• Corpus ID: 243847670

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

@inproceedings{Forstner2021SurfaceQE,
title={Surface Quasi-Geostrophic Equation driven by Space-Time White Noise},
author={Philipp Forstner and Martin Saal},
year={2021}
}
• Published 8 November 2021
• Mathematics
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…
1 Citations
• Mathematics
• 2022