简介：Y-RiemannianmetricgYisanimportanttoolinFinslergeometry,whereYisasmoothnon-zerovectorfieldonFinslermanifold.IfYisageodesicfield,itisveryeffectivetostudyflagcurvatureusingY-Riemannmetric.Inthispaper,usingaspecialY-Riemannmetric(thatis,socalledv-Riemannmetric),westudyhyperspheresinaMinkowskispaceandgivesomecharacteristicsofhyperspheresinaMinkowskispace.

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简介：Recently,Cristofaro-GardinerandHutchingsprovedthatthereexistatleasttwoclosedcharacteristicsoneverycompactstar-shapedhypersufaceinR~4.ThenGinzburg,Hein,Hryniewicz,andMacarinigavethisresultasecondproof.Inthispaper,wegiveitathirdproofbyusingindexiterationtheory,resonanceidentitiesofclosedcharacteristicsandaremarkabletheoremofGinzburgetal.

简介：Anonlinearparabolicsystemisderivedtodescribeincompressiblenuclearwaste-disposalcontaminationinporousmedia.Asequentialimplicittirne-steppingisdefined,inwhichthepressureandDarcyvelocityofthemixtureareapproximatedsimultaneouslybyamixedfiniteelementmethodandthebrine,radionuclidandheataretreatedbyacombinationofaGalerkinfiniteelementmethodandthemethodofcharacteristics.Optimal-orderconvergenceinL2isproved.Time-truncationerrorsofstandardproceduresarereducedbytimesteppingalongthecharacteristicsofthehyperbolicpartofthebrine,radionuclideandhealequalios,temporalandspatialerrorarelossenedbydirectcompulationofthevelocityinthemixedmethod,asopposedtodifferentiationofthepressure.

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