Cole Graham

activity

20162026

most citedStationary solutions to the stochastic Burgers equation on the line

26 citations · 34 across the 12 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math.PR2023★ 2 cited

Renormalization flow for the 2D nonlinear stochastic heat equation: pointwise statistics and universality

Alexander Dunlap, Cole Graham

We consider a two-dimensional stochastic heat equation with noise correlated at scale $ρ ≪ 1$ and of strength $∣ lo g ρ ∣^{- 1/2} σ (v)$ depending nonlinearly on the solution $v$ . Under…

math.AP2023

Uniqueness and root-Lipschitz regularity for a degenerate heat equation

Alexander Dunlap, Cole Graham

We consider nonnegative solutions of the quasilinear heat equation $\partial_{t} u = \frac{1}{2} u \partial_{x}^{2} u$ in one dimension. Our solutions may vanish and may be unbounded. T…

math.AP2023

KPP traveling waves in the half-space

Julien Berestycki, Cole Graham, Yujin H. Kim +1

We study traveling waves of the KPP equation in the half-space with Dirichlet boundary conditions. We show that minimal-speed waves are unique up to translation and rotation but fa…