摘要
ToillustratethegeneralpropertiesoftheBeltramiflows,anewsufficientandnecessarycondi-tionofthegeneralsolutionoftheBeltramiflowshasbeengiven,onwhosebasissomesufficientandnecessaryconditionsandsufficientconditionsinliteratureareunified.TheadvantagesofthenewexpressionsarethatonemaygetsolutionsofBeltramiflowswithconstantproportionalfactorswhichsatisfysomegivenasymptoticdecayingconditionsatinfinity.Finally,wefindaclassofsphericalvorticesofBeltramiflows,wherethemo-tiontrajectoriesofthefluidparticlesareconfinedwithinasphereortwoadjacentconcentricsphericalshells.Wefindthatthesuperpositionsofthesphericalvorticesofthesameorderwithdifferentpolaraxesmayproducechaotictrajectories.
出版日期
1992年04月14日（中国期刊网平台首次上网日期，不代表论文的发表时间）
