Numerical continuation for fractional PDEs: sharp teeth and bloated snakes

19 Feb 2020 Noémie Ehstand Christian Kuehn Cinzia Soresina

Partial differential equations (PDEs) involving fractional Laplace operators have been increasingly used to model non-local diffusion processes and are actively investigated using both analytical and numerical approaches. The purpose of this work is to study the effects of the spectral fractional Laplacian on the bifurcation structure of reaction-diffusion systems on bounded domains... (read more)

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Categories


  • ANALYSIS OF PDES
  • PATTERN FORMATION AND SOLITONS
  • 35R11, 37M20, 35B32