page_title: Kuramoto–Sivashinsky equation
hierarchical_section_title: Kuramoto–Sivashinsky equation
caption_attribution_description: English: A spatiotemporal plot of the Kuramoto–Sivashinsky equation. The domain size is 100 and 64 Fourier modes are used for solving using the Julia solver in TimeseriesPrediction.jl.
context_page_description: 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.
context_section_description: In mathematics, the Kuramoto–Sivashinsky equation (also called the KS equation or flame 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.
caption: A spatiotemporal plot of a simulation of the Kuramoto–Sivashinsky equation
exif: {}