Kuramoto–Sivashinsky equation


In mathematics, the Kuramoto–Sivashinsky equation is a fourth-order nonlinear partial differential equation, named after Yoshiki Kuramoto and Gregory Sivashinsky, who derived the equation to model the diffusive instabilities in a laminar flame front in the late 1970s. The equation reads as
where is the Laplace operator and its square, is the biharmonic operator. The Kuramoto–Sivashinsky equation is known for its chaotic behavior.