简介：NewsimpleproofsofuniquecontinuationofsolutionsfortheStokesequationandNavier-Stokesequationsispresentedunderweakerconditions.

简介：InthispaperwegiveanoverviewofthepresentstateoffastsolversforthesolutionoftheincompressibleNavier-StokesequationsdiscretizedbythefiniteelementmethodandlinearizedbyNewtonorPicard'smethod.Itisshownthatblockpreconditionersformanexcellentapproachforthesolution,howeverifthegridsarenottofinepreconditioningwithaSaddlepointILUmatrix(SILU)maybeanattractivealternative.Theapplicabilityofallmethodstostabilizedelementsisinvestigated.Incaseofthestand-aloneStokesequationsspecialpreconditionersincreasetheefficiencyconsiderably.

简介：InthispaperweextendthemethoddevelopedinforlimitingStokeswaveofinfinitewaterdepthtocoverthecaseoffinitedepth.Themethodhashighefficiencyandtheresultisaccurate.

简介：Stokesdriftisthemainsourceofverticalvorticityintheoceanmixedlayer.InthewaysofCoriolis-StokesforcingandLangmuircirculations,Stokesdriftcansubstantiallyaffectthewholemixedlayer.AmodifiedMellor-Yamada2.5levelturbulenceclosuremodelisusedtoparameterizeitseffectonupperoceanmixingconventionally.Resultsshowthatcomparingsurfaceheatingwithwavebreaking,Stokesdriftplaysthemostimportantroleintheentireoceanmixedlayer,especiallyinthesubsurfacelayer.Asexpected,Stokesdriftelevatesboththedissipationrateandtheturbulenceenergyintheupperoceanmixing.Also,influenceofthesurfaceheating,wavebreakingandwindspeedonStokesdriftisinvestigatedrespectively.ResearchshowsthatitissignificantandimportanttoassessingtheStokesdriftintooceanmixedlayerstudying.Thelaboratoryobservationsaresupportingnumericalexperimentsquantitatively.

简介：Inthispaper,weconsiderthefollowinginitialproblemofsemilinearStokesequationswiththeexistenceofglobalsolutionsobtained

简介：Inthispaper,weconsidertheso-called"inexactUzawa"algorithmappliedtotheunstableNavier-Stokesproblem.Weusestabilizationmatrixtostabilizetheunstablesystemandprovedtheoreticallythatundergivenproperpreconditioners,Uzawaalgorithmisconvergentforthestablizationsystem.Boundsfortheiterationerrorareprovided.WeshownumericallythatUzawaalgorithmisconvergentaswellforthestabilizationsystemswhenitisusedinthesteady-stateNavier-Stokesproblem(cf.[6]).

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简介：Inthispaper,weproposeamortarelementmethodwithLagrangemultiplierforincompressibleStokesproblem,i.e.,thematchingconstraintsofvelocityonmortaredgesareexpressedintermsofLagrangemultipliers.WealsopresentP_1noncon-formingelementattachedtothesubdomains.Byprovinginf-supcondition,wederiveoptimalerrorestimatesforvelocityandpressure.Moreover,weobtainsatisfactoryapproximationfornormalderivativesofthevelocityacrosstheinterfaces.

简介：Thispaperaddressesanonstationaryflowofheat-conductiveincompressibleNewtonianfluidwithtemperature-dependentviscositycoupledwithlinearheattransferwithadvectionandaviscousheatsourceterm,underNavier/Dirichletboundaryconditions.Thepartialregularityforthevelocityofthefluidisprovedforeachproperweaksolution,thatis,forsuchweaksolutionswhichsatisfysomelocalenergyestimatesinasimilarwaytothesuitableweaksolutionsoftheNavier-Stokessystem.Finally,westudythenatureofthesetofpointsinspaceandtimeuponwhichproperweaksolutionscouldbesingular.

简介：APLU-SGSmethodbasedonatime-derivativepreconditioningalgorithmandLUSGSmethodisdevelopedinordertocalculatetheNavier-Stokesequationsatallspeeds.TheequationswerediscretizedusingAUSMPWschemeinconjunctionwiththethird-orderMUSCLschemewithVanLeerlimiter.ThepresentmethodwasappliedtosolvethemultidimensionalcompressibleNavier-Stokesequationsincurvilinearcoordinates.Characteristicboundaryconditionsbasedontheeigensystemofthepreconditionedequationswereemployed.Inordertoexaminetheperformanceofpresentmethod,driven-cavityflowatvariousReynoldsnumbersandviscousflowthroughaconvergent-divergentnozzleatsupersonicwereselectedtotestthismethod.Thecomputedresultswerecomparedwiththeexperimentaldataortheothernumericalresultsavailableinliteratureandgoodagreementsbetweenthemareobtained.Theresultsshowthatthepresentmethodisaccurate,self-adaptiveandstableforawiderangeofflowconditionsfromlowspeedtosupersonicflows.

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简介：这份报纸与可变粘性为分离Oseen问题的反复的答案处理preconditioners。这个工作的动机从多相的流动的数字模拟发源，由联合Cahn-Hilliard和不可压缩的海军司烧方程管理了。某已知的preconditioning技术上的可变粘性的影响被分析。理论考虑和数字实验证明一些广泛地使用了preconditioning技术因为当粘性正在变化时，有经常的粘性的Oseen问题也是有效的。

简介：Thevelocitiesofboundarylayerflowsbetweentwoparalleloscillatingplatesseparatedbysmalldistance,i.e.,insocallednarrowchannel,weretheoreticallyandexperimentallystudied.ThefocuswasonthelaminarcasewheretheReynoldsnumberReAismuchsmallerthanthetransitionvalue.ThetheoreticalanalysisoftheStokeslayerinoscillatingflowoveranarrowchannelwasmadefirst.ThenLaserDopplerVelocimeter(LDV)wasemployedtomeasuretheStokesboundarylayeraboveanoscillatingflatplateandinsidetheoscillatingnarrowchannelatvariousReHnumbers.Atthesametime,thephaseangledifferencealongtheverticaldirectioninbothanalysisandexperimentwereprovided.Thegoodagreementsareshownbetweenthemeasuredresultsandthetheoreticalsolution.

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简介：WestudythehomogenizationoftheincompressibleNavier-Stokesequationswithperiodicoscillatingcoefficientinaboundednon-homogeneousmedia.Todothat,weintroduceageneralizedcompensatecompactnessresultandasuitableclassoftestfunctiontothisproblem.Bypassingthelimit,weobtainthehomogenizedmodelofthisproblem.

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

简介：影响司烧混合的层温度变化上的飘移被考虑Stokes飘移在混合的层温度并且用的方程导致的一个移流的热运输学期估计海洋并且从一个全球海洋发行量模型(HYCOM)和一个波浪的波浪参数当模特儿(波浪手表III)。维的分析和量的评价方法被进行估计Stokes飘移导致的效果的重要性并且分析它的空间分发和季节的变化特征。到在mid-to-high纬度的混合的层温度变化的Stokes飘移的贡献与吝啬的水流的是可比较的结果表演，和混合的层温度变化的实质的部分被考虑Stokes飘移效果导致。尽管Stokes飘移导致的移流热运输不是为混合的层温度方程的领先的术语，它不能被忽视并且甚至为upperocean温度的模拟在一些区域变得批评。

简介：AbstractWeanalyzemathematicalmodelsgoverningplanarflowofchemicalreactionfromunburntgasestoburntgasesincertainphysicalregimesinwhichdiffusiveeffectssuchasviscosityandheatconductionaresignificant.ThesemodelscanbethenformulatedastheNavier-Stokesequationsforexothermicallyreactingcompressiblefluids.Wefirstestablishtheexistenceanddynamicbehavior,includingstability,regularity,andlarge-timebehavior,ofglobaldiscontinuoussolutionsoflargeoscillationtotheNavier-StokesequationswithconstantadiabaticexponentγandspecificheatC_v.Ourapproachfortheexistenceandregularityistocombinethedifferenceapproximationtechniqueswiththeenergymethods,totalvariationestimates,andweakconver-genceargumeotstodealwithlargejumpdiscontinuities;andforlarge-timebehaviorisanaposterioriargumentdirectlyfromtheweakformoftheequations.Theapproachandideaswedevelopherecanbeappliedtosolvingamorecomplicatedmodelwhereγ