English

Renormalization of Generalized KPZ equation

Mathematical Physics 2016-11-23 v1 math.MP

Abstract

We use Renormalization Group to prove local well posedness for a generalized KPZ equation introduced by H. Spohn in the context of stochastic hydrodynamics. The equation requires the addition of counter terms diverging with a cutoff ϵ\epsilon as ϵ1\epsilon^{-1} and logϵ1\log\epsilon^{-1}.

Cite

@article{arxiv.1604.08712,
  title  = {Renormalization of Generalized KPZ equation},
  author = {Antti Kupiainen and Matteo Marcozzi},
  journal= {arXiv preprint arXiv:1604.08712},
  year   = {2016}
}
R2 v1 2026-06-22T13:44:16.975Z