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Defect dynamics in viscous fingering

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We study the dynamics of Staffman-Taylor fingering in terms of topological defects of the flow field. The defects are created and/or annihilated at the interface. The route towards the single-finger steady state is characterized by a detailed mechanism for defect annihilation. For small viscosity contrast this mechanism is impeded, and creation of new defects leads the system away from a single-finger solution. Strong evidence for a drastic reduction of the basin of attraction of the Saffman-Taylor finger is presented.

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CASADEMUNT I VIADER, Jaume and JASNOW, David. Defect dynamics in viscous fingering. Physical Review Letters. 1991. Vol. 67, num. 26, pags. 3677-3680. ISSN 0031-9007. [consulted: 28 of June of 2026]. Available at: https://hdl.handle.net/2445/13164

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