Volume 9, Number 3, Fall 2001
RENORMALIZATION OF THE KdV-BURGERS AND KURAMOTO-SIVASHINSKY EQUATIONS
CHIU-YA LAN AND CHI-KUN LIN
Abstract. In this article we study the turbulent diffusion
of the KdV-Burgers and Kuramoto-Sivashinsky equations.
Using the concept of renormalization we prove that the
homogenized equation is the diffusion equation for short-range
correlation while for long-range correlation it is the superdiffusion