Irreducibility of kuramoto-sivashinsky equation driven by degenerate noise

HIGHLIGHTS

• who: Gao Peng from the The Kuramoto-Sivashinsky equation (KSE) ut + uxxxx + uxx + uux=, was derived independently by Kuramoto et_al in [34-36] as a model for phase turbulence in reaction-diffusion systems and by Sivashinsky in [41] as a model for plane flame propagation, describing the combined influence of diffusion and thermal conduction of the gas on stability of a plane flame frontThe KSE is also a mathematical model of reaction-diffusion systems and is related to various pattern formation phenomena where turbulence or chaos appear [2, ]. The KSE has been studied as a prototypical example . . .
  

   

  

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