具有褶皱表面的磁性多层膜中线性及非线性表面静磁波

In these formulae,γ is the gyromagnetic ratio,and f1and f2 are used as the magnetic andnonmagnetic fractions in the multilayers,respectively.Therefore f1=d1/ ( d1+d2 ) and f2 =d2 / ( d1+d2 ) ,with d1representing the thickness of magnetic layers and d2 the thickness of nonmagneticlayers.In our previous paper[2 3 ] ,we obtained the useful non-zero components of the third-ordermagnetizations with foundation al frequencyω,for a surface magnetostatic wave propagatingalong the x axis,which arwhere…     

关于Planar Ferromagnets and Antiferromagnets泛函的径向极小元的注记

就Bethuel,Brezis和Helein提出的问题讨论了Planar Ferromagnets and Antiferromagnets泛函在H={u(x)=(sin f(r)x/|x|,cos f(r))∈H1(B1,S2); f(0)=0, f(1)=π/2,r=|x|}中的径向极小元的一些性质,其中包括此泛函的径向极小元的零点的分布及若干个上界估计,并给出了这一问题的肯定回答.