简介:ConsiderabackwardheatequationinaboundeddomainΩR2withthenoisydataintheinitialtimegeometry.Theaimistofindthetemperaturefor0<ε<t<T.Forthisill-posedproblem,theauthorsgiveacontinuousdependenceestimateofthesolution.Moreover,theconvergencerateoftheapproximatesolutionisalsogiven.
简介:Inthispaper,thebackwardproblemoraparabolicequationisconsidered.Threenewstabilityestimatesaregiven.Basedonthenewstabilityestimates,aregularizationmethodisproposedforwhicherrorestimatesareavailable.Theregularizationmethodcanbeusedforthenumericalapproximationsoftheoriginalproblemwhichwillbeshownbythenumericalexamples.
简介:Inthispaper,weprovetheexistenceanduniquenessforBackwardStochasticDifferentialEquationswithstoppingtimeastimehorizonunderthehypothesisthatthegeneratorisbounded.Wefirstproveforthestoppingtimewithfinitevaluesandforthegeneralstoppingtimeweprovetheresulttakinglimit.Wesuggestanewapproachtogeneralizetheresultsforthecaseofconstanttimehorizontothecaseofstoppingtimehorizon.
简介:在最近的过去,试验性的研究证明了片的一些优点在轴的压缩机倾斜并且扫。当大多数试验性的结果与另外的特征被相结合,在压缩机的性能上决定单个参数的效果是困难的。现在的数字研究针对在出口理解表演和三维的流动模式扫并且未扫过的转子。三个转子也就是;未扫过,200向前扫了,200个向后打扫的转子与理解片边界层流动的模式的一个特定的意愿被分析。分析被做用一充分三维粘滞CFD代码CFX-5。结果在压力上升显示了减小与扫。向后扫根据endwalls附近的表演被考虑,是有害的。在在中间的跨度区域的wake的在另一方面全部的压力损失是更少与向后扫,它这里赞成它的应用程序。然而,向后不利地扫影响货摊边缘。能力向前扫偏斜向中心的streamlines变得以低流动率减少了。向前打扫变化吸表面优化的以如此的一个方法的streamline模式向中心被偏斜,压力表面优化向casing被偏斜。相反的行为在向后打扫的转子被观察。
简介:委婉语常用来间接表达令人敏感的事物以达到美化事实的效果,被广泛用于社会生活的各个领域。学校也不例外。按照学习的好坏,学生大体可分为三类:好学生(topstudent),一般的学生(averagestudent)和差生(backwardstudent)。由于“差生”在学习上落后于他人,直接表述(Callingaspadeaspade)有伤其体面和自尊,因此,一些委婉表达方法便应运而生。
简介:Considera1-DbackwardheatconductionproblemwithRobinboundarycondition.Werecoveru(x,0)andu(x,to)forto∈(0,T)fromthemeasureddatau(x,T)respectively.ThefirstproblemissolvedbytheMorozovdiscrepancyprincipleforwhicha3-orderiterationprocedureisappliedtodeterminetheregularizingparameter.Forthesecondone,wecombinetheconditionalstabilitywiththeTikhonovregularizationtogethertoconstructtheregularizingsolutionforwhichtheconvergencerateisalsoestablished.Numericalresultsaregiventoshowthevalidityofourinversionmethod
简介:Amethodofdetectingdry,icyandwetroadsurfaceconditionsbasedonscanningdetectionofsinglewavelengthbackwardpowerisproposedinthisletter.Thedetectorisusedtoreceivethebackwardscatteredpowerwhichchangeswiththeincidenceangle.Therelationshipbetweenbackwardpowerandincidenceangleisusedtofindouttheeffectiveanglerangeanddistinguishmethod.Experimentandsimulationshowthatitisfeasibletoclassifythesethreeconditionswithinincidenceangleof5.3degree.
简介:Inthelightoftheproblemofoilpollutionbroughtaboutbyships,inthispaperwepresenttheconceptofbackwardtracingoilspills.Inthecourseofbackwardcalculationofthetwo-dimensionalconvection&diffusionequation,ontheonehand,theadvectiontermitselfhasthestrongunilateralproperty,whichmeansinformationintheupperreachesistransmitteddownstreamviatheadvectionterm;ontheotherhand,becauseoftheoppositedirectionofcalculation,itisessentialforinformationtobeconveyedupstreambymeansoftheadvectionterm.Inaddition,unlikethatintheforwardcalculation,thediffusionterminthebackwardcalculationispronetoaccumulateerrors,andthusrendersthewholeschemeunstable.Therefore,weadoptthecentraldifferencetodealwithboththeconvectionaltermandthediffusionterm.Byexaminingtwopracticalexamples(1)undertheunlimitedboundarycondition,and(2)underthelimitedboundarycondition,itisproventhatthismethodcouldachievefundamentallysatisfactoryresultsnotonlyintheopenoceanbutalsointheclosedorsemi-closedbay.
简介:Theflowstructuresinaseparatedshearlayeractuatedbyasyntheticjetactuatorwerestudiedusingexperimentalmethods.Whenforcedatafrequencymuchlowerthanthenaturalsheddingfrequency(fH/U=0.042orfX_r/U=0.24),theverticalflappingmotionoftheshearlayerdownstreamoftheseparationpointbecameprominent.Thesizeofthepeakinthepressurespectraattheforcingfrequency(St_A=f_AH/U)measuredneartheseparationpoint(x/H=1)increasedlinearlywiththeforcingamplitude(u′/U)suggestingalinearresponseofthepressurefluctuationstotheforcingbythesyntheticjet.ThelinearresponsedidnotholdforthepressurefluctuationsawayfromthejetexitasthemagnitudeofthepeakforSt_Ameasuredatx/H=3soonsaturatedwhentheforcingamplitudebecamelargerthan0.3.
简介:AnoptimalcontrolproblemforacontrolledbackwardstochasticpartialdifferentialequationintheabstractevolutionformwithaBolzatypeperformancefunctionalisconsidered.Thecontroldomainisnotassumedtobeconvex,andallcoefficientsofthesystemareallowedtoberandom.Avariationalformulaforthefunctionalinagivencontrolprocessdirectionisderived,bytheHamiltonianandassociatedadjointsystem.Asanapplication,aglobalstochasticmaximumprincipleofPontrayginstypefortheoptimalcontrolsisestablished.