On the theory of internal waves of permanent form in fluids of great depth

On the theory of internal waves of permanent form in fluids of great depth
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论大深度流体中永久形式的内波理论

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发表时间:
1994
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通讯作者:
C. Amick
C. Amick
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作者:
C. Amick

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其中h > 0是给定参数。根据比例,我们可以取h = 1,由此Q = M。x(-1,oo)。流体域Q由其中密度可以被归一化为相等的单位的下部流体区域Q_、其中密度是给定常数pE(0,1)的上部区域Q+以及这两个区域之间的未知界面T组成:T = {(x,Z(x)):xE E}。这里Z是一个光滑函数,Z(±oo)= 0。n+ r ^y-^^y = z(x)· n_ ->x y = -l
where h > 0 is a given parameter. Upon scaling, we may take h = 1, whence Q = M. x (-1, oo). The fluid domain Q consists of a lower fluid region Q_ in which the density may be normalized to equal unity, an upper region Q+ in which the density is a given constant p £ (0, 1), and the unknown interface T between these two regions: T = {(x, Z(x)) : x £ E} . Here Z is a smooth function with Z(±oo) = 0. n+ r ^y—^-^-^^y = z(x) • n_ ->x y = -l