简介：Themultipolemomentmethodnotonlyconducestotheunderstandingofthedeformationofthespace-time,butalsoservesasaneffectivetooltoapproximatelysolvetheEinsteinfieldequationwith.However,theusualmultipolemomentsarerecursivelydeterminedbyasequenceofsymmetricandtrace-freetensors,whichisinconvenientforpracticalresolution.Inthispaper,wedevelopasimplifiedproceduretogeneratetheseriessolutionstothemetricofthestationaryvacuumwithaxisymmetry,andshowitsvalidity.Inordertounderstandthefreeparametersinthesolution,weproposetotaketheSchwarzschildmetricasastandardruler,andsomewell-knownexamplesareanalysedandcomparedwiththeseriessolutionsindetail.

简介：TheresultsofBryeonlargedeviationsforempiricalmeasuresofstationaryφ-mixingsequencesareextended.Bryestateshisresultsintheusualweaktopologyonthespaceofprobabilitymeasures.Inthispaper,undersomewhatweakerassumptionsthanthoseofBryc,theauthorextendsBrye'sresultsbytakingthefinertopologywhichisgeneratedbytheintegralsoverboundedmeasurablefunctions.

简介：Aclassofstationarymodelsofsingularstochasticcontrolhasbeenstudied,inwhichthestateisextendedtosolutionofaclassofS.D.E.fromWienerprocess.Theexistenceofoptimalcontrolhasbeenprovedinallcasesundersomeweakerconditions,andthestructureofoptimalcontrolmaybecharacterized.

简介：ＩＮＴＥＲＨＥＭＩＳＰＨＥＲＩＣＥＦＦＥＣＴＯＦＤＩＡＢＡＴＩＣＡＬＬＹＩＮＤＵＣＥＤＬＩＮＥＡＲＳＴＡＴＩＯＮＡＲＹＷＡＶＥＳ￥ＰｅｎｇＴａｏｙｏｎｇ彭涛涌（ＧｕａｎｇｚｈｏｕｉｎｓｔｉｔｕｔｅｏｆＴｒｏｐｉｃａｌａｎｄＯｃｅａｎｉｃＭｅｔｅｏｒｏ...

简介：Thispaperconsidersthequasi-stationaryStefanproblem:△u(x,t)=0inspace-timedomain,u=0andVv+δu/δv=0onthefreeboundary.underthenaturalconditionstheexistenceofclassicalsolutionlocallyintimeisprovedbymakinguseofthepropertyofFrechetderivativeoperatorandfixedpointtheorem.Forthesakeofsimplicityonlytheone-phaseproblemisdealtwith.Infacttwo-phaseproblemcanbedealtwithinasimilarwaywithmorecomplicatedcalculation.

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简介：TheseparationofxyleneisomersusingGCisamuchdifficulttaskforalongtime,ontheotherhandtheyareveryimpoFtantindustrialmaterials,sofindingagoodstationaryphasehasbeenaninterestingwork.Anexcellentseparationofxyleneisomerswasobtainedbyusing2,6-di-O-pentyl-3-O...

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简介：InordertoobtaincreditabledataanapplicablemethodtooptimizeparametersoftheLangmuirprobesandcircuitsinastationarylaboratorydeviceisinvestigatedandanexperimentalcriterionoftheprobedimensionisdeveloped.ToobtaintheelectrontemperatureanddensitytheElectronEnergyDistributionFunction(EEDF)approachwithlesscomputingtimeandmoreaccurateresultsisapplied,insteadoftheconventionalslopeapproach.Moreovertheinfluenceofthevesselwallmaterialsontheplasmadensityisdiscussedbriefly,indicatingthatthedielectricwallishelpfultoenhancingtheelectrondensity.

简介：Inthispaper,theuniquenessofstationarysolutionswithvacuumofEulerPoissonequationsisconsidered.Throughanonlineartransformationwhichisafunctionofdensityandentropy,thecorrespondingproblemcanbereducedtoasemilinearellipticequationwithanonlinearsourcetermconsistingofapowerfunction,forwhichtheclassicaltheory[4]'[9]oftheellipticequationsleadstheauthorstotheuniquenessresultundersomeassumptionsontheentropyfunctionS(x).Asanexample,theauthorsgettheuniquenessofstationarysolutionswithvacuumofEuler-PoissonequationsforS(x)=|x|θandθ∈{0}∪[2(N-2),+∞).

简介：Thispaperdealwithoptimalcontrolproblemsforanon-stationaryStokessystem.Westudyasimultaneousdistributed-boundaryoptimalcontrolproblemwithdistributedobservation.Weprovetheexistenceanduniquenessofasimultaneousoptimalcontrolandwegivethefirstorderoptimalityconditionforthisproblem.Wealsoconsideradistributedoptimalcontrolproblemandaboundaryoptimalcontrolproblemandweobtainestimationsbetweenthesimultaneousoptimalcontrolandtheoptimalcontrolsoftheselastones.Finally,someregularityresultsarepresented.

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简介：Let{Xn:n∈N^2}beatwodimensionallyindexedlinearstationaryrandomfieldgeneratedbya1/4martingaledifferencewhitenoise.Thelogarithmuniformcauvergencyresultefortheweightedperiodogramof{XK;1≤k≤n}isproved.

简介：Inthispaper,weconsiderthestationaryprobabilityandfirst-passagetimeofbiasedrandomwalkon1Dchain,whereateachstepthewalkermovestotheleftandrightwithprobabilitiespandqrespectively(0p,q1,p+q=1).Wederiveexactanalyticalresultsforthestationaryprobabilityandfirst-passagetimeasafunctionofpandqforthefirsttime.Ourresultssuggestthatthefirst-passagetimeshowsadoublepower-lawF~(N-1)~γ,wheretheexponentγ=2forN<|p-q|~(-1)andγ=1forN>|p-q|~(-1).Ourstudyshedsusefulinsightsintothebiasedrandom-walkprocess.

简介：AmechanicalmodelisestablishedformodeⅡinterfacialcrackstaticgrowingalonganelastic-elasticpowerlawcreepingbimaterialinterface.Forfrictionalcontactofboundaryconditionsoncrackfaces,asymptoticsolutionsofthestressesandstrainsofneartip-crackaregot.Itwasshownthatinstablecreepgrowingphase,elasticdeformationandviscousdeformationareequallydominantinthenear-tipfield,thestressandstrainhavethesamesingularityandthereisnottheoscillatorysingularitythefield.Throughnumericalcalculation,itisshownthatthefrictionalcoefficientηnotablyinfluencethecrack-tipfield.

简介：Time-meanglobalgeneralcirculationdataareemployedtoanalyzethetemporalandspatialvariationsofthemeridionalgradientofzonalmeanpotentialvorticity,thecriticalwavenumbern_sforhorizontalwave-propagation,andthecriticalwavenumberK_cforverticalwave-propagation.Therebythekinematiccharac-teristicsinthepropagationofatmosphericstationarywavesandtheirannualvariationsarestudied.Resultsshowthatinthetropospheren_sandK_cusuallydecreasewiththeincreaseofeitherlatitudeoraltitude.Synopticandnear-resonantRossbywavescouldbetrappedduringtheirupwardandmeridionalpropagations.Thesecharacteristicspossessprominentannualvariations,especiallyintheNorthernHemisphere.Itisfoundthatthespatialandtemporalvariationsofthesekinematiccharacteristicsareingoodagreementwiththoseoftheatmosphericwavepatterns.

简介：ＮＥＷＲＥＳＵＬＴＳＯＮＴＨＥＥＸＰＯＮＥＮＴＩＡＬＳＴＡＢＩＬＩＴＹＯＦＮＯＮ－ＳＴＡＴＩＯＮＡＲＹＰＯＰＵＬＡＴＩＯＮＤＹＮＡＭＩＣＳ￥（郭宝珠，姚翠珍）ＧｕｏＢａｏｚｈｕ（ＤｅｐａｒｔｍｅｎｔｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，Ｂｅｉｊｉ...

简介：Basedontheanalysisoftropicalcyclone(TC)databaseintheNorthwestPacific(NWP)from1945to2008,wenotonlyextractthetemporalvariationofTCintensityandfrequency,butalsogivetheirspatialdistributionbothintheNWPandintheSouthChinaSea(SCS).TheresultsshowthatthereisanobservationalincreaseofTCactivities,whichmanifestsastheenhancementofthepowerdissipationindex(PDI)andthegrowthofTCfrequency,especiallyfortyphoonsandstrongtyphoons.TheinhomogeneousspatialdistributionsofTCfrequencyandintensityarealsoprovidedbothintheNWPandintheSCS.Forexample,theregionofZhongshaIslandsandDongshaIslandsintheSCS(15°～22°N,115°～120°E),westtothePhilippineIslandsistheplacewithfrequentoccurrenceofstrongtyphoons,amongwhichthewindspeedof7TCsin64yearsexceeds60m/s.

简介：P.M.Djuric,etc.(1992)researchedonthesegmentationofnonstationarystochasticprocessintopiecewisestationarystochasticprocessbyBayesiancriterion,andgaveadynamicequationaboutthenumberofsegments,theirboundariesandARmodelordersforeachsegment,butdidnotgivedetailedsolutionfortheequation.Becausethesolutionfortheequationisverycomplex,thispaperinvestigatesthesolution,derivessomerecursiverelations,simplifiestheproblem,savescomputationtimeandgoesfurtherintothesegmentationofnonstationarystochasticprocessintopiecewisestationarystochasticprocess.

简介：Graphene氧化物(去)由于它的唯一的性质和潜在的应用吸引了广泛的注意。这里，我们报导调查去是的nanosheets为毛状的气体的一个静止阶段色析法(GC)分离。GO列，由一条新一步舞涂层途径制作了，308的显示出的平均McReynolds常数，建议GC静止阶段的中等极的性质。GO静止阶段与好山峰形状为不同类型的analytes完成好分离，特别为结合Hanalytes，例如白酒和胺。不同保留行为变静止从常规静止阶段的阶段可以从它和analytes的多重相互作用发源，包含结合H，dipole–dipole，–叠并且散相互作用。而且，去列与相对标准差(RSD%)显示出好分离重制度不到0.24%(n ；= ；5)在analytes的保留时间。