Asymptotic spreading in general heterogeneous media

Add to your list(s) Download to your calendar using vCal

• Nadin, G (University Paris 6)
• Monday 22 November 2010, 11:50-12:40
• Seminar Room 1, Newton Institute.

If you have a question about this talk, please contact Mustapha Amrani.

Partial Differential Equations in Kinetic Theories

We will present in this talk propagation properties for the solutions of the heterogeneous Fisher-KPP equation @tuÀ@xxu=Ö(t;x)u(1Àu) where Ö is only assumed to be uniformly continuous and bounded in (t;x) , for initial data with compact support. Using homogenization techniques, 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 propagation for almost periodic and asymptotically almost periodic equations (where w=w ) and to obtain explicit bounds on these speeds in recurrent and spatially homogeneous equations.

This talk is part of the Isaac Newton Institute Seminar Series series.

This talk is included in these lists:

• All CMS events
• Featured lists
• INI info aggregator
• Isaac Newton Institute Seminar Series
• School of Physical Sciences
• Seminar Room 1, Newton Institute
• bld31

Note that ex-directory lists are not shown.