Abstract
To characterize Navier-Stokes type equations where the Laplacian is extended to a singular second order differential operator, we propose a class of SDEs depending on the distribution in future. The well-posedness and regularity estimates are derived for these SDEs.
Funding Statement
Supported by NNSFC (11831014, 11921001).
Acknowledgments
The author would like to thank the referee for helpful comments, and Professor Zhongmin Qian for sending him their interesting papers.
Citation
Feng-Yu Wang. "Distribution dependent SDEs for Navier-Stokes type equations." Electron. Commun. Probab. 27 1 - 12, 2022. https://doi.org/10.1214/22-ECP479
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