Nontrivial dynamics beyond the logarithmic shift in two-dimensional Fisher-KPP equations

Jean-Michel Roquejoffre, Violaine Roussier-Michon

We study the asymptotic behaviour, as time goes to infinity, of the Fisher-KPP equation ${\partial }_{t}u=\Delta u+u-u^2$ in spatial dimension $2$, when the initial condition looks like a H…