简介：本文在空间X_K~（r,q）中研究三维带有科氏力的不可压缩流体Navier-Stokes方程（αu）/（αt）-Δu＋ωe_3×u＋（u·▽）u＋▽q=f（x,t）∈R~3×Rdivu=0（x,t）∈R~3×R证明对于小的殆周期外力f∈BUC（R;B_（p,2）~（-s）（R~3））∩BUC（R;L~l（R~3））,该系统存在唯一的殆周期mild解.

简介：本文针对高雷诺数的瞬态Navier-Stokes方程提出一种稳定化有限元法。此方法增加了线性内罚项,其误差估计与粘性系数无关。

简介：有密度依赖者粘性的one-dimensionalcompressible流动的方程的答案的全球存在被证明。明确地，起始的数据上的假设是模常数在可能不同的x=+∞和x=-∞,被说密度和速度在L~2，并且密度上面并且下面被围住离开零。Theresults也证明甚至在这些条件下面，既不真空状态也不集中状态能在有限时间被形成。

简介：考虑一类Navier-Stokes-Smoluchowski方程组在有界光滑区域Ω？R3中的初边值问题.利用Ballew在其博士论文中得到的局部强解,对强解建立一系列与时间无关的先验估计,最后得到此模型的整体强解.

简介：我们证明了半空间中一维可压Navier—Stokes方程初边值问题局部解的存在性，证明主要是利用了能量方法．

简介：构造了三维Navier-Stokes方程的中心差分格式、Lax-Ffiednch差分格式，利用MATLAB软件程序做出差分解与精确解的误差图像，分析差分解与精确解的吻合程度，并讨论中心差分格式、Lax—Ffiedfich差分格式的优缺点。

简介：摘要本文研究了三维空间中带有科氏力的Navier-Stokes方程的时间周期问题，证明了当外力属于Besov空间时，方程的周期mild解的正则性.

简介：NewsimpleproofsofuniquecontinuationofsolutionsfortheStokesequationandNavier-Stokesequationsispresentedunderweakerconditions.

简介：考虑修正NLG(一种变模形式非线性Galerkin)方法求解二维Navier-Stokes方程的全离散形式,通过一个例子的数值实现,按几种不同形式作了计算,数值算例表明了在不损失精度的情况下,修正NLG方法于CPU耗时方面有明显的节省.

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.