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简介：Inthispaper,thewaves’breakingintheleewavesissuccessfullysimulatedbytheatmosphericmesoscalenumericalmodelwithasecond-ordertur-bulentclosure.Itisfurtherprovedthattheturbulenceinthewave-breakingregionplaystheroleofintensemixingfortheaveragefield,whichleadstothetrappingofupwardpropagatingwavesandthuspromotesthedevelopmentofthedownslopewind.Theturbulentstructureinthewave-breakingregionisdiscussedandthefol-lowingconclusionsareobtained:(1)Inthewave-breakingregion,theturbulentheatfluxestransferfrominsidetooutsideandtheturbulentmomentumfluxestransferfromoutsidetoinside.(2)Inthewave-breakingregion,theturbulentenergymainlycomesfromthewindshearandthebuoyancypromotestheturbulentdevelopmentonlyinpartoftheregion.(3)Intheupperpartofthewave-breakingregion,theturbulentmomentumfluxesbehaveasacounter-gradienttransfer.(4)Theturbulentmixinginthewave-breakingregionisnon-local.

简介：Aunifiedperturbationtheoryisdevelopedhereforcalculatingsolitarywavesofallheightsbyseriesexpansionofbaseflowvariablesinpowersofasmallbaseparametertoeighteenthorderfortheone-parameterfamilyofsolutionsinexactform,withallthecoefficientsdeterminedinrationalnumbers.Comparativestudiesarepursuedtoinvestigatetheeffectsduetochangesofbaseparameterson(i)theaccuracyofthetheoreticallypredictedwavepropertiesand(ii)therateofconvergenceofperturbationexpansion.Twoimportantresultsarefoundbycomparisonsbetweenthetheoreticalpredictionsbasedonasetofparametersseparatelyadoptedforexpansioninturn.First,theaccuracyandtheconvergenceoftheperturbationexpansions,appraisedversustheexactsolutionprovidedbyanearlierpaper[1]asthestandardreference,arefoundtodepend,quitesensitively,onchangesinbaseparameter.Theresultingvariationsinthesolutionarephysicallydisplayedinvariouswavepropertieswithdifferencesfounddependentonwhichproperty(e.g.thewaveamplitude,speed,itsprofile,excessmass,momentum,andenergy),onwhatrangeinvalueofthebase,andontherankoftheordernintheexpansionbeingaddressed.Secondly,regardingconvergence,thepresentperturbationseriesisfounddefinitelyasymptoticinnature,withtherelativeerrorδ(n)(therelativemean-squaredifferencebetweensuccessiveordersnofwaveelevations)reachingaminimum,δm,ataspecificorder,n=nm,bothdependingonthebaseadopted,e.g.n=11-12basedonparameterα(waveamplitude),nm,β=15onβ(amplitude-speedsquareratio),andnm.∈=17on∈(wavenumbersquared).Theasymptoticrangeisbroughttocompletionbythehighestorderofn=18reachedinthiswork.

简介：Solitarywavesinrelativisticelectromagneticplasmasareobtainednumerically.Thelongitudinalmomentumofelectronshasbeentakenintoaccountintheproblem.Itisfoundthatinthemovingframewithelectromagneticfieldpropagatingthesolitarywavescanexistinbothcases,wherethevectorpotentialfrequencyislargerorsmallerthantheplasmacharacteristicfrequency.

简介：Asystematicprocedureisproposedforobtainingsolutionsforsoli-tarywavesinstratifiedfluids.Thestratificationofthefluidisassumedtobeexpo-nentialorlinear.Itscomparisonwithexistingresultsforanexponentiallystratifiedfluidshowsagreement,anditisfoundthatfortheoddseriesofsolutionsthedirec-tionofdisplacementofthestreamlinesfromtheirasymptoticlevelsisreversedwhenthestratificationischangedfromexponentialtolinear.Finallytheinteractionofsolitarywavesisconsidered,andtheKorteweg-deVriesequationandtheBoussinesqequationarederived.Thustheknownsolutionsoftheseequationscanberehedupontoprovidetheanswerstotheinteractionproblem.

简介：我们为分级的波浪考虑反的散布问题。我们分析反的出生的系列的集中并且在二和三种尺寸为球状地对称的媒介的案例在数字模拟学习它的使用。

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简介：Inliterature,nonlineartravelingwavesinelasticcircularrodshaveonlybeenstudiedbasedonsinglepartialdifferentialequation(pde)models,andhereweconsidersuchaproblembyusingamoreaccuratecoupled-pdemodel.WederivetheHamiltonianfromthemodelequationsforthelongfinite-amplitudewaveapproximation,analyzehowthenumberofsingularpointsofthesystemchangeswiththeparameters,andstudythefeaturesofthesesingularpointsqualitatively.Variousphysicallyacceptablenonlineartravelingwavesarealsodiscussed,andcorrespondingexamplesaregiven.Inparticular,wefindthatcertainwaves,whichcannotbecourltedbythesingle-equationmodel,canarise.

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简介：ThereflectionandtransmissionofLambwavesatoverlapjointsareresearchedbythenumericalmethodandtheexperiments.ThenumericalmethodisusedtosimulatethereflectionandtransmissionofLambwavesatweldswithdifferentwidthson2mm-thickstainlesssteelplates.Thereflectionandtransmissioncoefficientsarecalculatedaswell.Whentheweldswidthislessthan4mm,aquasi-linearcorrelationisobservedbetweenthereflectioncoefficientofSOmodeandtheweldwidth.Incontrasttotheweldwidth,boththegapbetweentwoplatesandthereinforcementheightofwelddonothaveobviouseffectonthereflectioncoefficient.Basedontheresults,weproposethattheweldwidthcouldberapidlymeasuredthroughexaminingtheechoamplitudeofSOmode.Experimentsfurtherconfirmthequasilinearcorrelationandthefeasibilityofourproposedmethod.

简介：Inthispaper,weconsiderFPUlatticeswithparticlesofunitmass.Thedynamicsofthesystemisdescribedbytheinfinitesystemofsecondorderdifferentialequationsqn=U′(qn+1-qn)-U′(qn-qn-1),n∈Z,whereqndenotesthedisplacementofthen-thlatticesiteandUisthepotentialofinteractionbetweentwoadjacentparticles.InspiredbypreviousworkduetoSzulkinandWeth（Groundstatesolutionsforsomeindefinitevariationalproblems,J.Funct.Anal.,257（2009）,3802-3822）,weinvestigatetheexistenceofsolitarygroundwaves,i.e.,nontrivialsolutionswithleastpossibleenergy.

简介：Inthispaper,weinvestigateaclassofHamiltoniansystemsarisinginnonlinearcompositemedia.Bydetailedanalysisandcomputationweobtainadecayingestimatesonthesemigroupandprovetheorbitalinstabilityoftwofamiliesofexplicitsolitarywavesolutions(slowfamilyinanisotropiccaseandsolitarywavesinisotropiccase),whichtheoreticallyverifytherelatedguessandnumericalresults.

简介：Anewapproachtothetheoryoffinite-amplitudestandingwavesinproposed,andfoumulasofsteadywaveformsarederivedfromthefundamentalequationsofhydrodynamios,asanendeavortosettlethelong-timedisputablesituation.

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简介：Thetransformationmethodtocontrolwaveshasreceivedwidespreadattentioninelectromagnetismandacoustics.However,thismachineryisnotdirectlyapplicabletothecontrolofelasticwaves,becauseithasbeenshownthattheNavier’sequationdoesnotusuallyretainitsformundercoordinatetransformation.Inthisletter,weprovetheforminvarianceoftheNavier’sequationundertheconformalmappingbasedontheHelmholtzdecompositionmethod.Theneededmaterialparametersareprovidedtomanipulateelasticwaves.Thevalidityofthisapproachisconfirmedbyanactivestealthdevicewhichcandisguisethesignalsourcebychangingitsposition.Experimentalverificationsandpotentialapplicationsmaybeexpectedinnondestructivetesting,structuralseismicdesignandotherfields.

简介：Thewave-seabedinteractionissueisofgreatimportanceforthedesignoffoundationaroundmarineinfrastructures.Mostpreviousinvestigationsforsuchaproblemhavebeenlimitedtouncoupledoronewaycoupledmethodsconnectingtwoseparatedwaveandseabedsubmodelswiththecontinuityofpressuresattheseabedsurface.Inthisstudy,astronglycoupledmodelwasproposedtorealizebothwaveandseabedprocessesinasameprogramandtocalculatethewavefieldsandseabedresponsesimultaneously.Theinformationbetweenwavefieldsandseabedfieldswerestronglysharedandthusresultsinamoreprofoundinvestigationofthemechanismofthewave-seabedinteraction.Inthisletter,thewaveandseabedmodelswerevalidatedwithpreviousexperimentaltests.Then,asetofapplicationofpresentmodelwerediscussedinpredictionofthewave-inducedseabedresponse.Numericalresultsshowthewave-inducedliquefactionareaofcoupledmodelissmallerthanthatofuncoupledmodel.

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