Renormalization of Generalized KPZ equation

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 \(\epsilon\) as \(\epsilon^{-1}\) and \(\log\epsilon^{-1}\).

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-04
Main Authors: Kupiainen, Antti, Marcozzi, Matteo
Format: Article
Language:English
Subjects:
Fluid dynamics
Fluid flow
Hydrodynamics
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 \(\epsilon\) as \(\epsilon^{-1}\) and \(\log\epsilon^{-1}\).
ISSN:2331-8422
DOI:10.48550/arxiv.1604.08712