简介:MULTIPLICITYRESULTSFORAFOURTH-ORDERBOUNDARYVALUEPROBLEMMaRuyun(马如云)MaQinsheng(马勤生)(ReceivedOct.5.1994:CommunicatedbyLinZongch...
简介:为椭圆形的方程被考虑的semilinear的不可思议地使不安的边界价值问题。在合适的条件下面并且由使用固定的点定理,存在,唯一和边界值的答案的asymptotic行为,问题被学习。
简介:Somesuperconvergenceresultsofgeneralizeddifferencesolutionforellipticboundaryvalueproblemaregiven.Itisshownthatoptimalpointsofthestressesforgeneralizeddifferencemethodarethesameasthatforfiniteelementmethod.
简介:Wedevelopanumericalschemetoconstructthescattering(S)matrixforopticalmicrocavities,includingthespecialcaseswithparity-timeandothernon-Hermitiansymmetries.Thisschemeincorporatestheexplicitformofanonlocalboundarycondition,withtheincidentlightrepresentedbyaninhomogeneousterm.ThisapproachresolvestheartifactofadiscontinuousnormalderivativetypicallyfoundintheR-matrixmethod.Inaddition,weshowthat,byexcludingtheaforementionedinhomogeneousterm,thenon-HermitianHamiltonianinourapproachalsodeterminesthePeriels–Kapurstates,anditconstitutesanalternativeapproachtoderivethestandardR-matrixresultinthisbasis.Therefore,ourschemeprovidesaconvenientframeworktoexplorethebenefitsofbothapproaches.Weillustratethisboundaryvalueproblemusing1Dand2DscalarHelmholtzequations.TheeigenvaluesandpolesoftheSmatrixcalculatedusingourapproachshowgoodagreementwithresultsobtainedbyothermeans.
简介:Inthisarticle,Hasemanboundaryvalueproblemforaclassofmeta-analyticfunctionsisstudied.TheexpressionofsolutionandtheconditionofsolvabilityforHasemanboundaryvalueproblemareobtainedbychangingtheproblemdiscussedintotheequivalentHasemanboundaryvalueproblemofbi-analyticfunction.Andtheexpressionofsolutionandtheconditionofsolvabilitydependonthecanonicalmatrix.
简介:ChloridecontentandthepHvalueoftheporesolutionintheneighborhoodofsteelreinforcementaredecisiveparametersforinitiationandrateofcorrosion.Theporesolutionofcementmortarandhardenedcementpastehasbeenexpressedfromtheporespacebyhighpressureintheinvestigation.Theinfluenceofthewater-cementratio,age,andadditionofchloridetothefreshmixonchloridecontentintheporesolutionhasbeendeterminedbyionchromatography.AtthesametimethepHvalueoftheporesolutionhasbeendetermined.Thedissolvedchloridecontentdecreaseswithincreaseinthewater-cementratio.Theamountofboundchlorideincreaseswithtime,butitdecreaseswithdecreasingcontentofdissolvedchlorideintheporesolution.Asignificantinfluenceofcarbonationonthedissolvedchloridecontentoftheporesolutionhasbeenobserved.Withcompletecarbonation,thedissolvedchloridecontentincementmortarandhardenedcementpasteincreasesbyafactorbetween2and12.Theboundchloridedecreasesby27%-4%.Asexpected,thepHvaluedecreasesfromaround13.2toaslowas8.0duetocarbonation.ItcanbeconcludedthatcarbonationnotonlylowersthepHvaluebutliberatesboundchloride.Thisisoneobviousreasonwhythecombinedactionofchloridepenetrationandcarbonationacceleratessteelcorrosionandshortenstheservicelifeofreinforcedconcretestructures.