Stochastic Lagrangian Flows for SDEs with rough coefficients

Stochastic Lagrangian Flows for SDEs with rough coefficients

We prove the existence and uniqueness of Stochastic Lagrangian Flows and almost everywhere Stochastic Flows for non-degenearted SDEs with rough coefficients. As an application of our main result, we show that there exists a unique Stochastic Flow corresponding to each Leray-Hopf solution of 3D Navie...

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1. Verfasser: Zhao, Guohuan
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Analysis of PDEs
Mathematics - Probability
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Zusammenfassung:We prove the existence and uniqueness of Stochastic Lagrangian Flows and almost everywhere Stochastic Flows for non-degenearted SDEs with rough coefficients. As an application of our main result, we show that there exists a unique Stochastic Flow corresponding to each Leray-Hopf solution of 3D Navier-Stokes equation in the DiPerna-Lions sense.
DOI:10.48550/arxiv.1911.05562