学科分类
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2 个结果
  • 简介:ToillustratethegeneralpropertiesoftheBeltramiflows,anewsufficientandnecessarycondi-tionofthegeneralsolutionoftheBeltramiflowshasbeengiven,onwhosebasissomesufficientandnecessaryconditionsandsufficientconditionsinliteratureareunified.TheadvantagesofthenewexpressionsarethatonemaygetsolutionsofBeltramiflowswithconstantproportionalfactorswhichsatisfysomegivenasymptoticdecayingconditionsatinfinity.Finally,wefindaclassofsphericalvorticesofBeltramiflows,wherethemo-tiontrajectoriesofthefluidparticlesareconfinedwithinasphereortwoadjacentconcentricsphericalshells.Wefindthatthesuperpositionsofthesphericalvorticesofthesameorderwithdifferentpolaraxesmayproducechaotictrajectories.

  • 标签: BELTRAMI flow SUFFICIENT and necessary condition