简介：

简介：Twenty-ninespeciesofbutterflieswerecollectedforobservationanddeterminationofthewingsurfacesusingaScanningElectronMicroscope(SEM).Butterflywingsurfacedisplaysstructuralanisotropisminmicro-,submicro-andnano-scales.Thescalesonbutterflywingsurfacearrangelikeoverlappingrooftiles.Therearesubmicrometricverticalgibbosities,horizontallinks,andnano-protuberancesonthescales.First-incline-then-dripmethodandfirst-drip-then-inclinemethodwereusedtomeasuretheSlidingAngle(SA)ofdropletonbutterflywingsurfacebyanopticalContactAngle(CA)measuringsystem.Relativelysmallerslidinganglesindicatethatthebutterflywingsurfacehasfineself-cleaningproperty.SignificantlydifferentSAsinvariousdirectionsindicatetheanisotropicself-cleaningpropertyofbutterflywingsurface.TheSAsonthebutterflywingsurfacewithoutscalesareremarkablylargerthanthosewithscales,whichprovesthecrucialroleofscalesindeterminingtheself-cleaningproperty.Butterflywingsurfaceisatemplatefordesignandfabricationofbiomimeticmaterialsandself-cleaningsubstrates.Thisworkmayofferinsightsintohowtodesigndirectionalself-cleaningcoatingsandanisotropicwettingsurface.

简介：

简介：IfdμistheFouriertransformofasmoothmeasure,dμonthehypersphereSn-1(n≥2)thethereexistsaconstantCdependentonlyonnsuchthat|dμ(y)|≤C(1+|y|)-(n-1)/2forally∈Rn.Inthispaper,weshowthattheabovestatementisfalsefornon-smoothmeasures.AndwepresentthecorrespondingestimationsfartheFouriertransformsofcertainnon-smoothmeasuresonSn-1.

简介：Thecontactanglesofdistilledwaterandmethanolsolutiononthewingsofbutterfliesweredeterminedbyavisualcontactanglemeasuringsystem.Thescalestructuresofthewingswereobservedusingscanningelectronmicroscopy,Theinfluenceofthescalemicro-andultra-structureonthewettabilitywasinvestigated.Resultsshowthatthecontactangleofdistilledwateronthewingsurfacesvariesfrom134.0°to159.2°.Highhydrophobicityisfoundinsixspecieswithcontactanglesgreaterthan150°.Thewingsurfacesofsomespeciesarenotonlyhydrophobicbutalsoresistthewettingbymethanolsolutionwith55%concentration.OnlytwospeciesinParnassiuscannotresistthewettingbecausethemicro-structure(spindle-likeshape)andultra-structure(pinnule-likeshape)ofthewingscalesareremarkablydifferentfromthatofotherspecies.Theconcentrationofmethanolsolutionfortheoccurrenceofspreading/wettingonthewingsurfacesofdifferentspeciesvariesfrom70%to95%.Afterwettingbymethanolsolutionfor10min,thedistilledwatercontactangleonthewingsurfaceincreasesby0.8°-2.1°,showingthepromotionofcapacityagainstwettingbydistilledwater.

简介：

简介：

简介：Thisisacontinuationofthepreviouspaper(6).TheauthorsproveHolderandL^pregularityofoperatorsconstructedfromtheobliquederivativeproblemis[6]byestablishingestimatesofpseudodifferentialoperatorswithparameters.

简介：

简介：Inthispaper,weestablishtheboundednessofcommutatorsofsingularintegraloperatorswithnon-smoothkernelsonweightedLipschitzspacesLipβ,ω.TheconditiononthekernelinthispaperisweakerthantheusualpointwiseH¨ormandercondition.

简介：Theauthorsconsidertheexistenceandregularityoftheobliquederivativeproblem:{Pu=finΩ,^→tu=gonэΩwherePisasoc~adorderellipticdifferentialoperatoronR^n,ΩisaboundeddomaininR^nand^→tisaunitvectorfieldonthebouudaryofΩ(whichmaybetangentialtotheboundary).Allaboveareassumedwithlimitedsmoothnees.TheauthorsshowthatsolutionuhasanellipticgainfromfinHolderspaces(Theorem1.1).TheauthorsobtainL^nregualrityofsolutioninTbeorem1.3,whichgeneralizestheresultsin[7]tothelimitedsmoothcase.Someoftheapplicationnonlinearproblemsarealsodiscussed.

简介：

简介：Inthispaper,thebehaviorforcommutatorsofaclassofbilinearsingularintegraloperatorsassociatedwithnon-smoothkernelsontheproductofweightedLebesguespacesisconsidered.BysomenewmaximalfunctionstocontrolthecommutatorsofbilinearsingularintegraloperatorsandCMO(Rn)functions,compactnessforthecommutatorsisproved.

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

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：LetT_1beasingularintegralwithnon-smoothkernelor±I,letT_2andT_4bethelinearoperatorsandletT_3=±I.DenotetheToeplitztypeoperatorbyT~b=T_1M~bI_αT_2+T_3I_αM~bT_4,whereM~bf=bf,andI_αisthefractionalintegraloperator.Inthispaper,weinvestigatetheboundednessoftheoperatorT~bontheweightedMorreyspacewhenbbelongstotheweightedBMOspace.

简介：Themicromorphologiesofsurfacesofseveraltypicalplantleaveswereinvestigatedbyscanningelectronmicros-copy(SEM).Differentnon-smoothsurfacecharacteristicsweredescribedandclassified.Thehydrophobicityandanti-adhesionofnon-smoothleafsurfaceswerequantitativelymeasured.Resultsshowthatthemorphologyofepidermalcellsandthemor-phologyanddistributiondensityofepicuticularwaxdirectlyaffectthehydrophobicityandanti-adhesion.Thesurfacewithuniformlydistributedconvexunitsshowsthebestanti-adhesion,andthesurfacewithregularlyarrangedtrellisunitsdisplaysbetteranti-adhesion.Incontrast,thesurfacewithrandomlydistributedhairunitsperformsrelativelybadanti-adhesion.Thehydrophobicmodelsofpapilla-ciliaryandfold-setalnon-smoothsurfacesweresetuptodeterminetheimpactsofgeometricparametersonthehydrophobicity.Thisstudymayprovideaninsightintosurfacemachinemoldingandapparentmorphologydesignforbiomimeticsengineering.

简介：Bionicnon-smoothsurfaces(BNSS)canreducedrag.Muchattentionhasbeenpaidtothemechanismofshearstressreductionbyriblets.Themechanismofpressureforcereductionbybionicnon-smoothsurfacesonbodiesofrevolutionhasnotbeenwellinvestigated.InthisworkCFDsimulationhasrevealedthemechanismofdragreductionbyBNSS,whichmayworkinthreeways.First,BNSSonbodiesofrevolutionmaylowerthesurfacevelocityofthemedium,whichpreventsthesuddenspeedupofaironthecrosssection.Sothebottompressureofthemodelwouldnotbedisturbedsharply,resultinginlessenergylossanddragreduction.Second,themagnitudeofvorticityinducedbythebionicmodelbecomessmallerbecause,duetothesculpturing,thegrowthoftinyairbubblesisavoided.Thusthelargemomentofinertiainducedbylargeairbubbleisreduced.Thereductionofthevorticitycouldreducethedissipationoftheeddy.Sothepressureforcecouldalsobereduced.Third,thethicknessofthemomentumlayeronthemodelbecomeslesswhich,accordingtotherelationshipbetweenthedragcoefficientandthemomentumthickness,reducesdrag.

简介：Thisstudyinvestigatestheeffectivenessofthenon-smoothsemi-activecontrolalgorithmonsuppressingthevibrationperformanceofabuildingstructuresubjectedtoseismicwaves.AccordingtotheLyapunovstabilitytheory,ithasbeneproventhatthenon-smoothsemi-activecontrolalgorithmcanachieveafinite-timestabilityofthevibrationrelativetotheisolationlayerofabuildingstructure.Throughnumericalsimulationoftwobuildingswithdifferentparameterssubjectedtotheinputofaseismicwave,thevibrationconditionsofpassivecontrol,LQRsemi-activecontrolandnon-smoothsemiactivecontrolarecomparedandanalyzed.Thesimulationresultsshowthatthenon-smoothsemi-activecontrolalgorithmhasabetterrobustnessandeffectivenessinrestrainingtheimpactofearthquakesonthestructure.