標題: The formulation of the Navier-Stokes equations on Riemannian manifolds
作者: Chan, Chi Hin
Czubak, Magdalena
Disconzi, Marcelo M.
應用數學系
Department of Applied Mathematics
關鍵字: Navier-Stokes;Formulation;Riemannian manifolds;Deformation tensor
公開日期: 1-十一月-2017
摘要: We consider the generalization of the Navier Stokes equation from R-n 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. (C) 2017 Elsevier B.V. All rights reserved.
URI: http://dx.doi.org/10.1016/j.geomphys.2017.07.015
http://hdl.handle.net/11536/143918
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2017.07.015
期刊: JOURNAL OF GEOMETRY AND PHYSICS
Volume: 121
起始頁: 335
結束頁: 346
顯示於類別:期刊論文