简介：Alinearstabilityanalysisisperformedforaplumeflowinsideacylinderofaspectratio1.TheconfigurationisidenticaltothatusedbyLopezandMarques(2013)fortheirdirectnumericalsimulationstudy.Itisfoundthatthefirstbifurcation,whichleadstoaperiodicaxisymmetricflowstate,isaccuratelypredictedbylinearanalysis:boththecriticalRayleighnumberandtheglobalfrequencyareconsistentwiththereportedDNSresults.Itisfurthershownthatpressurefeedbackdrivestheglobalmode,ratherthanabsoluteinstability.

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简介：Theinstabilityofboreholewallisalwaysadifficultquestionindrillingboreholeprogress.Itincreasesthecostofproductionandprolongsproductioncycle.Soithasasignificantresearchvalue.Consideringtheeffectofmudpressureandporepressureonthestabilityofboreholewall,thispaperestablishesamathmodelbyapplyingthetwo-dimensionalbondtheoryofBiot.Itappliesthemethodofthenumericalsimulationtoanalyzetheeffectofmudpressureandporepressureonthestabilityofboreholewall.Thesimulationresultsshowthatthemudpressureimposesgreatinfluenceonstressfieldandonthedeformationofboreholesoil,whichprovidesatheoreticalbasisduringthedrillingprocesstoavoidtheinstabilityoftheboreholeandtostudyhowtoselectreasonablemudandmudpressure.

简介：最近，Popa和Rasa[27，28]出现了(在里面)一些古典操作员的稳定性定义在上[0，1]并且当积极线性操作员在Hyers-Ulam的意义是稳定的时，发现最好的常数。在这份报纸，我们显示出Hyers-Ulam(在里面)紧缩的磁盘上的复杂Bernstein-Schurer操作符，复杂Kantrovich-Schurer操作符和Lorentz操作符的稳定性。当操作员在Hyers和Ulam的意义是稳定的时，在情况中，我们为各自的操作员发现Hyers-Ulam稳定性常数的infimum。

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简介：有在一个紧缩的公制的空格的固定和更低的pseudocontinuity的优化问题的一个类的最小的解决方案的必要稳定性的描述被给。它证明这里考虑的任何优化问题分别地有一个必要部件一个必要最小的答案如果并且仅当它的最小的答案集合分别地被连接单条和那有一个唯一的最小的答案的那些优化问题然而形成一个剩余集合，它不必稠密。

简介：一系列2D模型测试被进行估计合成垂直防波提的基础稳定性。在这篇论文，从试验性的学习的结果与一个公式相连地被介绍估计基础的稳定性数字，它是为如此的结构的基础稳定性的评估的最重要的参数。有不同盔甲石头尺寸的合成防波提的稳定性上的波浪高度，波浪时期和城墙与外濠间之狭道宽度的影响被调查。45测试被执行盖住这些参数的影响。根据现在的研究，城墙与外濠间之狭道宽度是有关盔甲基础的侵蚀的一个重要参数。作为城墙与外濠间之狭道宽度增加，城墙与外濠间之狭道侵蚀的数量减少。比较在现在的学习和Kimura等建议的估计的稳定性数字的结果之间被做。(1994)，它是Tanimoto的扩展公式。结果证明以后的公式低估稳定性数字。然而，由使用一个改进因素大约1.7米到Kimura等。公式，结果与现在的试验性的结果相关……

简介：Asthetheoryofthefractionalorderdifferentialequationbecomesmaturegradually,thefractionalorderneuralnetworksbecomeanewhotspot.TherobuststabilityofaclassoffractionalorderHopfieldneuralnetworkwiththeCaputoderivativeisinvestigatedinthispaper.ThesufficientconditionstoguaranteetherobuststabilityofthefractionalorderHopfieldneuralnetworksarederivedbymakinguseofthepropertyoftheMittag-Lefflerfunction,comparisontheoremforthefractionalordersystem,andmethodoftheLaplaceintegraltransform.Furthermore,anumericalsimulationexampleisgiventoillustratethecorrectnessandeffectivenessofourresults.

简介：Aseismicstabilityassessmentofarchdam-foundationsystemsispresentedusingacomprehensiveapproach,inwhichthemainfactorsthatsignificantlyinfluencetheseismicresponseofanarchdam-foundationsystemareconsidered.Alargescalefiniteelementmodelwithover1milliondegreesoffreedomisconstructedfortheBaihetanarchdam(289mhigh),whichisunderconstructionintheSouthwestofChina.Inparticular,thecomplicatedgeologicalconditionswithfaultsintersectinginterlayershearweaknesszonesatthedambaseandthedamabutmentresistingforcebodyismodeledintheanalysis.Threeperformanceindicesareadoptedtoassesstheseismicstabilityofthearchdam.TheresultsdemonstratethattheopeningofthejointsoftheBaihetanarchdamissmallandthewaterstopinstalledbetweenthejointswouldnotbetornduringadesignearthquake.Theyieldingformedintheinterfacebetweenthedamandfoundationdoesnotreachthegroutingcurtainthatwouldremaininanelasticstateafteranearthquake.Theyieldingzonesoccurringontheupperportionofthedamfacesextend1/8thicknessofblocksectionintothedambodyandthuscantileverblocksneednotbeconcernedwithslidingstability.Thefaultsandinterlayershearweaknesszonesinthenearfieldfoundationexhibitsevereyielding,andapotentialslidingsurfaceispenetrated.Althoughthefactorofsafetyagainstslidingofthesurfacefluctuateswithadecreasedtrendduringanearthquake,theminimuminstantaneousvaluereaches1.02andisstilllargerthan1.0.Therefore,aconclusionisdrawnthattheBaihetanarchdam-foundationsystemwillremainstableunderthedesignearthquake.

简介：ThispaperisconcernedwiththeexistenceandthenonlinearasymptoticstabilityoftravelingwavesolutionstotheCauchyproblemforasystemofdissipativeevolutionequations{ξt=-θx+βξxx,θt=vξx+(ξθ)x+αθxx,withinitialdataandendstates(ξ,θ)(x,0)=(ξ0,θ0)(x)→(ξ±,θ±)asx→±∞.Weobtaintheexistenceoftravelingwavesolutionsbyphaseplaneanalysisandshowtheasymptoticnonlinearstabilityoftravelingwavesolutionswithoutrestrictionsonthecoefficientsαandvbythemethodofenergyestimates.

简介：Inthispaper,weconsidertheuniformstabilityanduniformlyasymptoticalstabilityofnonlinearimpulsiveinfinitedelaydifferentialequations.InsteadofputtingallcomponentsofthestatevariablexinoneLyapunovfunction,severalLyapunov-Razumikhinfunctionsofpartialcomponentsofthestatevariablexareusedsothattheconditionsensuringthatstabilityaresimplerandlessrestrictive;moreover,examplesarediscussedtoillustratetheadvantageoftheresultsobtained.

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简介：Inthispaper,globalrobuststabilityofuncertainstochasticrecurrentneuralnetworkswithMarkovianjumpingparametersisconsidered.AnovelLinearmatrixinequality(LMI)basedstabilitycriterionisobtainedtoguaranteetheasymptoticstabilityofuncertainstochasticrecurrentneuralnetworkswithMarkovianjumpingparameters.TheresultsarederivedbyusingtheLyapunovfunctionaltechnique,LipchitzconditionandS-procuture.Finally,numericalexamplesaregiventodemonstratethecorrectnessofthetheoreticalresults.Ourresultsarealsocomparedwithresultsdiscussedin[31]and[34]toshowtheeffectivenessandconservativeness.

简介：Inthispaper,aLotka-Volterracooperationsystemwithsinglefeedbackcontrolisproposedandstudied.Weinvestigatethelocalstabilityandtheglobalstabilityofthesystem.Ourstudyshowsthatwithsuitablerestrictiononthecoefficientsofthefeedbackcontrolvariable,thesystemcanstillremaingloballystableorbecomeextinct,whichshowsthatthefeedbackcontrolvariableplaysaveryimportantroleinthedynamicsbehaviorsofthesystem.

简介：Overthepast35years,integrationandengagementhaveformedtheprincipalaxisofChina’sU.S.strategyandtheU.S.’Chinastrategy.BothcountriesagreedthatChinaneededtomodernizeandjointheinternationalsystem.Itisimperativethatthetwocountriesclinchanewstrategicconsensuson"jointlydevelopingwithinthesamesystem",andcreatinganenduringandstableframeworkwithinwhichthetwocanpeacefullyco-exist,rationallycompeteandeffectivelycooperate.

简介：Althoughthebearingcapacityofplateanchorsinclayhasbeenstudiedextensively,theresultsconsideringtheeffectsofoffshorecyclicloadingarerelativelyrare.Inthepresentstudy,1gmodeltestsarecarriedouttoinvestigatetheeffectofcyclicloadingonthebearingcapacityofplateanchorsinclay.Theultimatepulloutcapacityofplateanchorsinclaydecreasesastheaccumulatedplasticshearstraingrowsduetothestrain-softeningofclayundercyclicloading.Theload-displacementcurvesofthesetestsarepresentedandtheeffectsofoverburdenstressandcyclicloadingamplitudeonthestrain-softeningbehaviorarediscussed.

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简介：Inthispaper,westudytheorbitalstabilityofsolitarywavesofcompoundKdV-typeequationintheformofut+aupux+bu2pux+uxxx=0(b≥0,p>0).Ourresultsimplythatorbitalstabilityofsolitarywavesisaffectednotonlybythehighest-ordernonlineartermbu2pupx,butalsothenonlineartermauux.Forthecaseofb>0and00,whilethatunstablewhena<0.Thestabilityfornegativesolitarywaveu2(x-ct)isonthecontrary.Inparticular,wepointthatthenonlineartermwithcoefficientamakescontributestothestabilityofthesolitarywaveswhenp=2anda>0.

简介：Inthepast,thepseudo-staticmethodusedtobethemostcommonforevaluatingthestabilityoflandslidesunderseismicloads,inwhichstaticforcesactingonthecenterofgravityofaslidingbodyareusedtoconsidertheeffectsofearthquake.However,seismicloadsofrockandsoildifferfromtimeandlocationtotimeandlocation.Obviously,itisirrationalforthepseudo-staticapproachtobeappliedtosolvingdynamicproblems.Inthispaper,adisplacementpseudo-dynamicmodelisproposedtoassessseismicstabilityoflandslides,inwhichthesinusoidalcosinusoidalwaveisappliedtosimulatingearthquakedisplacement,andan'amplificationfactor'ofpeakseismicdisplacementisreferredtoastheamplificationofseismicwavewhenitpropagatesfromthebottomtothetopofthelandslide.Theeffectsofphysico-mechanicalbehaviorsofaslidingbodyonseismicstabilityofsoilslopesaretakenintoaccountaswellasinertiaforcesanddampingforces.Thesensitivityanalysesonthepermanentdisplacementandthedynamicfactorofsafetyoflandslidesarestudiedindetail.Moreover,alarge-scaleTangjiashanlandslidethatoccurredinWenchuanearthquakeisinvestigatedtoverifytherobustnessandprecisionofthepresentmethod.Itisfoundthattheresultsfromthepresentmethodisingoodagreementwiththosefromthepreviousmethod.