1 citations · 1 across the 2 of their papers we have counts for
4 papers
Reaction-diffusion equations in the half-space
Henri Berestycki, Cole Graham
We study reaction-diffusion equations of various types in the half-space. For bistable reactions with Dirichlet boundary conditions, we prove conditional uniqueness: there is a uni…
The Bramson correction for Fisher--KPP equations with nonlocal diffusion
Cole Graham
We establish the logarithmic Bramson correction to the position of solutions to the Fisher--KPP equation with nonlocal diffusion. Solutions with step-like initial data typically re…
Irregularity of distribution in Wasserstein distance
Cole Graham
We study the non-uniformity of probability measures on the interval and the circle. On the interval, we identify the Wasserstein- distance with the classical -discrepancy.…
Precise asymptotics for Fisher-KPP fronts
Cole Graham
We consider the one-dimensional Fisher-KPP equation with step-like initial data. Nolen, Roquejoffre, and Ryzhik showed that the solution converges at long time to a traveling w…