Dissipation enhancement by transport noise for stochastic $p$-Laplace equations

Abstract

The stochastic $p$-Laplace equation with multiplicative transport noise is studied on the torus ${\mathbb{T}}^d(d\ge 2)$. It is shown that the dissipation is enhanced by transport noise in both the averaged sense and the pathwise sense.

20 pages. We have made some small corrections

References in corpus (2)

• Quantitative convergence rates for scaling limit of SPDEs with transport noise
• Stabilization by transport noise and enhanced dissipation in the Kraichnan model

Cited by in corpus (1)

• Dissipation properties of transport noise in the two-layer quasi-geostrophic model