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Lateral instability in normal viscous fingers
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We study a low-amplitude, long-wavelength lateral instability of the Saffman-Taylor finger by means of a phase-field model. We observe such an instability in two situations in which small dynamic perturbations are overimposed to a constant pressure drop. We first study the case in which the perturbation consists of a single oscillatory mode and then a case in which the perturbation consists of temporal noise. In both cases the instability undergoes a process of selection.
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LEDESMA AGUILAR, Rodrigo Andrés, et al. Lateral instability in normal viscous fingers. Physical Review E. 2005. Vol. E71, num. 016312-1-016312-7. ISSN 1539-3755. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/18701