Renormalization of Generalized KPZ Equation

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• 作者：Antti Kupiainen ; Matteo Marcozzi
• 关键词：KPZ equation ; Renormalization group ; Stochastic hydrodynamics
• 刊名：Journal of Statistical Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：166
• 期：3-4
• 页码：876-902
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Statistical Physics and Dynamical Systems; Theoretical, Mathematical and Computational Physics; Physical Chemistry; Quantum Physics;
• 出版者：Springer US
• ISSN：1572-9613
• 卷排序：166

文摘

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