密度分层薄Keplerian圆盘中的非指数流体动力学增长
Non-exponential hydrodynamical growth in density-stratified thin Keplerian discs
摘要：
研究了三维小扰动的短时演化。表现出光谱渐近稳定性，薄光盘，但主机密集的流体动力学活动的形状的非模态增长的初始小扰动。两种机制，导致这种行为的确定和研究，即，非共振激发的垂直限制声波的稳定平面惯性科里奥利模式，导致随时间线性增长，以及共振耦合的这两种模式，导致二次增长的初始扰动。进一步推测，非模态增长可以引起二次平流旋转不稳定性，从而导致一个新的途径湍流产生薄盘。
英文摘要：
The short time evolution of three dimensional small perturbations is studied. Exhibiting spectral asymptotic stability, thin discs are nonetheless shown to host intensive hydrodynamical activity in the shape of non modal growth of initial small perturbations. Two mechanisms that lead to such behavior are identified and studied, namely, non-resonant excitation of vertically confined sound waves by stable planar inertia-coriolis modes that results in linear growth with time, as well as resonant coupling of those two modes that leads to a quadratic growth of the initial perturbations. It is further speculated that the non modal growth can give rise to secondary strato-rotational instabilities and thus lead to a new route to turbulence generation in thin discs.
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