Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher

2019/11/04 by Gu, Yu, Li, Jiawei · 3 citations
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1911.01416

Abstract

We study the solution to a nonlinear stochastic heat equation in d≥ 3. The equation is driven by a Gaussian multiplicative noise that is white in time and smooth in space. For a small coupling constant, we prove (i) the solution converges to the stationary distribution in large time; (ii) the diffusive scale fluctuations are described by the Edwards-Wilkinson equation.

Cited by

• Gaussian fluctuations for the nonlinear stochastic heat equation with drift
• A critical stochastic heat equation with long-range noise
• Edwards-Wilkinson limit for a stochastic advection-diffusion PDE

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