2 papers
math.PR2026
Fluctuations for fully pushed stochastic fronts
Alison Etheridge, Raphaël Forien, Thomas Hughes +1
We study the asymptotic behaviour, in the small noise limit, of stochastic travelling wave solutions to reaction-diffusion equations perturbed by Wright-Fisher noise. Such equation…
math.AP2025
Convergence and front position for an FKPP-type free boundary problem
Julien Berestycki, Sarah Penington, Oliver Tough
The free boundary problem\[ \begin{cases} \partial_tu=\frac{1}{2}Îu+u,\quad &t>0, \, x>L_t,\\ u(t,x)=0,\quad &t>0,\, x\le L_t,\\ \int_{L_t}^{\infty}u(t,y)dy=1,\quad &t> 0,\\ u(t,x…