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简介：Itwasrecentlysuggestedthattheperiodicandfractalprecipitaionofcalciumsaltsandproteinsincholesterolgallstonesiscloselyrelatedtotheprocessofstoneformation.Thepresentstudyistomimictheprocessofgallstonegrowthinvitro.Wedemonstrateforthefirsttimethatathree-dimensionalstructureofperiodicrings(Liesegangring)and/orfractalpatternscanbeproducedbymetalionanddeoxycholateprecipitaitonwhicharesimilartogallstones.Precipitationinaperiodicpatternoccursmoreoftenthaninafractalstructure,UsingX-raydiffraction.polarizedlightmicroscope,Fouriertransform-infrared(FT-IR),andextendedX-rayabsorptionfinestructure(EXAFS),westudiedthepatternformationmechanismsofbothtypesofstructure.Theresultsindicatethattherateofnucleationinthecrystalgrowthisacrucialelementofaffectthepatternformation.Thepatternselectionbetweenperiodicandfractaltypedependsonthecrystalgrowthspeedandtherateofnucleation.

简介：Inthispaper,westudyatwo-speciesperiodicBeddington-DeAngelispredator-preymodelwithdelayinatwo-patchenvironment,inwhichthepreyspeciescandispersebetweentwopatches,butthepredatorspeciescannotdisperse.Onthebasisofthecomparisontheoremofdifferentialequations,weestablishsufficientconditionsforthepermanenceandextinctionofthesystem.

简介：在周期的chiral结构之上考虑一个时间泛音波浪事件的衍射。衍射问题可以被简化到二维的。在这篇论文，衍射问题被一个有限元素方法与完美地匹配的吸收的层(PML)解决。我们使用PML技术截断无界的领域到在PML区域稀释出去的波浪的围住的。我们的计算实验显示建议方法是有效的，它能够处理复杂chiral栅栏结构。数学题目分类：35Q60，65L60，78A45。

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简介：Thispaperpresentstheanalysisofopenmicrostripstructuresbyusingdiakopticmethodoflines(ML)combinedwithperiodicboundaryconditions(PBC).Theparametersofmicrostrippatchareobtainedfrompatchcurrentexcitedbyplanewave.ImpedancematrixelementsarecomputedbyusingfastFouriertransform(FFT),andreducedequationissolvedbyusingdiakoptictechnique.Consequently,thecomputingtimeisreducedsignificantly.TheconvergencepropertyofsimulatingopenstructurebyusingPBCandthecomparisonofthecomputertimebetweenusingPBCandusualabsorbingboundarycondition(ABC)showthevalidityofthemethodproposedinthispaper.Finally,theresonantfrequencyofamicrostrippatchiscomputed.Thenumericalresultsobtainedareingoodagreementwiththosepublished.

简介：Thispaperprovesthattheoptimalquadratureformulasoftype（r1,…rn）forWm1isunique,andtheextremalfunctionischaracterizedbyitsoscillatoryproperty.Ontheotherhand,thefundamentaltheoremofalgebraforperiodicmonosplineswithoddmultiplicitiesissolvcd

简介：Inthispaper,thespace-timeRieszfractionalpartialdifferentialequationswithperiodicconditionsareconsidered.TheequationsareobtainedfromtheintegralpartialdifferentialequationbyreplacingthetimederivativewithaCaputofractionalderivativeandthespacederivativewithRieszpotential.ThefundamentalsolutionsofthespaceRieszfractionalpartialdifferentialequation(SRFPDE)andthespace-timeRieszfractionalpartialdifferentialequation(STRFPDE)arediscussed,respectively.UsingmethodsofFourierseriesexpansionandLaplacetransform,wederivetheexplicitexpressionsofthefundamentalsolutionsfortheSRFPDEandtheSTRFPDE,respectively.

简介：Wedemonstrateaphotonicbandgap(PBG)fromone-dimensional(1D)periodicstructurescreatedbyadouble-layerunitcellwithanairlayerandananisotropicnonmagneticleft-handedmetamaterial(LHM)layerwhosepermittivityelementsarepartiallynegative.TherequirementsimposedonthematerialsandstructurestorealizeaPBGarederivedwhenthefrequencyisaboveorbelowthecutofffrequency,andthetransmissionpropertiesofthePBGarediscussedbyutilizing4×4transfer-matrixmethodwithdispersivesemiconductormetamaterial.

简介：机械脱落是一个广泛地使用的方法从体积石墨孤立高质量的graphene层。在我们的最近的实验，一些订了微观结构，由性变态和条纹的周期的引申组成，在薄石墨薄片被观察机械地从高度面向的pyrolytic被剥石墨。在这份报纸，一个理论模型被介绍在脱落期间把如此的订的结构的形成归因于二个机械过程的引申：(1)一个石墨薄片脱皮并且(2)薄片的机械弄弯正在受到弯曲。在这个模型，条纹L的宽度被薄片，表面精力\(\gamma\)，和批评弄弯紧张\的厚度h决定(\varepsilon_{\mathrm{cr}}\)。用\(\gamma\)和\的一些适当价值(\varepsilon_{\mathrm{cr}}\)那在另外的独立实验和模拟决定的范围以内，在条纹宽度之间的预言的关系和薄片厚度与我们的试验性的大小相当同意很好。相反地，在薄石墨薄片测量周期的微观结构的Lh关系能帮助决定批评机械弄弯紧张\(\varepsilon_{\mathrm{cr}}\)并且接口精力\(\gamma\)。

简介：一个光陷井能在在一个光洞嵌入的一个ultracold原子系统由一块轻地被印，是众所周知的，并且由三块不同的协调的地开车。在光洞共存的三块地中，有一块强烈控制地，经由创造与联系Rabi频率的平方成正比的力量的一个周期的光栅栏的导致electromagnetically的透明性，和另一块地导致巨大的克尔非线性。在这，管理探查域的繁殖的非线性的方程的工作elliptic-soliton答案被考虑，与形成有明确的量数字的一个分离系列的光soliton火车的可能的产生上的强调。这个问题被对待假定周期的光栅栏的二种不同类型并且考虑否定并且detunings(detuning在上面或在回声下面)的正号。结果预言在自我阶段和跨阶段的调整非线性之间的比赛产生不同的量数字描绘的时间的soliton火车模式的一个富有的家庭。

简介：ThisLetterreportstheformationofperiodicsurfacestructuresonNi–Fefilmirradiatedbyasinglefemtosecondlaserpulse.Aconcavelenswithafocuslengthof-150mmisplacedinfrontofanobjective(100×,NA=0.9),whichtransformstheGaussianlaserfieldintoaringdistributionbytheFresneldiffraction.Periodicripplesformontheablationareaaftertheirradiationofasinglefemtosecondlaserpulse,whichdependsonthelaserpolarizationandlaserfluence.Weproposethattheringstructureofthelaserfieldleadstoasimilartransientdistributionofthepermittivityonthesamplesurface,whichfurtherlaunchesthesurfaceplasmonpolaritons.Theinteractionoftheincidentlaserwithsurfaceplasmonpolaritonsdominatestheformationofperiodicsurfacestructures.

简介：把陈和Hau的理论基于D.P，一个理论方法被介绍分析嘘类型表面的分散特征与一个变化原则和coupling-of-modes在周期的金属性的栅栏结构上宣传的声学的波浪(锯)方程。没有使用复杂格林的功能，方法的精明的结果Hashimoto的理论与那些同意很好。在另一方面，Hashimoto的方法为在ST-90上计算short-circuited栅栏的分散关系是无助的

简介：Thispaperinvestigatesperiodicboundaryvalueproblemforfirstordernonlinearimpulsiveintegro-differentialequationsofmixedtypeinaBanachspace.Byestablishingacomparisonresult,criteriaontheexistenceofmaximalandminimalsolutionsareobtained.

简介：Theelasticwavepropagationphenomenaintwo-dimensionalperiodicbeamlatticesarestudiedbyusingtheBlochwavetransform.Thenumericalmodelingisappliedtothehexagonalandtherectangularbeamlattices,inwhich,boththein-plane(withrespecttothelatticeplane)andout-of-planewavesareconsidered.ThedispersionrelationsareobtainedbycalculatingtheBlocheigenfrequenciesandeigenmodes.Thefrequencybandgapsareobservedandtheinfluenceoftheelasticandgeometricpropertiesoftheprimitivecellonthebandgapsisstudied.ByanalyzingthephaseandthegroupvelocitiesoftheBlochwavemodes,theanisotropicbehaviorsandthedispersivecharacteristicsofthehexagonalbeamlatticewithrespecttothewavepropagationarehighlightedinhighfrequencydomains.OneimportantresultpresentedhereinisthecomparisonbetweenthefirstBlochwavemodestothemembraneandbending/transverseshearwavemodesoftheclassicalequivalenthomogenizedorthotropicplatemodelofthehexagonalbeamlattice.Itisshownthat,inlowfrequencyranges,thehomogenizedplatemodelcancorrectlyrepresentboththein-planeandout-of-planedynamicbehaviorsofthebeamlattice,itsfrequencyvaliditydomaincanbepreciselyevaluatedthankstotheBlochmodalanalysis.Asanotherimportantandoriginalresult,wehavehighlightedtheexistenceoftheretropropagatingBlochwavemodeswithanegativegroupvelocity,andofthecorresponding'retro-propagating'frequencybands.

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简介：裂缝的一个二倍地周期的数组在远地的反飞机下面削弱的Orthotropic材料砍被调查，在基本房间包含不相等的尺寸的四个裂缝的地方。由使用印射的技术，椭圆的函数理论和分析函数边界值问题的理论，整个地的压力的一个关上的形式解决方案被获得。为在裂缝尖端和有效的反飞机的压力紧张因素的准确公式砍击碎的orthotropic材料的模量被导出。有有限元素方法的比较显示出现在的方法的效率和精确性。几个解说性的例子被提供，并且有趣的现象也就是说被观察更少的有效模量是的压力紧张因素和尺寸独立于为二倍地周期的击碎的各向同性的材料的材料性质，但是为二倍地周期的击碎的orthotropic材料强烈取决于材料性质。为反飞机问题的如此的现象为在里面飞机问题类似于那。现在的答案能为另外的数字、近似的方法提供基准结果。

简介：AFourier-Chebyshevpseudospectralschemeisproposedforthree-dimensionalvorticilyequationwithunilaterallyperiodicboundarycondition.Thegeneralizedstabilityandconvergenceareanalysed.Thenumericalresultsarepresented.

简介：Aclassofperiodicinitialvalueproblemsfortwo-dimensionalNewton-Boussinesqequationsareinvestigatedinthispaper.TheNewton-Boussinesqequationsareturnedintotheequivalentintegralequations.Withiterationmethods,thelocalexistenceofthesolutionsisobtained.Usingthemethodofaprioriestimates,theglobalexistenceofthesolutionisproved.

简介：Earlyin1904,Hadamard[1]showedthescaleimplicitfunctiontheoremoffinitedimensions.Thenitwasgeneralizedtoinfinitedimensions.Inthispaperanewproofofthistheoremisgivenandtheuniqueexistenceoftheperiodicsolutionforaclassofordinarydifferentialequationsystemsatresonanceisobtained.