Universal properties of the two-dimensional Kuramoto-Sivashinsky equation
Universal properties of the two-dimensional Kuramoto-Sivashinsky equation
We investigate the properties of the Kuramoto-Sivashinsky equation in two spatial dimensions. We show by an explicit, numerical, coarse-graining procedure that its long-wavelength properties are described by a stochastic, partial differential equation of the Kardar-Parisi-Zhang type. From the computed parameters in our effective, stochastic equation we argue that the length …