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math.PR2015★ 16 cited
Constantin and Iyer's representation formula for the Navier--Stokes equations on manifolds
Shizan Fang, Dejun Luo
The purpose of this paper is to establish a probabilistic representation formula for the Navier--Stokes equations on compact Riemannian manifolds. Such a formula has been provided…
math.DG2015
A characterization of the rate of change of -entropy via an integral form curvature-dimension condition
Dejun Luo
Let be a compact Riemannian manifold without boundary and a smooth function. Denote by and the semigroup and symmetric measur…