论文标题

多孔介质中三层流的稳定性问题中的无界本征函数

Unbounded eigenfunctions in the stability problem for a three-layer flow in porous media

论文作者

Paşa, Gelu

论文摘要

我们研究三种在有界区域中中间流体时,在多孔培养基中恒定粘度的三种Stokes流体的位移的线性稳定性。我们使用Hele-Shaw型号。稳定系统的本征函数是线性扰动的幅度。这些幅度必须很小。我们获得了无限的本征函数。因此,稳定问题没有物理意义。

We study the linear stability of the displacement of three Stokes fluids with constant viscosity in a porous medium when the middle fluid is contained in a bounded region. We use the Hele-Shaw model. The eigenfunctions of the stability system are the amplitudes of the linear perturbations. These amplitudes must be small. We get unbounded eigenfunctions. So the stability problem has no physical sense.

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