Weak universality of the dynamical ${\Phi }_3^4$ model on the whole space

Abstract

We prove the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on ${\mathbb{R}}^3$ to the dynamical ${\Phi }_3^4$ model by paracontrolled distributions on weighted Besov space. Our approach depends on the delicate choice of the weight, the localization operator technique and a modification version of the maximal principle from [GH18].

arXiv admin note: text overlap with arXiv:1804.11253 by other authors

References in corpus (2)

• Approximating three-dimensional Navier-Stokes equations driven by space-time white noise
• Large scale behaviour of 3D continuous phase coexistence models

Cited by in corpus (1)

• Flow equation approach to singular stochastic PDEs