Kuramoto-Sivashinsky方程中的大规模行为：施温格-戴森路径
Large scale behavior in the Kuramoto-Sivashinsky equation: The Schwinger-Dyson route
AI总结：
研究Kuramoto-Sivashinsky方程大规模性质，用施温格-戴森框架证明红外极限下稳定标度解有负有效粘度，假设最少，表明此为波动方程一般性质，不依赖特定截断集或数值方案限制。
AI中文摘要：
本文研究Kuramoto-Sivashinsky方程的大规模性质。利用施温格-戴森框架，旨在证明在红外极限下能维持稳定标度的唯一解具有负有效粘度（在Kuramoto-Sivashinsky意义下），且假设最少，表明这是波动方程的一般性质，不依赖重整化群流的特定截断集或给定数值方案的限制等。
英文摘要：
The present paper is a study of the large scale properties of the Kuramoto-Sivashinsky equation. By using a Schwinger-Dyson framework, we aim to provide a proof that the only solutions that can sustain a stable scaling in the infrared limit have a negative effective viscosity (in the Kuramoto-Sivashinsky sense) with a minimal set of hypotheses, thereby showing that this constitutes a general property of the wave equation that does not depend on a specific set of truncations of a renormalisation group flow, or limitations of a given numerical scheme for example.
