简介:Thevariationalprinciplesfor1-Dunsteadycompressibleflowinadeformingtubederivedinapreviouspaper^[1]areimprovedessentiallybyreconstructingtheinitial/final-integraltermsaccordingtoanewmethodsuggestedinarecentpaper[2],Asaresult,theinherentshortcomingofvariationalprinciplesofbeingunabletoadmitphysicallyrationalinitial/final-valueconditionsininitial/boundary-valueproblemsissuccessfullyeliminated.Thus,anewtheoreticalbasisforthetime-spacefinite-elementanalysisisprovided.
简介:这份报纸为1-D板方程wtt+wxxxx+q处理锋利的observability不平等的问题(t,x)0边界与二打的w=调节w=wxx=0或w=wx=0,并且q(t,x)是一个合适的潜力。锋利的observability常数具有的作者表演订$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)$\exp\left({C\left\|q\right\|_\infty^{\tfrac{2}{7}}}\right)为q1。导出需要的observability不平等的主要工具是全球Carleman不平等,基于一个新点为第四个顺序板操作员的明智的不平等。
简介:Solutionstoapiezoelectrichalf-planewithafixedconductorsurfaceelectrodesubjectedtotwogeneralizedsingularities(linedislocationand/orlineforceandfreecharge)arepresented.Coulombforcesactingonthesingularitiesduetotheboundarypolarizationchargesofmediumandtheinductioncharg-esofconductorelectrodeareanalyzedindetail.Theinteractionbetweenthetwosingularitiesisalsoanalyzednumerically.ResultsshowthatCoulombforceswillbecomeimportantasthefreechargeapproachestheboundaryortwosingularitiesmoveclosely.
简介:Inthispaper,themultiplestochasticintegralwithrespecttoaWienerD’-processisdefined.AndalsoitisshownthatforaD’-valuednonlinearrandomfunctionalthereexistsasequenceofmultipleintegralkernelssuchthatthenonlinearfunctionalcanbeexpandedbyseriesofmultipleWienerintegralsoftheintegralkernelswithrespecttotheWienerD’-process.
简介:Abstract.Inthispaper,weintroduceanewapproachtocharacterizetheisomor-phismsofcirculantdigraphs.Intermsofthismethod,wecompletelydeterminetheisomorphicclassesofcirculantdigraphsofdegree3.Inpsrticular,wecharacterizethosecirculantdigraphsofdegree3whichdon''tsatisfyJkdAm''sconjectttre.
简介:让f:M→R~3是有非退化的秒的面向的表面基本形式。我们由H和K表示它的吝啬的弯曲和高斯弯曲。然后f的Laguerre体积,由L(f)=∫(H~2定义-K)/KdM,一在Laguerre转变下面不变。功能的L的批评表面被称为Laguerre最小的表面。在这篇论文,我们学习在由使用拉久雷·高斯的R~3的最小的表面印射的theLaguerre。这被知道最小的表面有的genericLaguerre有一样的高斯地图的双Laguerre最小的表面。在这篇论文,我们证明不是Laguerre的任何表面最小被它的LaguerreGaussmap特别地决定。我们也证明圆范围是在R~3的唯一的紧缩的Laguerre最小的表面。并且我们与消失的Laguerre形式在R~3给表面的一条分类定理。
简介:Inthispaper,weprovethatifGisaplanegraphwithout4-,5-and7-circuitsandwithoutintersectingtriangles,thenforeachfacefofdegreeatmost11,any3-coloringoftheboundaryoffcanbeextendedtoG.ThisgivesapositivesupporttoaconjectureofBorodinandRaspaudwhichclaimsthateachplanegraphwithout5-circuitsandintersectingtrianglesis3-colorable.
简介:Multilayerblackphosphorus(BP)nanoplateletsofdifferentthicknesseswerepreparedbytheliquidphaseexfoliationmethodanddepositedontoyttriumaluminumgarnetsubstratestoformsaturableabsorbers(SAs).Thesewerecharacterizedwithrespecttotheirthickness-dependentsaturableabsorptionpropertiesat3μm.TheBP-SAswereemployedinapassivelyQ-switchedEr:Lu2O3laserat2.84μm.ByusingBPexfoliatedindifferentsolvents,stablepulsesasshortas359nsweregeneratedatanaverageoutputpowerofupto755mW.Therepetitionrateintheexperimentwas107kHz,correspondingtoapulseenergyof7.1μJ.TheseresultsprovethatBP-SAshaveagreatpotentialforopticalmodulationinthemid-infraredrange.
简介:Copolymerizationofstyrene(St)andisoprene(IP)wascarriedoutwithacatalystsystemcomposeaofanhydrouslanthanidechloridehexamethylphosphoramidecomplex(LnCl3·HMPA)andaluminumorganiccompound(AOC).Amongthecatalystsexamined,catalystNdCl3·HMPA/AI(i-Bu)3showedahighactivityinthecopolymerizationundercertainconditionsgivingcopolymers(5%—15%Stcontent)withhighcis-1,4microstructureinIPunits(>95%).TheeffectsofHMPA/Ndmolarratio,Al/Ndmolarratio,monomer/Ndmolarratio,Stfeedratio,andthereactiontimeoncopolymerizationwereexaminedwiththiscatalyticsystem.Theobtainedcopolymerswerecharacterizedby^1Hand^13CNMRspectroscopiesandgel-permeationchromatography(GPC).