2 citations · 4 across the 3 of their papers we have counts for
4 papers
Generalized transition waves and their properties
Henri Berestycki, François Hamel
In this paper, we generalize the usual notions of waves, fronts and propagation speeds in a very general setting. These new notions, which cover all classical situations, involve u…
On least Energy Solutions to A Semilinear Elliptic Equation in A Strip
Henri Berestycki, Juncheng Wei
We consider the following semilinear elliptic equation on a strip: \[ \left\{{array}{l} Δu-u + u^p=0 \ {in} \ \R^{N-1} \times (0, L), u>0, \frac{\partial u}{\partial ν}=0 \ {on} \…
The explosion problem in a flow
Henri Berestycki, Alexander Kiselev, Alexei Novikov +1
We consider the explosion problem in an incompressible flow introduced in the paper of H. Berestycki, L. Kagan, G. Joulin and G. Sivashinsky. We use a novel estimate…
A population facing climate change: joint influences of Allee effects and environmental boundary geometry
Lionel Roques, Alain Roques, Henri Berestycki +1
As a result of climate change, many populations have to modify their range to follow the suitable areas - their "climate envelope" - often risking extinction. During this migration…