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SUMMARY:Coupled Chemotaxis-Fluid Models - Lorz\, A (Cambridge)
DTSTART:20100909T143000Z
DTEND:20100909T150000Z
UID:TALK26088@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider coupled chemotaxis-fluid models aimed to describe 
 swimming bacteria\, which show bio-convective flow patterns on length scal
 es much larger than the bacteria size. This behaviour can be modelled by a
  system consisting of chemotaxis equations coupled with viscous incompress
 ible fluid equations through transport and external forcing. The global-in
 -time existence of solutions to the Cauchy problem in two and three space 
 dimensions is established. Precisely\, for the chemotaxis-Navier-Stokes sy
 stem\, we obtain global existence and convergence rates of classical solut
 ions near constant states. When the fluid motion is described by Stokes eq
 uations\, we derive some free energy functionals to prove global-in-time e
 xistence of weak solutions for cell density with finite mass\, first-order
  spatial moment and entropy provided that the potential is weak or the sub
 strate concentration is small. Moreover\, with nonlinear diffusion for the
  bacteria\, we give global-in-time existence of weak solutions in two spac
 e dimensions. 
LOCATION:Seminar Room 1\, Newton Institute
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