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

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• Professor Andrej Il'ichev, Steklov Mathematical Institute, Russian Academy of Science and Professor George Tsypkin, Institute for Problems in Mechanics
• Thursday 31 May 2007, 10:30-11:30
• Open Plan Area, BP Institute, Madingley Rise CB3 0EZ.

If you have a question about this talk, please contact Anne Alexander.

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 Institute for Energy and Environmental Flows (IEEF) series.

This talk is included in these lists:

• All Talks (aka the CURE list)
• Cambridge Energy Seminars
• Department of Earth Sciences seminars
• Institute for Energy and Environmental Flows (IEEF)
• NanoDTC Energy Materials Talks
• Open Plan Area, BP Institute, Madingley Rise CB3 0EZ
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