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：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：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：NewsimpleproofsofuniquecontinuationofsolutionsfortheStokesequationandNavier-Stokesequationsispresentedunderweakerconditions.

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

简介：Inthispaper,weconsiderthefollowinginitialproblemofsemilinearStokesequationswiththeexistenceofglobalsolutionsobtained

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

简介：

简介：

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：

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

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

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.

简介：作者调查Prandtl边界层理论能严厉地为被验证的边界层的一些例子。所有为与各种各样的Dirichlet边界条件(指定速度)装备的牛顿的液体与不可压缩的海军司烧方程他们被联系。这些例子包括一个家庭(非线性的3D)飞机平行流动，一个家庭(非线性)有在边界的一致注射和吸的平行管子流动，以及流动。我们也在建立Prandtl类型理论的有效性识别关键成分，即，一光谱海军司烧系统的近似答案上的限制由联合Prandtl类型系统的inviscid答案和解决方案构造了。这是除与Prandtl类型系统的well-posedness有关的著名问题以外的一个另外的困难。看起来主要阻塞到确认光谱限制状况是边界层的可能的分离。这些例子的一个普通主题也经由在边界压制速度正常到边界或由注射和吸以便是边界层的分离的抑制光谱限制能被验证。一条元定理然后被介绍它盖住这里考虑的所有盒子。

简介：AbstractInthisarticlewebrieflystudiedthefictitiousdomainmethodsforsteadyandnonsteadyNavier-StokesequationsbasedonPenaltyfactorεontheextendeddomain.Theconvergenceu?→uinH01（Ω）dandL2（Ω）d（d=2,3）isgivenaswellasp?→pinL02（Ω）.

简介：Thispaperisconcernedwiththelarge-timebehaviorofsolutionstoaninitial-boundary-valueproblemforfullcompressibleNavier-Stokesequationsonthehalfline(0,∞),whichisnamedimpermeablewallproblem.Itisshownthatthe3-rarefactionwaveisstableunderpartiallylargeinitialperturbationiftheadiabaticexponentγiscloseto1.Herepartiallylargeinitialperturbationmeansthattheperturbationofabsolutetemperatureissmall,whiletheperturbationsofspecificvolumeandvelocitycanbelarge.Theproofisgivenbytheelementaryenergymethod.

简介：在这份报纸，为在3D的不可压缩的海军司烧方程围住的nonhomogeneous或无界的领域的大答案的全球L2稳定性的问题被学习。由精细的精力估计并且在大解决方案的合适的条件下面，它证明如果起始的数据是已知的强壮的解决方案的那些上的小不安，大解决方案是稳定的。