Speaker
Bernard DERRIDA
(Collége de France)
Description
The shift of the position of a front found by Bramson in the case of the Fisher-KPP equation is modified at the transition between pulled and pushed fronts. Based on an exactly solvable case, one can predict the cross-over function which determines this shift near this transition. The correction due to a cut-off is also modified at this transition. This raises the question of whether the cut-off approximation still describes accurately the effect of a weak noise of the stochastic PDE.
B Derrida J. Stat. Phys. 2023