• Corpus ID: 117946144

Uniqueness and blow-up for the noisy viscous dyadic model

  title={Uniqueness and blow-up for the noisy viscous dyadic model},
  author={Marco Romito},
  journal={arXiv: Probability},
  • M. Romito
  • Published 2 November 2011
  • Mathematics
  • arXiv: Probability
We consider the dyadic model with viscosity and additive Gaussian noise as a simplified version of the stochastic Navier-Stokes equations, with the purpose of studying uniqueness and emergence of singularities. We prove path-wise uniqueness and absence of blow-up in the intermediate intensity of the non-linearity, morally corresponding to the 3D case, and blow-up for stronger intensity. Moreover, blow-up happens with probability one for regular initial data. 

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