Concentration-cancellation phenomena for the velocity fields in incompressible fluid flows

查看全文 作　　者：[1]郑琴;[1]仇庆久 机构地区：[1]Department of Mathematics,Nanjing University,Nanjing 210093,China 出　　处：《Science China Mathematics》索引1997年第40卷第11期,共0页 摘　　要：A more intuitive sufficient condition is given for the concentration cancellation phenomena in 2- or 3-D incompressible fluid flows; that is,if the projection of concentration set of the weak-star defect measure associated with the approximate solution sequence onto space Rxn(n=2,3) is a set with Hausdorff dimension less than 1,then the weak L2 limit of the approximate solution sequence is a classical weak solution of Euler equation.Using this condition,an example is given to elucidate concentration-cancellation phenomena. 关 键 词：weak-star DEFECT measure HAUSDORFF dimension APPROXIMATE solation sequence.