Ikeda-Watanabe's connection, Brownian motion and Navier-Stokes equation on Riemannian manifolds
We consider the Navier-Stokes equation on a Riemannian manifold with the Ricci curvature bounded below. In stochastic analysis, a non-degenerate diffusion process on a Riemannian manifold was obtained by rolling Brownian motion with respect to a suitable metric compatible linear connection, which wa...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Osaka University and Osaka Metropolitan University, Departments of Mathematics
2024
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