3 papers
cond-mat.dis-nn2026
FKPP fronts in quenched random media
Ulysse Marquis, Henri Berestycki, Marc Barthelemy
We study numerically the evolution of one-dimensional FKPP fronts initiated from steep initial conditions in the presence of a quenched random growth rate. Compared to both the hom…
math.AP2024
Diffusion of knowledge and the lottery society
Henri Berestycki, Alexei Novikov, Jean-Michel Roquejoffre +1
The Lucas-Moll system is a mean-field game type model describing the growth of an economy by means of diffusion of knowledge. The individual agents in the economy advance their kno…
math.AP2004
Non-Planar Fronts in Boussinesq Reactive Flows
H. Berestycki, P. Constantin, L. Ryzhik
We consider the reactive Boussinesq equations in a slanted cylinder, with zero stress boundary conditions and arbitrary Rayleigh number. We show that the equations have non-planar…