De Adrian Lam
Joint work with Stephen Cantrell, Yuan Lou and Benoît Perthame.
To investigate the evolution of dispersal in spatially heterogeneous environments, Dockery et al. in 1998 formulated a di˙usion-competition system of N species which are identical except for their di˙usion rates, and conjectured that the slowest di˙using species al-ways competitively exclude all its counterparts. A continuum version of the problem was formulated by Perthame and Souganidis in 2016. In this selection-mutation model, the population is structured by both space and the di˙usion rate, and where mutation acts on the latter phenotypic variable. The rare mutation limit of the time-dependent solution is believed to be well described by certain Hamilton-Jacobi equation with a constraint, but rigorous results are limited to the case without spatial structure. In this talk, we will describe some recent progress on both problems by introducing the concept of principal Floquet bundle for parabolic equations.
De Nick Barton
De Quentin Griette
De Ada Altieri
De Mete Demircigil
De Elisa Thébault
De Jean-François Arnoldi
De Michael Scott
De Florence Bansept
De Apolline Louvet
De Vincent Bansaye
De Sébastien Lion
De Philipp Messer
De Raphael Forien
De Nicolas Vauchelet
De David MacLeod
De Cheryl Mentuda
De Léo Girardin
De Coralie Fritsch
De Adrian Lam
De Diana Fusco
De Léonard Dekens
De Oana Carja
De Sepideh Mirrahimi
De Olivier Cotto
De Benoît Henry
De Himani Sachdeva
De Florian Patout
De Ignacio Madrid Canales
De Denis Roze
De Julien Berestycki
De Sylvie Ferrari
De Vasilis Dakos
