简介：本文研究显示，Maxwell方程可以根据基本能量-动量-质量的狭义相对性关系，从波动方程的因式分解来得到。依照这一观点，还可以根据四元数运算关系，从同样的因式分解，导致Marvell方程在无质量或有质量情况下的两种形式的某种推广。

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。

简介：SomenewreflectionprinciplesforMaxwell'sequationsarefirstestablished,whicharethenappliedtoderivetwonovelidentifiabilityresultsininverseelectromagneticobstaclescatteringproblemswithpolyhedralscatterers.

简介：这篇论文被奉献给类型∂_tB(H)+∇的一个非线性的进化旋涡水流模型的学习x(∇xH)0使遭到到同类的Dirichlet边界的=调节Hxv=0并且一本给定的起始的资料。这里，一种软铁磁物质的磁性被B(H)描述的一条非线性的材料法律连接。我们为时间discretization使用向后的Euler方法，我们在合适的功能空格导出错误估计。结果取决于B(H)的非线性。

简介：ThispaperisconcernedwiththeglobalexistenceandthepartialregularityfortheweaksolutionoftheLandau-Lifshitz-MaxellsystemintwodimensionswithNeumannboundaryconditions.

简介：Theeffectofnanoparticleaggregationonthethermalconductivityofnanocompositesornanofluidsistypicallynonnegligible.Auniversalmodel(Maxwellmodel)includingnanoparticleaggregationismodifiedinordertopredictthethermalconductivityofnanocompositesmoreaccurately.Thepredictedthermalconductivitiesofsilicaandtitaniananoparticlepowdersarecomparedfirstwiththatmeasuredbyahot-wiremethodandthenwiththoseinpreviousexperimentalworks.Theresultsshowthatthereisgoodagreementbetweenourmodelandexperiments,andthatnanoparticleaggregationinananocompositeenhancesthethermalconductivitygreatlyandshouldnotbeignored.Becauseitconsiderstheeffectofaggregation,ourmodelisexpectedtoyieldprecisepredictionsofthethermalconductivityofcomposites.

简介：介绍拟稳态Maxwell方程在电气工程领域的可计算建模及应用。对于含导电材料的电磁设备,拟稳态Maxwell方程是描述电流密度分布和欧姆损耗的常用模型,在电机、大型变压器等电气工程设备和集成电路等微电子技术领域有广泛应用。以国际计算电磁学会公布的TEAMWorkshopProblem7和21基准族问题为例,阐述拟稳态Maxwell方程的可计算建模和自适应有限元计算。

简介：Inthispaper,aunifiedmodelfortime-dependentMaxwellequationsindispersivemediaisconsidered.Thespace-timeDGmethoddevelopedin[29]isappliedtosolvetheunderlyingproblem.UnconditionalL2-stabilityanderrorestimateoforderOτr+1+hk+1/2areobtainedwhenpolynomialsofdegreeatmostrandkareusedforthetemporaldiscretizationandspatialdiscretizationrespectively.2-Dand3-Dnumericalexamplesaregiventovalidatethetheoreticalresults.Moreover,numericalresultsshowanultra-convergenceoforder2r+1intemporalvariablet.

简介：Superconvergenceofthemixedfiniteelementmethodsfor2-dMaxwellequationsisstudiedinthispaper.Twoorderofsuperconvergentfactorcanbeobtainedforthek-thNedelecelementsontherectangularmeshes.

简介：Westudythepartialregularityofweaksolutionstothe2-dimensionalLandauLifshitzequationscoupledwithtimedependentMaxwellequationsbyGinzburg-Landautypeapproximation.Outsideanenergyconcentrationsetoflocallyfinite2-dimensionalparabolicHausdorffmeasure,weprovetheuniformlocalC∞boundsfortheapproachingsolutionsandthenextractasubsequenceconvergingtoaglobalweaksolutionoftheLandau-Lifshitz-Maxwellequationswhicharesmoothawayfromfinitelymanypoints.

简介：ThemainaimofthispaperistoprovideconvergenceanalysisofQuasi-WilsonnonconformingfiniteelementtoMaxwell'sequationsunderarbitraryquadrilateralmeshes.Theerrorestimatesarederived,whicharethesameasthoseforconformingelementsunderconventionalregularmeshes.

简介：Analternateyetgeneralformoftheclassicaleffectivethermalconductivitymodel(Maxwellmodel)fortwo-phaseporousmaterialsispresented,servinganexplicitthermo-physicalbasis.Itisdemonstratedthatthereducedeffectivethermalconductivityoftheporousmediaduetonon-conductingporeinclusionsiscausedbythemechanismofthermalstretching,whichisacombinationofreducedeffectiveheatflowareaandelongatedheattransferdistance(thermaltortuosity).

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简介：Inthispaper,weprovetheglobalexistenceoftheweaksolutiontotheviscousquantumNavier-Stokes-Landau-Lifshitz-Maxwellequationsintwo-dimensionforlargedata.ThemaintechniquesaretheFaedo-Galerkinapproximationandweakcompactnesstheory.

简介：这研究向动人的表面为三维的麦克斯韦液体集中于热和集体流动的Cattaneo-Christov理论。有可变热电导率的不可压缩的laminar流动被考虑。流动产生由于表的双向拉长。热和集体运输的联合现象被说明。热和集体散开的Cattaneo-Christov模型被用来开发精力和集体种类的表情。在集体种类方程的一阶的化学反应术语被考虑。边界层假设导致管理数学模型。homotopic模拟被采用设想无尺寸的流动方程的结果。速度，温度，和集中的图显示出不同产生参数的效果。一个数字基准被介绍设想计算结果的会聚的价值。结果证明集中和温度地为热和集体散开的Cattaneo-Christov理论被腐烂。

简介：Ahigh-orderleap-frogbasednon-dissipativediscontinuousGalerkintime-domainmethodforsolvingMaxwell'sequationsisintroducedandanalyzed.Theproposedmethodcombinesacenteredapproximationfortheevaluationoffluxesattheinterfacebetweenneighboringelements,withaNth-orderleap-frogtimescheme.Moreover,theinterpolationdegreeisdefinedattheelementlevelandthemeshisrefinedlocallyinanon-conformingwayresultinginarbitrarylevelhangingnodes.ThemethodisprovedtobestableundersomeCFL-likeconditiononthetimestep.Theconvergenceofthesemi-discreteapproximationtoMaxwell'sequationsisestablishedrigorouslyandboundsontheglobaldivergenceerrorareprovided.Numericalexperimentswithhigh-orderelementsshowthepotentialofthemethod.