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SUMMARY:Competition-induced segregation and invasion fronts - Leo Girardin
 \, Paris VI
DTSTART:20160630T150000Z
DTEND:20160630T160000Z
UID:TALK66621@talks.cam.ac.uk
CONTACT:Josephine Evans
DESCRIPTION: In this talk\, I will present recent so called "Unity is not 
 strength" results proved by Grégoire Nadin and myself. We investigated tw
 o-species competition-diffusion systems in which the interspecific competi
 tion is strong and diffusion rates are different and wondered which specie
 s would asymptotically prevail. We addressed this question in the particul
 ar case of front-like initial data connecting one extinction state to the 
 other\, or in other words we obtained the sign of the speed of the bistabl
 e invasion fronts. Firstly\, I will explain how the result is deduced in t
 he case of space-homogeneous media\, where the fronts are classical travel
 ing waves and where the result is entirely sharp. Secondly\, I will explai
 n how the result can be extended to the case of space-periodic media\, whe
 re the fronts are pulsating fronts\, whose existence is actually a priori 
 unclear but was also addressed\, and where the result is "almost" sharp.
LOCATION:MR14\, Centre for Mathematical Sciences
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