The Burgers equation with Poisson random forcing

@article{Bakhtin2013TheBE,
  title={The Burgers equation with Poisson random forcing},
  author={Yuri Bakhtin},
  journal={Annals of Probability},
  year={2013},
  volume={41},
  pages={2961-2989}
}
  • Yuri Bakhtin
  • Published 26 September 2011
  • Mathematics
  • Annals of Probability
We consider the Burgers equation on the real line with forcing given by Poissonian noise with no periodicity assumption. Under a weak concentration condition on the driving random force, we prove existence and uniqueness of a global solution in a certain class. We describe its basin of attraction that can also be viewed as the main ergodic component for the model. We establish existence and uniqueness of global minimizers associated to the variational principle underlying the dynamics. We also… 
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