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math.AP2009★ 2 cited

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…

math.AP2009

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…

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…