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SUMMARY:Long wave transition to instability of flows in horizontally exten
 ded domains of porous media - Professor Andrej Il'ichev\, Steklov Mathemat
 ical Institute\, Russian Academy of Science and Professor George Tsypkin\,
  Institute for Problems in Mechanics
DTSTART:20070531T093000Z
DTEND:20070531T103000Z
UID:TALK7523@talks.cam.ac.uk
CONTACT:Anne Alexander
DESCRIPTION:_A new mechanism of transition to instability is treated arisi
 ng for vertical motions with phase transition in horizontally infinite two
 -dimensional domains of a porous medium.  Destabilization of a plane inter
 face takes place at zero wave number being accompanied by reversible bifur
 cations indicating the formation of a secondary flow with a shifted phase 
 transition interface.  Sub- and supercritical structures in a neighbourhoo
 d of the threshold of instability obey the weakly nonlinear diffusion equa
 tion.  As an illustration of the transition in question we consider two ph
 ysically different examples of motion in a porous medium._
LOCATION:Open Plan Area\, BP Institute\, Madingley Rise CB3 0EZ
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