Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5499966 | Journal of Geometry and Physics | 2017 | 17 Pages |
Abstract
We consider the generalization of the Navier-Stokes equation from Rn to the Riemannian manifolds. There are inequivalent formulations of the Navier-Stokes equation on manifolds due to the different possibilities for the Laplacian operator acting on vector fields on a Riemannian manifold. We present several distinct arguments that indicate that the form of the equations proposed by Ebin and Marsden in 1970 should be adopted as the correct generalization of the Navier-Stokes to the Riemannian manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chi Hin Chan, Magdalena Czubak, Marcelo M. Disconzi,