 ##  [Kuramoto–Sivashinsky Model](/kuramoto-sivashinsky-model) 

  ##  [Kuramoto–Sivashinsky Model](https://mathlogic.quantumdictionary.io/kuramoto-sivashinsky-model-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A nonlinear fourth-order partial differential equation (commonly written ut + uxxxx + uxx + uux = 0 up to coefficient signs and scalings) used as a prototypical model for spatiotemporal instability, pattern formation and low-dimensional chaotic dynamics emerging from the competition between destabilizing and stabilizing terms plus nonlinearity.