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SUMMARY:Continuous time random walk and non-linear reaction-transport equa
 tions - Fedotov\, S (Manchester)
DTSTART:20100121T113000Z
DTEND:20100121T123000Z
UID:TALK22658@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The theory of anomalous diffusion is well-established and lead
 s to the fractional PDEs for number densities. Despite the progress in und
 erstanding the anomalous transport most work has been concentrated on the 
 passive density of the particles\, and comparatively little is known about
  the interaction of anomalous transport with chemical reactions.\n\nThis w
 ork is intended to address this issue by utilising the random walk techniq
 ues.\nThe main aim  is to incorporate the nonlinear reaction terms into no
 n-Markovian Master equations for a continuous time random walk (CTRW). We 
 derive nonlinear evolution equations for the mesoscopic density of reactin
 g particles corresponding to CTRW with arbitrary jump and waiting time dis
 tributions. We apply these equations to the problem of front propagation i
 n the reaction-transport systems of KPP-type.\nWe find an explicit express
 ion for the speed of a propagating front in the case of subdiffusive trans
 port.\n
LOCATION:Seminar Room 1\, Newton Institute
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