Corpus ID: 8242356

Self-organized criticality via stochastic partial differential equations

@inproceedings{Barbu2008SelforganizedCV,
  title={Self-organized criticality via stochastic partial differential equations},
  author={Viorel Barbu and Philippe Blanchard and Giuseppe Da Prato and Michael Rockner},
  year={2008}
}
  • Viorel Barbu, Philippe Blanchard, +1 author Michael Rockner
  • Published 2008
  • Mathematics, Physics
  • Models of self-organized criticality, which can be described as singular diffusions with or without (multiplicative) Wiener forcing term (as e.g. the Bak/Tang/Wiesenfeld- and Zhang-models), are analyzed. Existence and uniqueness of nonnegative strong solutions are proved. Previously numerically predicted transition to the critical state in 1-D is confirmed by a rigorous proof that this indeed happens in finite time with high probability. 

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