5 papers
Adaptation in shifting and size-changing environments under selection
Matthieu Alfaro, Adel Blouza, Nessim Dhaouadi
We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significan…
The Bramson correction in the Fisher-KPP equation: from delay to advance
Matthieu Alfaro, Thomas Giletti, Dongyuan Xiao
We consider the solution to the scalar Fisher-KPP equation with front-like initial data, focusing on the location of its level sets at large times, particularly their deviation fro…
The Allen-Cahn equation with nonlinear truncated Laplacians: description of radial solutions
Matthieu Alfaro, Philippe Jouan
We consider the Allen-Cahn equation with the so-called truncated Laplacians, which are fully nonlinear differential operators that depend on some eigenvalues of the Hessian matrix.…
Sharp interface limit of the Fisher-KPP equation when initial data have slow exponential decay
Matthieu Alfaro, Arnaud Ducrot
We investigate the singular limit, as $\ep \to 0$, of the Fisher equation $\partial_t u=\ep Δu + \ep ^{-1}u(1-u)$ in the whole space. We consider initial data with compact support…
Sharp interface limit of the Fisher-KPP equation
Matthieu Alfaro, Arnaud Ducrot
We investigate the singular limit, as $\ep \to 0$, of the Fisher equation $\partial_t u=\ep Δu + \ep ^{-1}u(1-u)$ in the whole space. We consider initial data with compact support…