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2022 Distribution dependent SDEs for Navier-Stokes type equations
Feng-Yu Wang
Author Affiliations +
Electron. Commun. Probab. 27: 1-12 (2022). DOI: 10.1214/22-ECP479

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

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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

Information

Received: 3 March 2022; Accepted: 25 July 2022; Published: 2022
First available in Project Euclid: 11 August 2022

Digital Object Identifier: 10.1214/22-ECP479

Subjects:
Primary: 35A01 , 60H10

Keywords: distribution dependent SDE , Navier-Stokes type equation , well-posednes

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