最后，在恰当的假设条件下，获得了弱扰动映射的二阶邻接导数的上半连续和下半连续性。

Finally, under suitable assumptions, we obtain the upper semicontinuity and the lower semicontinuity of second-order adjacent derivatives for the weak perturbation maps.

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论文第二章研究了等离子体中横向扰动下的(3 + 1)维弱非线性离子声波，得到了描述离子声孤波的(3 + 1)维kp方程。

In chapter two, the (3 + 1) dimensional weakly nonlinear ion acoustic wave at higher order transverse perturbations in plasma was discussed and described by the Kadomtsev-Petviashvili (KP) equation.

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结果表明：当环境流中弱二次切变强度增加（减少）时，扰动动能的最大值增加（减小），扰动动能的变化加速（减速）；

The result indicates:when the weakly secondary shear grows(decays), the maximum value of the perturbation kinetic energy also grows(decays), and the change of the energy accelerates(slows).

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