• Corpus ID: 243847670

Surface Quasi-Geostrophic Equation driven by Space-Time White Noise

  title={Surface Quasi-Geostrophic Equation driven by Space-Time White Noise},
  author={Philipp Forstner and Martin Saal},
We consider the Surface Quasi-Geostrophic equation (SQG) driven by space-time white noise and show the existence of a local in time solution by applying the theory of regularity structures. A main difficulty is the presence of Riesz-transforms in the non-linearity. We show how to lift singular integral operators with a particular structure to the level of regularity structures and using this result we deduce the existence of a solution to SQG by a renormalisation procedure. The fact that the… 

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