简介：Startingfromnonlinearequationsonthef-planecontainingfrictionaldissipationundertheBoussinesqapproximation,anewkindofgeneralizedenergyisproposedastheLyapunovfunction,andaveragesaretakenasanyfunctionsof(x,z)insteadofthecommonly-usedmeansofbilinearfunctionsof(x,z),therebyresultinginanewcriterionofgeneralizednonlinearsymmetricstability.Itshowsthatnotonlymustthedissipativecoefficientbegreaterthanacertaincriticalvaluebuttheinitialdisturbanceamplitudemustbesynchronouslysmallerthananothermarginalvalueaswell.Itfollowsthatthelatterimposesacrucialconstraintontheformer,thusleadingtothefactthatwhentheamplitudeisbiggercomparedtoanothercriticalvalue,generalizednonlinearsubcriticalsymmetricalinstabilitymayoccur.Thenewcriterioncontributesgreatlytotheimprovementofthepreviousresultsofitskind.

简介：这研究介绍一个新方法识别敏感区域，它由为台风调用潮湿的潜在的涡度(MPV)的否定异例是坚定的适应观察。否定MPV的区域是对称的不稳定性区域并且能为台风作为敏感区域被拿，这被发现适应观察。在2008的三台风，Nuri，Fung-wong，和Fengshen，在MM5的帮助下被模仿模型。这些台风很好在开始的12个小时被模仿，这被显示出。把调查基于这些，MPV的计算顺序被执行。结果证明MPV的否定最大值总是绕为所有盒子的台风眼睛，它意味着敏感区域总是也在他们附近。

简介：Inthispaper,usingHolland’smethod,theeffectofthehorizontalstructureoftropicalcyclonesontheirmotionisinvestigated.The"characteristicradius",r0characterizedasthehorizontalstructureofatropicalcyclone,inwhichmandparetheparametersofthevortex,hasbeenfoundbytheauthor.Andthenithasbeenshownthatthereisbutone"characteristicradius"foreachcyclonewithhorizontalstructure.Twodirectanalyticsolutionsfortheuniformandnon-uniformbasicflowsinsteadysituationsarepresentedwithrcResultsshowthatthechangeinthehorizontalstructureofthetropicalcycloneitselfwillhaveobviouseffectonthecyclonemotion,onbothitsdirectionandspeed.Thereforeitmustbeconsideredintheresearchonthetropicalcyclonemotion.

简介：Threenumericalexperimentshavebeencarriedoutbyusingaspectralbarotropicprimitiveequationmo-del.Itisfoundthattheresultsobtainedarequitesimilartothosewiththebarotropicfilteredmodel.Themainresultsreadasfollows:(1)Inthecasewithsymmetricorographyorwithoutorography,ifthemotionissymmetric(withre-specttotheequator,thesameistruehereafter)attheinitialinstant,thenitwouldbesymmetricafterwards.(2)Theantisymmetricorographydistributioncouldcauseantisymmetricmotion,andtheoriginalsym-metricmotionmightbecomeasymmetric.Inordertoexplaintheaboveresults,ithasbeenprovedthattheyaretheoreticallyvalid.Anditisfoundthatifthemotionisantisymmetricattheinitialinstant,thenitwouldbecomeasymmetric.Therefore,nopureantisymmetricmotioncouldbemaintained.