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简介：Inthisarticle,weobtaintheL~p-boundednessofcommutatorsofLipschitzfunctionsandsingularintegralswithnon-smoothkernelsonEuclideanspaces.

简介：检验起始的价值问题为非静止司烧流动，在一条非线性的边界下面，能被称为磨擦的漏缝边界条件的条件打字。起始的价值问题的解决之可能性的检查；分析的方法；非线性的semigroup理论的评论。

简介：Dual-phaselag(DPL)modelisusedtodescribethenon-Fourierheatconductioninafinitemediumwheretheboundaryatx=0isheatedbyarectangularpulsedenergysourceandtheotherboundaryistightlycontactedwithanothermediumandsatisfiesthecontinuousboundarycondition.Numericalsolutionofthiskindofnon-Fourierheatconductionispresentedinthispaper.Theresultsarecomparedwiththosepredictedbythehyperbolicheatconduction(HHC)equation.

简介：Asystematicstudywasmadeonthetopologicalnatureofthesystemofnon-staticrotatingfluid.Severalinitial(boundary)valueproblemsandtheirwell-posednesswerediscussed.

简介：InthispaperwegiveaconvergencetheoremfornonC^0nonconformingfiniteelementtosolvetheellipticfourthordersingularperturbationproblem.Twosuchkindofelements,anineparametertriangularelementandatwelveparameterrectangularelementbothwithdoublesetparameters,arepresented.Theconvergenceandnumericalresultsofthetwoelementsaregiven.

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简介：Westudytheexistenceoftravelingwavesolutionsforanonlocalandnon-monotonedelayedreaction-difusionequation.Basedontheconstructionoftwoassociatedauxiliaryreactiondifusionequationswithmonotonicityandbyusingthetravelingwavefrontsoftheauxiliaryequations,theexistenceofthepositivetravelingwavesolutionsforc≥cisobtained.Also,theexponentialasymptoticbehaviorinthenegativeinfnitywasestablished.Moreover,weapplyourresultstosomereactiondifusionequationswithspatio-temporaldelaytoobtaintheexistenceoftravelingwaves.Theseresultscover,complementand/orimprovesomeexistingonesintheliterature.

简介：Basedonthemultivariatecontinuoustimeautoregressive(CAR)model,thispaperpresentsanewtime-domainmodalidentificationmethodoflineartime-invariantsystemdrivenbytheuniformlymodulatedGaussianrandomexcitation.Themethodcanidentifythephysicalparametersofthesystemfromtheresponsedata.First,thestructuraldynamicequationistransformedintoacontinuoustimeautoregressivemodel(CAR)oforder3.Second,basedontheassumptionthattheuniformlymodulatedfunctionisapproximatelyequaltoaconstantmatrixinaveryshortperiodoftimeandonthepropertyofthestrongsolutionofthestochasticdifferentialequation,theuniformlymodulatedfunctionisidentifiedpiecewise.Twospecialsituationsarediscussed.Finally,byvirtueoftheGirsanovtheorem,weintroducealikelihoodfunction,whichisjustaconditionaldensityfunction.Maximizingthelikelihoodfunctiongivestheexactmaximumlikelihoodestimatorsofmodelparameters.Numericalresultsshowthatthemethodhashighprecisionandthecomputationiseffcient.

简介：Thispaperfocusesontheflowcharacteristicandlocalresistanceofnon-Newtonianpowerlawfluidinacurved90°bendpipewithcircularcross-sections,whicharewidelyusedinindustrialapplications.Byemployingnumericalsimulationandtheoreticalanalysisthepropertiesoftheflowandlocalresistanceofpowerlawfluidunderdifferentworkingconditionsareobtained.ToexplorethechangeruletheexperimentiscarriedoutbychangingtheReynoldsnumber,thewallroughnessanddifferentdiameterratioofelbowpipe.ThevariationofthelocalresistancecoefficientwiththeReynoldsnumber,thediameterratioandthewallroughnessispresentedcomprehensivelyinthepaper.TheresultsshowthatthelocalresistanceforcecoefficienthardlychangeswithReynoldsnumberofthepowerlawfluid;thewallroughnesshasasignificantimpactonthelocalresistancecoefficient.Asthepipewallroughnessincreasing,thecoefficientoflocalresistanceforcewillincrease.Themainreasonoftheinfluenceoftheroughnessonthelocalresistancecoefficientistheincreaseoftheeddycurrentregioninthepowerlawfluidflow,whichincreasesthekineticenergydissipationofthemainflow.Thispaperprovidestheoreticalandnumericalmethodstounderstandthelocalresistancepropertyofnon-Newtonianpowerlawfluidinelbowpipes.

简介：Inthispaper,weareconcernedwiththeexistenceofperiodicsolutionsofsecond-ordernon-autonomoussystems.ByapplyingtheSchauder'sfixedpointtheoremandMiranda'stheorem,anewexistenceresultofperiodicsolutionsisestablished.

简介：最近的实验[1]在superelastic的导致压力的阶段转变揭示了宏观的领域模式的许多新现象多晶的NiTi试管在张力的装载期间。新现象与一个螺旋状的领域，到柱体的从螺旋的领域拓扑学转变，域前面分叉和领域模式的负担路径依赖的形成包括变丑不稳定性。在这份报纸，我们与nonconvex种类精力作为有弹性的连续统为多晶体建模[2]并且采用非局部的种类坡度精力说明散开的领域前面的精力。我们在由一个非局部的有限元素方法的张力的装载下面在试管模仿平衡领域模式和他们的进化(女性)。域模式的观察负担路径依赖和拓扑学转变由于试管系统的热力学的metastability，这被揭示。计算也证明试管墙厚度在领域模式上有重要效果：与固定材料性质和界面的精力密度，大试管墙厚度导致一个长、细长的螺旋状的领域并且圆柱域的前面的严重分叉。

简介：AclassofnonlinearparabolicequationonapolygonaldomainΩR2isinves-tigatedinthispaper.Weintroduceafiniteelementmethodonoverlappingnon-matchinggridsforthenonlinearparabolicequationbasedonthepartitionofunitymethod.Wegivetheconstructionandconvergenceanalysisforthesemi-discreteandthefullydiscretefiniteelementmethods.Moreover,weprovethattheerrorofthediscretevariationalproblemhasgoodapproximationproperties.Ourresultsarevalidforanyspatialdimensions.Anumericalexampletoillustratethetheoreticalresultsisalsogiven.

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简介：在这篇文章，我们由使用突然地最大的功能用非光滑的核和某些多线性的整流器的围住的海角为多线性的单个积分获得加权的标准估计。

简介：这份报纸涉及BMO功能和multilinear的某些multilinear整流器有非光滑的核的单个不可分的操作员。由突然地最大的功能估计，为这种整流器的加权的标准不平等被建立。

简介：Theplasticanisotropyofsheetmetalisusuallycausedbypreferredorientationofgrains,developedbymechanicaldeformationandthermaltreatment.Inthepresentstudy,aTaylor-likepolycrystalmodelsuggestedbyAsaroandNeedlemanisappliedtoinvestigatetheevolutionoftheanisotropicbehaviorofafacecenteredcubic(FCC)polycrystallinemetal,whichithasundergoneaplane-straincompressionthatrationallysimulatesthecoldrollingprocessofFCCpolycrystallinepurealuminium.ByusingtheTaylor-likepolycrystalmodel,polefiguresareobtainedtodescribethetexturedevelopmentofpolycrystallineaggregateafterplane-straincompression,andthentheplasticanisotropyofpolycrystallineaggregateisevaluatedbystretchingthepolycrystallineaggregateindifferentdirectionintermofyieldstress.Accordingtotheresults,thecontoursoflongitudinalflowstressinthree-dimensionalorientationspacearegivenandanalyzed.ExperimentresultssimilartothepredictionofplanaranisotropycanbefoundintheliteraturewrittenbyTakahashietal.thatindirectlyshowthecorrectnessofthepredictionofnon-planarplasticanisotropybythisanalysis.

简介：在这篇文章，我们得到non-selfsimilar基本在另一种看法能量守恒定律飘动，它与平常的自我类似的转变不同。答案有不同全球结构。这篇文章被划分成三部分。第一部分是介绍。在第二部分，我们讨论non-selfsimilar基本波浪和他们二维的能量守恒定律的一个班的相互作用。在这种情况中，我们考虑起始的断绝是有u+的抛物线的盒子>0，当明确的non-selfsimilar变成稀薄波浪能被获得时。在第二部分，我们考虑盒子u+的答案结构<0。新答案结构被在不同基本波浪之间的相互作用获得，并且将继续与另外的状态交往。全球答案将与一种尺寸的状况很不同。

简介：Inthepresentworktheeffectofthepowerlawexponentofpower-lawfluidandnon-Darcynumberofnon-Darcyflowonstabilityofnaturalconvectioninporousmediaarestudied.Thecomputationanalysisofeffectofpowerlawexponentofpower-lawfluidandnon-Darcynumberofnon-DarcyflowintherectangularductonthetransitionRayleighnumberRa^*,whichmeanstheconvectivemodeltransitingfromstationarystatetoperiodicsolution.Theducthasfilledaporousmediumsaturatedwiththepower-lawnon-NewtonianfluidorNewtonianfluidfornon-Darcyflow,inwhichthereisuniforminternalheatgenerationperunitvolumeq.InthispapertherelationshipbetweenthetransitionRayleighnumberRa^*andthepower-lawexponentn,Ra^*andnon-DarcynumberBe,areshown.tothesetwoaspects,thetransitionroutefromsteadytochaoticcovectionisalsoobtained.

简介：AccordingtotheanalyticalcharacteristicsofcubicBsplinefunction,suchascompactnessanddiscontinuoussmoothness,twomethods,GlobalintegralmethodandAssemblingmethodareproposedtocalculatethenon-linearstiffnessmatrixinthesplinefiniteelementmethod.TheGlobalintegralmethodtransformstheintegraloftheproductofsplinefunctionsintothesumofboundarydataoftheproductbyintegralbyparts.TheAssemblingmethodusesthecompactnesscharacteristicsofthesplinefunction,reducesthen+3orderstiffnessmatrixinunitintervaltothe4ordermatrix,andthenobtainstheglobalmatrixbyassemblingthesmallones.Thetwoproposedmethodsareclearintheoryandeasytoberealizedbycomputerprogram,whichcaneffectivelyimprovetheefficiencyofthealgorithmfornonlinearsplineelementmethod.