Form invariance and noether symmetrical conserved quantity of relativistic Birkhoffian systems

IntroductionIn 1 92 7,theAmericanmathematicianG .D .BirkhoffmadeprimaryresearchesonBirkhoffiandynamics[1].In 1 983,theAmericanphysicistR .M .SantillistudiedthetransformationtheoryofBirkhoffequationsandgeneralizationofGalileirelativity ,andsummarizedcomprehensivelytheoriginofBirkhoffequationsandthelaterstudiesonthem[2 ].Since 1 992 ,theChinesemechanicianMeiFeng_xianganditsco_workershaveconstructedthedynamicsofBirkhoffiansystemonthebasisofRefs.[1 ,2 ] ,andgavethebasictheoreticalframe[3 - …     

Nonlinear faraday waves in a parametrically excited circular cylindrical container

IntroductionIn 1 83 1 ,Faraday[1]reportedhisexperimentalobservationofsurfacewavesindifferentfluidscoveringahorizontalplatesubjectedtoaverticalvibration ,andheobservedthesurfacestandingwavesoffluidsliketheteethofaveryshortcoarsecomb .Heremarksthatthesesurfacewaveshaveafrequencyequaltoonehalfthatoftheexcitation .ThisisthefamousFaradayexperiment.WedesignatethosefluidsurfacewavesformedbyverticallyexcitationandhaveafrequencyequaltoonehalfthatoftheexcitationasFaradaywaves.FollowingthisproblemMatth…     

ON THE MULTIPLE-ATTRACTOR COEXSTING SYSTEM WITH PARAMETER UNCERTAINTIES USING GENERALIZED CELL MAPPING METHOD

I.IntroductionOneofthedolllinalltchaructcristicsofNon-lillcarsystemsistheboc-uniquenessoftherespollsef(7ragivensystemptlrallleter.Eacllsic'ldystiltcisallattrilctoj'baviilgitsownwalkinOf':lttrilCt1OllillpllaSCSpttCC.Allattl'tCtL)1'1flaybaflXCdl,Oillt,b1flitCyCIC,1llVIlriilllttol-uS,strtlbgeatti'ilctor.1b13riictlcLllifpl7llcatit)ns,oillyollcoj'theseb1uIti13Icattrilt')1-sisof'illtorestLllldcol'rcsl,olldstotilesalt,of>cl'iltlollilll'cglL)IIof'tilesystcllls,ifbdtileolll(:rstireustlilll…     

The unified elastic-viscosic-plastic theory of solids

1ThePostulatesandillustrationsofUnifiedElastic-Viscosic-PlasticTheoryWhenthesolidsareundertyleexternalexcitations,theresponseswillexistintheinterior.Inthesolid,therearethreemainstates:elastic,plasticandviscosic.Itisimpossibletostudythesebehavioursbymolecularmethod,butthesebehaviourscanberesearchedfromthepointofviewoflargescale.Inthispaper,weconsidertheexcitationbyexternalworkonly,theresponsesarestrainenergyandtheheatwasted,asinFig.1.InFig.1(a),theworkratebyexternalforceisW,onepartofwhichis…     

MASS TRANSPORT IN SOLID TUMORS(Ⅱ)──DRUG DELIVERY

I.Introducti0nlnPart(l),thethree-porous-medium1nodeIisdevelopedtosimulatethebLliddynan1icproblem0ftulbormicrocirculation.Thepressureandvel0citypr0fileofblo0d,lyn1phandinterstitialI1uidarcobtaincLl.Basedol1thescsoltltions,tl1ctral1sl,ortpr0ccss()finbbUbOg10bUlb1G(lgG)anditSal1tigCb-bindil1gfraglbCI1t(Fab)iI2thCl1Orn1al-tlSSuC-surroundcdtunlorareana1yzedibthispapcl'.Thel1nitcclcn1el1tlbetl1odisuscdtos0lvethcdit1'usion-convcctiollequatiol1stogcttbccol1cel1trationproIbeoflgGandFabil1bloo…     

NUMERICAL SIMULATION OF COMPLICATED PIPEFLOW WITH k-εMODEL

l.IntroductionInenginecringandnaturallie1ds.therearemanycomplicatedpipel1owswlthcomplexboundariesandobstructionsinsidethepipesimultaneously.IfthesimuIationofabodyconforminggridisuscdtosolvCthcscprobIems.itwouldbeveryIaboriousanddif1iculttoinsurestabilityandconvergence.Thus.weneedasimplcandapplicabIe1nethodtosimuIatctheboundariesapproximatelysothatk--emodetmaybeused.Ladder-1ikcmeshisusedinthispapertoreplacecomplexboundaryconditions.Meanwhile.blockoffmethodisusedforobstructedregion.II.Mathem…     

Qualitative study of cavitated bifurcation for a class of incompressible generalized neo-Hookean spheres

IntroductionIn 1 958,GentandLindleyobservedthephenomenonofsuddenvoidnucleationinsolidsexperimentallyintensioningahomogenousclose_grainedvulcanizedrubbercylinderforthefirsttime.ButthemathematicalmodelonvoidnucleationandgrowthhasnotbeendescribedasabifurcationproblembasedonthetheoryofnonlinearelasticmechanicsbyBall[1]until1 982 .Inrecentyears,manyinvestigationshavebeenmadeonthisaspect.Theproblemofcavitatedbifurcationforincompressibleisotropichyperelasticmaterialswithpower_lawtypehasbeeninvestig…     

The effective moduli of composite reinforced by spherical coating particles

1.IntroductionThecompositereinforcedbysphericalparticlesisanilllportantengilleel-lugmaterial.Itiswidelyusedinvariousfieldsuchasaviationandspaceflight.Withl'egardtoitsefttctivemodulusproblenl,maily1llodelsandmethodswereproposedillpilotyeal's.Somethed.eticalpredictionlbrnlulaehavebeenobtailledtitpresent,whicharequiteinagreementwithexpel.imelltalresultslll.FIowcver,becausedemandingl'orcompositeincllglneeri11gtlpplicationbecomeslargel'daybyday,theSurftlcecoatillgofreinforcednlatel.iLtlincomposit…     

A DIVIDED REGION VARIATIONAL PRINCIPLE OF A -Ω METHOD FOR 3-D EDDY CURRENT PROBLEMS

I.IntroductionTheanalysisoftheeddycurrentfieldisanimportantprobleJllintheelectromagneticinductionheatingandtheelcctronlagneticdesignoftheelectricmotorandthetransforlllcr.Chartetal.lllandSinlkinctal.c1tlrstsolvedtheeddycurrentproblemusingamagneticvectorpotentialAandanglcctricscillilrpotential(p(calledA,(Pnlcthod).Tllcn*Browlll3117rol,oscdT-Qmethodwhich"scsa1llilgllcticscalarpotentialandanelectricvectorpotelltial.I-orthet'initeelenlclltallalysis,Chillly1btisstudiedsystematicallythet'ullctiol…     

IMPULSIVE CONTROL FOR THE STABILIZATION AND SYNCHRONIZATION OF LUR'E SYSTEMS

IntroductionInpractice ,thereexistmanyexamplesofimpulsivecontrolsystems (seeRefs.[1 ,2 ,3 ] ) .Recently ,impulsivecontrolhasbeenwidelyusedtostabilizeandsynchronizechaoticsystems(seeRefs.[4～ 1 5] ) .Forexample,thepredictivePoincarecontrol[4 ]andtheoccasionalproportionalfeedbackcontrol[5 ]aretwoimpulsivecontrolschemeswithvaryingimpulsiveintervals.Yangetal.inRefs.[7,1 1 ]studied ,respectively ,thestabilizationandsynchronizationofaclassofchaoticsystemscalledLorenzsystems .YangandChuainRef.[1 …     

Dual solutions of time-dependent magnetohydrodynamic stagnationpoint boundary layer micropolar nano?uid ?ow overshrinking/stretching surface?

正H. B. LANJWANI1, M. S. CHANDIO1, M. I. ANWAR2,S. A. SHEHZAD3,, M. IZADI4     

Mathematical modeling and numerical computation of thee?ective interfacial conditions for Stokes flow onan arbitrarily rough solid surface?

正A. T. TRAN1, H. LE QUANG2,, Q. C. HE2,3, D. H. NGUYEN1     

Singular perturbation for a class of coupled chemical reaction and diffusion systems

I.IntroductionTherearemanyresu1tsaboutsingularperturbationfore1lipticandparabolicequations(orsystem)l"2l.AsfOrsingularlyperturbedreactionanddiffusionsystem,moststudiesareobtuinedundertheassumptionofnocoupledterm13].However,thecoupledsystemsusua1lyoccurredinapplicationssuchassimplefoodchainwithdiffusionandgroupdefencesystem(!landchemicalreactiondiffusionsysteml'landsoon.It'smorecomplicatedtodealwithsuchproblems.Andmoreover,thesolutionofthesameproblemmaypossessdifferentbchaviorsaccordingtothep…     

The asymptotic solution to the antiplane shear dynamic crack-tip field in an elastic strain-softening viscoplastic material

ProjectsupportedbytheNationalNaturalScienceFoundationofHeilongiianginP.R.ChinaI.Introductionlnthatengineering,thereisakindofmaterials.Somesofteninganddamagephenomenaa1waysappearwhenthedeformationbecomeslargeenough.Forstudyingthisprocess.asofteningmode1oft…     

Large deformation of circular membrane under the concentrated force

1　AxisymmetryLargeDeformationofCircularMembraneTheproblemofaxisymmetrylargedeformationofcircularmembraneisonewithpracticalsignificance.Hencky (1 91 5) [1]gaveasolutionofpowerseriesundertheuniformforce ;Alekseev (1 951 ) [2 ]gaveananalyticsolutionofcircularmembraneundertheconcentratedforce ,whichisexactonlywhenν=1 3 .ChienWei_zangetal.(1 981 ) [3]gaveananalyticsolutionofthesymmetricalcircularmembraneundertheactionofuniformlydistributedloadsinitscentralportion .Asfortheresultsorotherauthor…     

CONTROLLABILITY OF A CLASS OF HYBRID DYNAMIC SYSTEMS (Ⅰ)—BASIC PROPERTIES AND PRELIMINARY RESULTS

IntroductionHybriddynamicsystemscombinebothcontinuoustimedynamicsanddiscreteeventdynamics.Thetwodynamicsinteractoneachothersuchthatthesystemsperformmorecomplexdynamicbehaviors .Switchedlinearsystemsareanimportantclassofhybriddynamicsystemswhichconsistofafamilyoflineartime_invariantsystemsandaswitchinglawspecifyingtheswitchingbetweenthem .Inrecentyears ,therehasbeenincreasinginterestinthecontrolproblemsofswitchedsystemsduetotheirsignificancebothintheoryandapplications[1～ 2 1] .Thusfar,therese…     

Bio-Marangoni convection ?ow of Casson nanoliquid througha porous medium in the presence of chemicallyreactive activation energy?

正J. K. MADHUKESH1, G. K. RAMESH2, B. C. PRASANNAKUMARA1,S. A. SHEHZAD3,, F. M. ABBASI4     

Some exact results concerning thermoelastic properties of hollow sphere composites

1.IntroductionAsakindofwidelyusedlowdensitymaterials,compositeconsistingofamatrixanddistributedhollowsphereshaveattractedIncreasingresearchinterest.Relatedworkswhicharefocusedonthetheoreticalpredictionof.theeffectiveelasticmoduliofsuchcompositescanbefoundinLeeandWestmannl'1,QiuandWengl=],HuangandGibsonl31aswellasChercauoietal.HI.HuangandGibson13]havealsocarriedoutanexperimentalinvestigationonmechanicalbehavioursofthecomposites.Thepresentpapercontinuestheseinvestigationsandisfocusedonfindi…     

MAXIMAL ELEMENTS FOR G_B-MAJORIZED MAPPINGS IN PRODUCT G_CONVEX SPACES AND APPLICATIONS (Ⅱ)

IntroductionThispaperisacontinuumoftheprecedingpaperofauthor[1] .Fortheconceptsandnotationsofgeneralizedconvex (orG_convex)space ,CG_convexspace,theclassB(Y ,X)ofbetteradmissiblemappings ,GB_mappings,GB_majorizedmappingsandtherelatednotions,thereadermayconsultRef.[1].Themainaimofthispaperistogivesomeapplicationsoftheexistencetheoremsofmaximalelementsobtainedbyauthor[1] .ByapplyingourresultsinRef.[1],wegivesomecomponentversionofcoincidencetheoremandFan_Browdertypefixedpointtheorems .Somee…