49 citations · 55 across the 5 of their papers we have counts for
5 papers
On the instability of threshold solutions of reaction-diffusion equations, and applications to optimization problems
Grégoire Nadin
The first part of this paper is devoted to the derivation of a technical result, related to the stability of the solution of a reaction-diffusion equation on $(0,…
Hindrances to bistable front propagation: application to Wolbachia invasion
Grégoire Nadin, Martin Strugarek, Nicolas Vauchelet
We study the biological situation when an invading population propagates and replaces an existing population with different characteristics. For instance, this may occur in the pre…
The Effect of the Schwarz Rearrangement on the Periodic Principal Eigenvalue of a Nonsymmetric Operator
Grégoire Nadin
This paper is concerned with the periodic principal eigenvalue associated with the operator , (1) where …
How does the spreading speed associated with the Fisher-KPP equation depend on random stationary diffusion and reaction terms?
Grégoire Nadin
We consider one-dimensional reaction-diffusion equations of Fisher-KPP type with random stationary ergodic coefficients. A classical result of Freidlin and Gartner [16] yields that…
Traveling fronts in space-time periodic media
Grégoire Nadin
This paper is concerned with the existence of pulsating traveling fronts for the equation: , (…