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SUMMARY:Asymptotic spreading in general heterogeneous media - Nadin\, G (U
 niversity Paris 6)
DTSTART:20101122T115000Z
DTEND:20101122T124000Z
UID:TALK28082@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We will present in this talk propagation properties for the so
 lutions of the heterogeneous Fisher-KPP equation\n@tuÀ@xxu=Ö(t\;x)u(1Àu
 ) \nwhere Ö  is only assumed to be uniformly continuous and bounded in (t
 \;x) \, for initial data with compact support. Using homogenization techni
 ques\, we construct two speeds w  and w  such that limt!+1u(t\;x+wt)=0  if
  w>w  and limt!+1u(t\;x+wt)=1  if Unknown control sequence '\\inderline'. 
 These speeds are characterized in terms of two new notions of generalized 
 principal eigenvalues for linear parabolic operators in unbounded domains.
  In particular\, this allows us to derive the exact asymptotic speed of pr
 opagation for almost periodic and asymptotically almost periodic equations
  (where w=w ) and to obtain explicit bounds on these speeds in recurrent a
 nd spatially homogeneous equations. 
LOCATION:Seminar Room 1\, Newton Institute
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