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：NewsimpleproofsofuniquecontinuationofsolutionsfortheStokesequationandNavier-Stokesequationsispresentedunderweakerconditions.

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

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

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.

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

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：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。

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

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

简介：ForquantumfluidsgovernedbythecompressiblequantumNavier-StokesequationsinR~3withviscosityandheatconduction,weprovetheoptimalL~p-L~qdecayratesfortheclassicalsolutionsnearconstantstates.TheproofisbasedonthedetailedlinearizeddecayestimatesbyFourieranalysisoftheoperators,whichisdrasticallydifferentfromthecasewhenquantumeffectsareabsent.