简介：这篇论文在无界的领域上讨论汉堡包的方程的数字答案。二条人工的边界被介绍，边界条件在人工的边界上被获得，它在非线性的形式。然后，原来的问题在一个围住的领域上被归结为一个相等的问题。有限差别方法被用于减少的问题，并且一些数字例子被给显示出新途径的有效性。

简介：BaseduponStrohformalismwederiveanovelandconvenientschemefordeterminingtheelasticfieldsofatwo-dimensionalanisotropicbodywithaparabolicboundarysubjecttotwokindsofboundaryconditions,whicharefreesurfaceandrigidsurface,respectively.ThecorrespondingGreen’sfunctionsarefoundbyusingtheconformalmappingmethod.Whentheparaboliccurvede-generatesintoahalf-infinitecrackorrigidinclusion,thesingularstressfieldsnearthetipofdefectsareobtained.Inparticular,thoseGreen’sfunctionsforaconcentratedmomentM0appliedatapointontheparaboliccurvearealsostudied.Itiseasilyfoundthatarbitraryparabolicboundaryvalueprob-lemscanbesolvedbyusingtheseGreen’sfunctionsandassociateintegrals.

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简介：Inthepaperwestudyquestionsaboutsolvabilityofsomeboundaryvalueproblemsforanon-homogenouspoly-harmonicequation.AsaboundaryoperatorweconsiderdifferentiationoperatoroffractionalorderinMiller-Rosssense.Theconsideredproblemisageneralizationofwell-knownDirichletandNeumannproblems.

简介：Inthepresentpaperitwillbeshownthat,bytakingthereferenceframemovingwiththevelocityoffluidattheinterlaceoftwosteadyparallelstreams,thelaminarboundarylayerflowinthetwofluidscanbedecoupledintotwoflows.Theseareexactlythesameasthelaminarboundarylayerflowsalongaflatplate.Andthat,byusingtheexistingexactsolutionofthelaminarboundarylayerequationfortheboundarylayerflowalongaflatplateandappropriateboundaryconditions.Anexactsolutionofthelaminarboundarylayerequationforthelaminarboundarylayerbetweentwoparallelstreamswithdifferentdensities,viscocitiesandvelocitiesisgivenelegantly.ForthecasesconsideredbyLock,theresultsobtainedbythepresentmethodarecomparedwithLock’snumericalcalculationsindetail.

简介：这篇论文为第一份订单的夸张椭圆形的联合系统的边界值问题被奉献给边界条件的合适的设置的学习。相应边界价值问题的wellposedness也被建立。为椭圆形的系统的边界价值问题的Lopatinski条件然后为夸张椭圆形的联合系统被扩大到盒子。在这篇论文的结果能在液体动力学被用于Euler系统，到特别给描述亚声的流动的很好提出的边界价值问题。

简介：Inthispaper,theexistenceofweightedboundarylimitsofα-harmonicfunctionsisdiscussed.

简介：Theboundaryintegralequation(BIE)ofdisplacementderivativesisputatadisadvantageforthedifficultyinvolvedintheevaluationofthehypersingularintegrals.Inthispaper,theoperatorsδijandεijareusedtoactonthederivativeBIE.Theboundarydisplacements,tractionsanddisplacementderivativesaretransformedintoasetofnewboundarytensorsasboundaryvariables.AnewBIEformulationtermednaturalboundaryintegralequation(NBIE)isobtained.TheNBIEisappliedtosolvingtwo-dimensionalelasticityproblems.IntheNBIEonlythestronglysingularintegralsarecontained.TheCauchyprincipalvalueintegralsoccurringintheNBIEareevaluated.AcombinationoftheNBIEanddisplacementBIEcanbeusedtodirectlycalculatetheboundarystresses.ThenumericalresultsofseveralexamplesdemonstratetheaccuracyoftheNBIE.

简介：为有边界不安的反应扩散方程的非线性的起始的边值问题的一个班被考虑。在合适的条件下面并且用微分不平等的理论，起始的边值问题的asymptotic被学习。

简介：Asingle-axisfluxdecaymodelincludinganexcitationcontrolmodelproposedin[12,14,16]isstudied.AsthebifurcationparameterPm(inputpowertothegenerator)varies,thesystemexhibitsdynamicsemergingfromstaticanddynamicbifurcationswhichlinkwithsystemcollapse.Weshowthattheequilibriumpointofthesystemundergoesthreebifurcations:onesaddle-nodebifurcationandtwoHopfbifurcations.Thestatevariablesdominatingsystemcollapsearedifferentfordifferentcriticalpoints,andtheexcitativecontrolmayplayanimportantroleindelayingsystemfromcollapsing.Simulationsarepresentedtoillustratethedynamicalbehaviorassociatedwiththepowersystemstabilityandcollapse.Moreover,bycomputingthelocalquadraticapproximationofthe5-dimensionalstablemanifoldatanorder5saddlepoint,ananalyticalexpressionfortheapproximatestabilityboundaryisworkedout.

简介：Thispaperdealswithabsorbingboundaryconditionsforhyperbolicsystemsinoneandtwospacedimensions.Weprovethestrictwell-posednessoftheresultinginitialboundaryvalueproblemin1D.AfterwardsweestablishtheGKS-stabilityofthecorrespondingLax-Wendroff-typefinitedifferencescheme.Hereby,wehavetoextendtheclassicalproofs,sincethe(discretized)absorbingboundaryconditionsdonotfitthestandardformofboundaryconditionsforhyperbolicsystems.

简介：七十年以前，Myers和Steenrod证明没有边界歧管的Riemannian的isometry组有谎言组的结构。在2007，Bagaev和Zhukova为Riemannianorbifold证明了一样的结果。在这份报纸，作者首先证明isometryRiemannian组织歧管有边界的M至多有尺寸吗？dimM(dimM？1)。然后有他们的isometry组达到的边界的如此的Riemannianmanifolds前面的最大的尺寸完全被分类。与边界歧管的关键词Riemannian-Isometry-旋转地对称的度量标准-主要轨道2000苏布杰克特先生分类53C99-57S15工程由国家天赋支持了中国的科学基础(Nos.10601053，10671096，10871184，10971104)。

简介：在研究和开发的十年以后，海洋的控制来源ElectroMagnetics(MCSEM)为油和煤气的探索进入了应用程序阶段。然而，一会儿3D当模特儿MCSEM与简单模型和许多计算时间一起是远非实际的。在复杂目标身体和它的敏感分析上基于3D频率域MCSEM的向前当模特儿的研究，我们导出能描出的一个方法抵抗水库的边。我们使用大小对偏移量(MVO)曲线的第二衍生物定义抵抗水库边。远为air-wave-dominated回答地区，我们用少些影响的明显的抵抗力建议以便改进方法的适应性。

简介：ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｏｕｇｈｓｉｎｇｕｌａｒＢｏｕｎｄａｒｙｅｌｅｍｅｎｔｉｓｒｅｇａｒｄｅｄａｓａｋｉｎｄｏｆｗｅｉｇｈｔｅｄｒｅｓｉｄｕａｌｓ，ｔｈｅｓｉｎｇｕｌａｒｂｏｕｎｄａｒｙｅｌｅｍｅｎｔｈａｓａｕｎｉｑｕｅｃｈａｒａｃｔｅｒｉｓ...

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简介：在这篇文章，作者讨论二种新平面地图：平底锅扇子地图和电路边界地图，并且关于他们的枚举的功能向明确的表情提供不同参数。同时，为电路的二个明确的数公式有二个参数的立方的边界地图：尺寸和根脸的原子价，也被提取。关键词生根的地图-枚举功能-枚举-电路边界地图先生(2000)题目分类05C10-05C30

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简介：ThispaperdiscussestheglobalexistenceandquenchingofthesolutiontotheNewtonfiltrationequationwiththenonlinearboundarycondition.Theauthorsalsodiscusstheprofileofthequenchingsolutioninthequenchingtimeandobtainthequenchingrateofthequenchingsolution.

简介：在这篇论文，我们显示出与透明边界条件散布问题的马的well-posedness和稳定性。证明取决于与也被建立的复杂波浪数字散布问题的时间泛音麦克斯韦的well-posedness。