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简介：IntheprocessofsolvingEulervectorsbasedonGNSShorizontalmovementfield,thenumberofestimatedparameterscanaffectEulervectorresults.Thisissueisanalyzedthroughtheoreticaldeductionandpracticalexampleinthispaper.Firstly,thedifferencebetweentheresultsofEulervectorsindifferentsolvingmodelsisdeduced.Meanwhile,basedonGNSShorizontalmovementfieldintheChinesemainlandfrom2004to2007,twocommonmodels(RRMandREHSM)areusedtodiscusstheimpactofsolvingmodelsonEulervectorsandthefollow-upstudy.Theresultshowsthatthemaximumvalueofthedifferenceinablock’sentirerotationcanreach2.6mm/a,andshouldnotbeignored.Therefore,theresultsofhorizontalmovementaredifferentusingdifferentkinematicblockmodels,andthisshouldbepaidmoreattentionintheanalysisofcrustalhorizontalmovement.

简介：作者为概括Euler数字E2n(x),建立一个明确的公式并且获得包含高顺序的Euler数字，Stirling数字，中央因素的数字和Riemann希腊语的第六个字母功能的价值的一些身份和一致。

简介：Basedonthetheoryofcalculusofvariation,somesuffcientconditionsaregivenforsomeEuler-LagrangcequationstobeequivalentlyrepresentedbyfiniteoreveninfinitemanyHamiltoniancanonicalequations.Meanwhile,somefurtherapplicationsforequationssuchastheKdVequation,MKdVequation,thegenerallinearEulerLagrangeequationandthecylindricshellequationsaregiven.

简介：Kizmaz[13]学习了差别顺序空格?∞(Δ)，c(Δ)，和c0(Δ)。几篇文章处理了哪个被围住的m-th顺序差别的序列的集合，对零会聚，或会聚。Altay和Ba?ar[5]并且Altay，Ba?ar，和Mursaleen[7]介绍了Euler顺序空格e(r)0，e(r)c，和e(r)∞分别地。这篇文章的主要目的是介绍空格e(r)0(Δ(m))，e(r)c(Δ(m))，并且e(r)∞(Δ(m))由其m(th)命令差别在Euler空格的所有序列组成e(r)0，e(r)c，和e(r)∞分别地。而且，作者给一些拓扑的性质和包括关系，并且决定空格e(r)的α-，β-，和γ-duals0(Δ(m))，e(r)c(Δ(m))，并且e(r)∞(Δ(m))，并且空格e(r)的Schauder基础0(Δ(m))，e(r)c(Δ(m))。文章的最后节在顺序空间e(r)c(Δ(m)上被奉献给一些矩阵地图砰的描述)。给词调音：顺序m的差别顺序空格；Schauder基础；α-，β-，和γ-duals；矩阵地图砰

简介：TheregularsolutionsoftheisentropicEulerequationswithdegeneratelineardampingforaperfectgasarestudiedinthispaper.Andacriticaldegeneratelineardampingcoefficientisfound,suchthatifthedegeneratelineardampingcoefficientislargerthanitandthegasliesinacompactdomaininitially,thentheregularsolutionwillblowupinfinitetime;ifthedegeneratelineardampingcoefficientislessthanit,thenundersomehypothesesontheinitialdata,theregularsolutionexistsglobally.

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简介：1Euler—Poisson积分的几种求值方法1．1运用变量代换求值

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简介：提出几类Euler（欧拉）型微分方程。借助变量替换法、线性化法、降阶法、交换变量位置法及复合函数求导法则，转化为可求解的Euler方程。论证它们的可积性，扩大微分方程的可积范围。给出求解的方法及通积分的表达式．

简介：基于Euler梁变形理论,建立功能梯度材料细长梁静力弯曲的控制方程,假设功能梯度材料性质只沿梁厚度方向变化,且服从幂函数规律.通过理论分析和比较,寻找均匀梁和非均匀梁的控制方程的相似性,将功能梯度材料细长梁的弯曲求解转化为均匀梁的弯曲求解与相似转换系数的计算,从而为功能梯度Euler梁的弯曲分析提供便捷的途径.

简介：Inthispaper,theuniquenessofstationarysolutionswithvacuumofEulerPoissonequationsisconsidered.Throughanonlineartransformationwhichisafunctionofdensityandentropy,thecorrespondingproblemcanbereducedtoasemilinearellipticequationwithanonlinearsourcetermconsistingofapowerfunction,forwhichtheclassicaltheory[4]'[9]oftheellipticequationsleadstheauthorstotheuniquenessresultundersomeassumptionsontheentropyfunctionS(x).Asanexample,theauthorsgettheuniquenessofstationarysolutionswithvacuumofEuler-PoissonequationsforS(x)=|x|θandθ∈{0}∪[2(N-2),+∞).

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简介：作者主要学习追踪算法到稳定的Euler系统和等温的Euler系统的波浪前面产生的弱答案的差别。在起始的数据足够地具有的假设下面小全部的变化，稳定的Euler系统和等温的超声的流动的系统的解决方案之间的差别能被起始的不安的全部的变化的立方体围住，这被证明。

简介：WestudytheexistenceanduniquenessproblemforthenonhomogeneouspressurelessEulersystemwiththeinitialdensitybeingaRadonmeasure.Ouruniquenessresultisobtainedinthesamespaceastheexistencetheorem.Besides,bycounterexampleweprovethatHuang-Wang'senergyconditionisalsonecessaryforournonhomogeneoussystem.

简介：应用Jameson的有限体积法求解二维Euler方程，模拟叶栅跨音速流场，并运用当地时间步长和隐式残差平均技术加快收敛速度，计算结果与理论解和试验数据吻合良好，本文比较了采用两种不同的通量计算公式的计算结果。

简介：Inthispaper,theauthorsdesignboundaryfeedbackcontrollersattheinteriornodetostabilizeastar-shapednetworkofEuler-Bernoullibeams.Thebeamsarepinnedeachother,thatis,thedisplacementsofthestructurearecontinuousbuttherotationsofthebeamsarenotcontinuous.Thewell-posed-nessoftheclosedloopsystemisprovedbythesemigrouptheory.Theauthorsshowthatthesystemisasymptoticallystableiftheauthorsimposeabendingmomentcontroloneachedge.Finally,theauthorsderivetheexponentialstabilityofthesystem.

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简介：WeproposeanefficientandrobustalgorithmtosolvethesteadyEulerequa-tionsonunstructuredgrids.ThenewalgorithmisaNewton-iterationmethodinwhicheachiterationstepisalinearmultigridmethodusingblocklower-uppersymmetricGauss-Seidel(LU-SGS)iterationasitssmootherToregularizetheJacobianmatrixofNewton-iteration,weadoptedalocalresidualdependentregularizationasthereplace-mentofthestandardtime-steppingrelaxationtechniquebasedonthelocalCFLnumberTheproposedmethodcanbeextendedtohighorderapproximationsandthreespatialdimensionsinanatureway.Thesolverwastestedonasequenceofbenchmarkprob-lemsonbothquasi-uniformandlocaladaptivemeshes.Thenumericalresultsillustratedtheefficiencyandrobustnessofouralgorithm.

简介：TheproblemofdistributedcoordinatedtrackingcontrolfornetworkedEuler-Lagrangesystemswithoutvelocitymeasurementsisinvestigated.Undertheconditionthatonlyaportionofthefollowershaveaccesstotheleader,slidingmodeestimatorsaredevelopedtoestimatethestatesofthedynamicleaderinfinitetime.Tocopewiththeabsenceofvelocitymeasurements,thedistributedobserverswhichonlyusepositioninformationaredesigned.Basedontheoutputsoftheestimatorsandobservers,distributedtrackingcontrollawsareproposedsuchthatallthefollowerswithparameteruncertaintiescantrackthedynamicleaderunderadirectedgraphcontainingaspanningtree.Itisshownthatthedistributedobserver-controllerguaranteesasymptoticalstabilityoftheclosed-loopsystem.Numericalsimulationsareworkedouttoillustratetheeffectivenessofthecontrollaws.