Alexander Dunlap

activity

20152026

most citedStationary solutions to the stochastic Burgers equation on the line

26 citations · 123 across the 18 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.PR2020★ 17 cited

A forward-backward SDE from the 2D nonlinear stochastic heat equation

Alexander Dunlap, Yu Gu

We consider a nonlinear stochastic heat equation in spatial dimension $d = 2$ , forced by a white-in-time multiplicative Gaussian noise with spatial correlation length $ε > 0$ …

math.PR2020★ 4 cited

Viscous shock solutions to the stochastic Burgers equation

Alexander Dunlap, Lenya Ryzhik

We define a notion of a viscous shock solution of the stochastic Burgers equation that connects "top" and "bottom" spatially stationary solutions of the same equation. Such shocks…

math.PR2020

The continuum parabolic Anderson model with a half-Laplacian and periodic noise

Alexander Dunlap

We construct solutions of a renormalized continuum fractional parabolic Anderson model, formally given by $\partial_{t} u = - (- Δ)^{1/2} u + ξ u$ , where $ξ$ is a periodic spatial white nois…