University of Cambridge > Talks.cam > BPI Seminar Series > Long wave transition to instability of flows in horizontally extended domains of porous media

Long wave transition to instability of flows in horizontally extended domains of porous media

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A new mechanism of transition to instability is treated arising for vertical motions with phase transition in horizontally infinite two-dimensional domains of a porous medium. Destabilization of a plane interface takes place at zero wave number being accompanied by reversible bifurcations indicating the formation of a secondary flow with a shifted phase transition interface. Sub- and supercritical structures in a neighbourhood of the threshold of instability obey the weakly nonlinear diffusion equation. As an illustration of the transition in question we consider two physically different examples of motion in a porous medium.

This talk is part of the BPI Seminar Series series.

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