Dissipation enhancement by transport noise for stochastic p-Laplace equations

The stochastic p-Laplace equation with multiplicative transport noise is studied on the torus Td(d≥2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {T}^d\, (d\ge 2)$$\end{document}. It is shown that the dissipation is enhanced by transport noise in both the averaged sense and the pathwise sense.