynolds-averageNavier-Stokes(RANS)methods.Adynamicsubgrid-scalemodelisemployedinLESandSaffman’sturbulencemodelisusedinRANS.Theflowbehaviorsarediscussedfortheacceleratinganddeceleratingphasesduringtheoscillatingcycle.ThefrictionforceonthewallanditsphaseshiftfromlaminartoturbulentregimearealsoinvestigatedfordifferentReynoldsnumbers.
简介:InthispaperwegiveLp-boundednessfortheoperatorTudefinedbywhereP(x,y)isarealnontrivialpolynomialonRn×Rn,Ωishomogeneousofdegreezero,Ω∈Lq(Sn-1),q>1/(1-μ)andb(r)∈BV(R+),TheresultcanberegardedasanimprovementofF.RicciandE.M.Stein’sresultforfractionaloscillatoryintegraloperatorwithsmoothnesskernel.
简介:Thetheta(t)-typeoscillatorysingularintegraloperatorshasbeendiscussed.Withthenon-negativelocallyintegrableweightedfunction,theweightednorminequalityoftheta(t)-typeoscillatorysingularintegraloperatorsisproved,andtheweightedfunctionhasreplacedbyactionofHardy-Littlewoodmaximaloperatorsseveraltimes.
简介:Anumericalmodelfortheself-burialofapipelinetrenchisdeveloped.Morphologicalevolutionsofapipelinetrenchundersteady-currentoroscillatory-flowconditionsaresimulatedwith/withoutapipelineinsidethetrench.Theoscillatoryflowinthisstudyrepresentstheactionofwaves.Thetwo-dimensionalReynolds-averagedcontinuityandNavier-Stokesequationswiththestandardk-εturbulenceclosure,aswellasthesedimenttransportequations,aresolvedwiththefinitedifferencemethodinacurvilinearcoordinatesystem.Bothbedandsuspendedloadsofsedimenttransportareincludedinthemorphologicalmodel.Becauseofthelackofexperimentaldataonthebackfillingofpipelinetrenches,thenumericalmodelisfiretlyverifiedagainstthreeclosely-relevantexperimentsavailableinliterature.Adetailedmeasurementofthechannelmigrationphenomenonundersteadycurrentsisemployedfortheassessmentoftheintegralperformanceofthemodel.ThetwoexperimentalresultsfromU-tubetestsareusedtovalidatethemodel'sabilityinpredictingoscillatoryflows.Differenttime-marchingschemesareemployedforthemorphologicalcomputationunderunidirectionalandoscillatoryconditions.Itisfoundthatvortexmotionswithinthetrenchplayanimportantroleinthetrenchdevelopment.