简介:Wedealwithavariationalinequalitydescribingthemotionofincompressiblefluids,whoseviscousstresstensorsbelongtothesubdifferentialofafunctionalatthepointgivenbythesymmetricpartofthevelocitygradient,withanonlocalfrictionconditiononapartoftheboundaryobtainedbyageneralizedmollificationofthestresses.Weestablishanexistenceresultofasolutiontothenonlocalfrictionproblemforthisclassofnon-Newtonianflows.TheresultisbasedontheFaedo-GalerkinandMoreau-Yosidamethods,thedualitytheoryofconvexanalysisandtheTychonov-Kakutani-Clicksbergfixedpointtheoremformulti-valuedmappingsinanappropriatefunctionalspaceframework.
简介:ThepressurelessNavier-Stokesequationsfornon-Newtonianfluidarestudied.Theanalyticalsolutionswitharbitrarytimeblowup,inradialsymmetry,areconstructedinthispaper.WiththepreviousresultsfortheanalyticalblowupsolutionsoftheN-dimensional(N≥2)Navier-Stokesequations,weextendthesimilarstructuretoconstructananalyticalfamilyofsolutionsforthepressurelessNavier-Stokesequationswithanormalviscosityterm▽·(μ(ρ)|▽u|α▽u).
简介:ASUFFICIENTCONDITIONFORNON-COEXISTENCEOFONEDIMENSIONALMULTICOLORCONTACTPROCESSESLIUXIUFANG(刘秀芳)WANGJUN(王军)(DepartmentofMathem...
简介:Non-uniformalgebraic-trigonometricB-splinessharesmostofthepropertiesasthoseoftheusualpolynomialB-splines.Buttheyarenotorthogonal.Weconstructanorthogonalbasisforthen-order(n≥3)algebraic-trigonometricsplinespaceinordertoresolvethetheoreticalproblemthatthereisnotanexplicitorthogonalbasisinthespacebynow.MotivatedbytheLegendrepolynomials,wepresentanovelapproachtodefineasetofauxiliaryfunctions,whichhavesimpleandexplicitexpressions.Thentheproposedorthogonalsplinesaregivenasthederivativesoftheseauxiliaryfunctions.
简介:<正>Inthispaperweconsiderasemi-dicretizednonlinearSchrdinger(NLS)equationwithlocalintegralnonlinearity.Itisprovedthatforeachmeshsize,thereexistattractorsforthediscretizedsystem.TheboundstortheHausdorffandfractaldimensionsofthediscreteattractorsareobtained,andthevariousboundsareindependentofthemeshsizes.Furthermore.numericalexperimentsaregivenandmanyinterestingphenomenaareobservedsuchaslimitcycles,chaoticattractorsandaso-calledcrisisofthechaoticattractors.
简介:Afewweakandstrongconvergencetheoremsofthemodifiedthree-stepiterativesequencewitherrorsandthemodifiedIshikawaiterativesequencewitherrorsforasymptoticallynon-expansivemappingsinanynon-emptyclosedconvexsubsetsofuniformlyconvexBanachspacesareestablished.TheresultspresentedinthispapersubstantiallyextendtheresultsduetoChang(2001),Osilikeandhniagbosor(2000),Rhoades(1994)andSchu(1991).
简介:Inthispaper,thebehaviorforcommutatorsofaclassofbilinearsingularintegraloperatorsassociatedwithnon-smoothkernelsontheproductofweightedLebesguespacesisconsidered.BysomenewmaximalfunctionstocontrolthecommutatorsofbilinearsingularintegraloperatorsandCMO(Rn)functions,compactnessforthecommutatorsisproved.
简介:Inthisarticle,wewillinvestigatethepropertiesofiterativesequencefornon-expansivemappingsandpresentseveralstrongandweakconvergenceresultsofsuccessiveapproximationstofixedpointsofnon-expansivemappingsinuniformlyconvexBanachspaces.Theresultspresentedinthisarticlegeneralizeandimprovevariousonesconcernedwithconstructivetechniquesforthefixedpointsofnon-expansivemappings.
简介:Inthisarticle,byusingtheoryoflinearevolutionsystemandSchauderfixedpointtheorem,weestablishasufficientresultofexactnullcontrollabilityforanonautonomousfunctionalevolutionsystemwithnonlocalconditions.Inparticular,thecompactnesscondi-tionorLipschitzconditionforthefunctionginthenonlocalconditionsappearinginvariousliteraturesisnotrequiredhere.Anexampleisalsoprovidedtoshowanapplicationoftheobtainedresult.
简介:Inthisarticle,weobtaintheL~p-boundednessofcommutatorsofLipschitzfunctionsandsingularintegralswithnon-smoothkernelsonEuclideanspaces.